3. For eacht>0, suppose the number of guests arriving at a bank during the time interval[0,t)follows a Poisson(λt). a. Denote byXthe arrival time of the first guest. What is the distribution ofX? b. Denote byYthe arrival time of the second guest. What is the distribution ofY?

Answers

Answer 1

a. The distribution of the arrival time of the first guest X is exponential(λ). b. The distribution of arrival time of the second guest Y is Gamma(2, λ).

a) The time between events is exponentially distributed. Therefore, in this case, the number of guests arriving at a bank during the time interval [0,t) follows a Poisson(λt). Denote by X the arrival time of the first guest. This means that we want to know how long we have to wait until the first guest arrives. The waiting time until the first arrival in a Poisson process is an exponential distribution with a rate parameter of λ. Therefore, the distribution of X is exponential(λ).

b) Denote by Y the arrival time of the second guest. The waiting time for the first arrival is an exponential distribution with a rate parameter of λ, as we saw above. After the first arrival, the waiting time for the second arrival is also exponentially distributed with a rate parameter of λ. Therefore, the distribution of the time between the first and second arrivals is the minimum of two independent exponential distributions with a rate parameter of λ. This is equivalent to a Gamma distribution with parameters α =2 and β =λ. Therefore, the distribution of Y is Gamma(2, λ).

To learn more about "Poisson distribution": brainly.com/question/17280826

#SPJ11


Related Questions

I need help, what does this mean

Answers

Answer:

2125 ft/min

33,000 ft

y = -2125x + 33,000

Step-by-step explanation:

A. -2125 feet per minute. You get this number when you divide 17,000 by 8 (rise over run). You could also use the formula y2-y/x2-x1 with the points (0, 33,000) and (8, 17,000).

B. 33,000 feet is the height of the plane before it starts descending, so it must be the starting value.

C. Plug in the values you got for A and B into the slope formula y = mx + b

y = -2125x + 33,000

Bonny has 3 cards and a standard rolling cube. She wants to pick a card and spin the rolling cube at random. How many outcomes are possible?

Answers

There are 18 possible outcomes for Bonny to pick a card and spin a rolling cube at random.

How to calculate How many outcomes are possible

There are a total of 6 outcomes for the rolling cube and 3 outcomes for picking a card. To find the total number of outcomes, we can use the multiplication rule of counting:

Total number of outcomes = number of outcomes for picking a card x number of outcomes for rolling a cube

Total number of outcomes = 3 x 6 = 18

Therefore, there are 18 possible outcomes for Bonny to pick a card and spin a rolling cube at random.

Learn more about probabilities at https://brainly.com/question/24756209

#SPJ1

PLEASE HELP I'LL GIVE THE BRAINLEST

Select the correct answer from each drop-down menu. The scatter plot shows the amount of water in a tank as measured every few minutes. The initial amount of water in tank was 0, 20, 100, or 120 gallons. The line of best fit shows that about 4/3, 3/4, 2/3, or 1/2 gallon(s) of water were lost per minute. The tank will be empty in about 0, 60, 80, or 90 minutes. ​

Answers

Given that the graph is falling downward, it can be seen that the graph is negative.

Before the tank's water level starts to drop, there are 120 gallons there.

Finding the slope of the graph will give us the amount of water that was lost every minute.

Slope is equal to a climb or a run.

increase = water in gallons

run equals time in minutes.

Slope equals y2 - y1 / x2 - x1

Two points will be chosen from the graph.

( 30, 80) and (60, 40) (60, 40)

Let x1=30, y1=80, x2=60, and y2=40.

Slope = 40 - 80 / 60 - 30

Slope = -40 / 30

Slope = -4/3

The result in the negative represents a loss in gallons of water per minute.

According to the line of best fit, a gallon of water was lost every minute or so.

The graph indicates that the tank will be empty in around 60 minutes.

To know more about slope, click the below link

https://brainly.com/question/29283638

#SPJ4

Find $\sin X,\ \sin Z,\ \cos X,\ $ and $\cos Z$. Write each answer as a simplified fraction and rounded to four decimal places

Answers

The result of each trigonometric functions are:

a) sin X = 7√149 / 149

b) sin Z = 10√149 / 149

c) cos X = 10√149 / 149

d) cos Z = 7√149 / 149

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse, and the cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse. Using this trigonometric functions, we can calculate sin X, sin Z, cos X, and cos Z as follows

sin X = YZ / XZ = 7 / √149

cos X = XY / XZ = 10 / √149

sin Z = XY / XZ = 10 / √149

cos Z = YZ / XZ = 7 / √149

To simplify these fractions, we can rationalize the denominator by multiplying the numerator and denominator by √149:

sin X = 7√149 / 149

cos X = 10√149 / 149

sin Z = 10√149 / 149

cos Z = 7√149 / 149

Learn more about trigonometric function here

brainly.com/question/14434745

#SPJ4

The given question is incomplete, the complete question is:

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

A chemist has 20% and 50% solutions of acid available. How many liters of each solution should be mixed to obtain 600 liters of 21% acid solution?

Answers

[tex]x=\textit{Liters of solution at 20\%}\\\\ ~~~~~~ 20\%~of~x\implies \cfrac{20}{100}(x)\implies 0.2 (x) \\\\\\ y=\textit{Liters of solution at 50\%}\\\\ ~~~~~~ 50\%~of~y\implies \cfrac{50}{100}(y)\implies 0.5 (y) \\\\\\ \textit{600 Liters of solution at 21\%}\\\\ ~~~~~~ 21\%~of~600\implies \cfrac{21}{100}(600)\implies 126 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{lcccl} &\stackrel{Liters}{quantity}&\stackrel{\textit{\% of Liters that is}}{\textit{acid only}}&\stackrel{\textit{Liters of}}{\textit{acid only}}\\ \cline{2-4}&\\ \textit{1st Sol'n}&x&0.2&0.2x\\ \textit{2nd Sol'n}&y&0.5&0.5y\\ \cline{2-4}&\\ mixture&600&0.21&126 \end{array}~\hfill \begin{cases} x + y = 600\\\\ 0.2x+0.5y=126 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=600}\implies x=600-y \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.2(600-y)+0.5y=126}\implies 120-0.2y+0.5y=126 \\\\\\ 120+0.3y=126\implies 0.3y=6\implies y=\cfrac{6}{0.3}\implies \boxed{y=20} \\\\\\ \stackrel{\textit{since we know that}}{x=600-y}\implies \boxed{x=580}[/tex]

1. how long is the hall which has a perimeter if 3480 cm and 300cm wide?
2. joe walks across the rotonda and travels 400meters, how many more meters will a car travel around it than the distance the pedestrian walk?
3.father will fence the rectangular yard with a length of 120m and a width of 100m,
how many meters of wire will her use for the fence?

Answers

Answer:

(3480 - 600)/2 = 1440cm

Step-by-step explanation:

Sharon is saving for a new phone. She starts with $42 and earns $15 each week from her parents. How many weeks will it take to save a total of $207?

Answers

Answer:

11 weeks

Step-by-step explanation:

42 + 15 * x = 207

42 + 15x = 207

15x = 207 - 42

15x = 165

x = 11

Hope this helps <3

Pls help!!!

Possible answers

Al m=5. L0=14, NO-12
B) m=7, 10= 14, NO= 14
C m=7, LO=12, NO= 12
D) m=4, L0=13, NO = 14
E) m=5, LO= 14, NO= 15

Answers

So the correct answer is option A) m=5, LO=14, NO-12 for the indicated variables and measures for the figure below.

What is triangle?

A triangle is a closed two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides and the measures of its angles. The sum of the interior angles of a triangle is always 180 degrees, and the length of each side is less than the sum of the lengths of the other two sides. Triangles have many properties and are used in various mathematical and real-world applications, including trigonometry, geometry, and engineering.

Here,

Since all the angles are equal, we can set up the following proportion:

LO/NO = 7/2

Multiplying both sides by NO, we get:

LO = (7/2)NO

We can also use the fact that the angles are equal to set up an equation involving m:

m + (1/2)LO + (1/2)NO = 180

Substituting LO = (7/2)NO, we get:

m + (7/4)NO = 180

Now we can substitute the given values for LO and NO:

m + (7/4)(14) = 180

m + 49 = 180

m = 131

Therefore, the answer is: m = 131, LO = 49, NO = 14

To know more about triangle,

https://brainly.com/question/28600396

#SPJ1

In order to make the same amount of money, they would have to each sell ______ bicycles. They would both make $______.

Answers

They would each need to sell 5 bicycles to make the same amount of money and if they both sell 5 bicycles, they would each make $500.

What do you mean by finding the break-even point ?

The key concept used here is the idea of finding the break-even point between two scenarios. In this case, the break-even point is the number of bicycles that Jim and Tom each need to sell in order to make the same amount of money. This is found by setting their total earnings equal to each other and solving for the number of bicycles. Once the break-even point is found, the total earnings for that number of bicycles can be calculated by plugging it back into the original equations. This concept is commonly used in business and finance to determine the minimum level of sales needed to cover costs and make a profit.

Calculating the number of bicycle and money :

To make the same amount of money, Jim and Tom would have to each sell the same number of bicycles, let's call it "b".

So Jim would make a total of:

250 + 50b dollars

Tom would make a total of:

400 + 20b dollars

To find the value of "b" where they both make the same amount of money, we can set the two expressions equal to each other and solve for "b":

250 + 50b = 400 + 20b

30b = 150

b = 5

Therefore, they would each need to sell 5 bicycles to make the same amount of money.

To find out how much they would make, we can substitute "b=5" into either of the expressions above:

Jim:

250 + 50(5) = $500

Tom:

400 + 20(5) = $500

Therefore, if they both sell 5 bicycles, they would each make $500.

To know more about money visit :

brainly.com/question/14253896

#SPJ1

when performing a hypothesis test based on a 95% confidence level, what are the chances of making a type ii error?

Answers

When performing a hypothesis test based on a 95% confidence level, the chances of making a type II error are 5%.

The process of hypothesis testing is used to determine whether or not a given statistical hypothesis is valid. The objective of this method is to determine whether the null hypothesis can be accepted or rejected based on the sample data obtained.

Hypothesis testing can be used to evaluate two hypotheses. The null hypothesis is the one that must be accepted or rejected, while the alternative hypothesis is the one that must be supported. In other words, hypothesis testing is a way of determining whether the null hypothesis is reasonable or not.

The Type II error is defined as the error that occurs when the null hypothesis is not rejected even though it is incorrect. In hypothesis testing, this type of error is referred to as a beta error or a false-negative error. The chances of making a Type II error depend on several factors, including the sample size, the level of significance, and the power of the test. When the level of significance is lowered to 0.05, the chances of making a Type II error are 5%.

To learn more about type II error refer :

https://brainly.com/question/30699536

#SPJ11

48 identical looking bags of lettuce were delivered to Circle J grocers. Unfortunately, 12 of these bags of lettuce are contaminated with listeria. Joe, from Joes Cafe randomly selects 4 bags of the lettuce for his cafe. Let X equal the number of the selected packets which are contaminated with listeria. a. How many possible ways are there to select the 4 out of 48 packets (order does not matter) without replacement? b. What is the probability thatX=0
c. What is the probability thatX=4? d. What is the probability thatx>2? e. What is the expected value ofX? f. What is the standard deviation ofX? g. What is the probability that X is smaller than its expected value?
h. What is the probability thatX=5?

Answers

Probability that X = 5:Since, Joe selects only 4 bags of lettuce. X can't be 5.P(X=5) = 0Hence, the probability that X = 0 is 0.3164 and the probability that X = 5 is 0.

The given problem can be solved using the concept of binomial distribution.

In the given question, there are 48 bags of lettuce out of which 12 bags are contaminated with listeria.

Joe selects 4 bags of lettuce. X is the random variable which represents the number of contaminated bags of lettuce selected by Joe. X can take values from 0 to 4. (as Joe selects only 4 bags).

Part A)Number of ways to select 4 bags of lettuce out of 48:This can be solved using the concept of combinations. The formula to calculate the number of combinations is[tex]:nCr = n! / r!(n-r)![/tex]Here, n = 48 and r = 4.

Number of ways = 48C4 = 194,580

Part B)Probability that X = 0:This can be calculated using the formula for the binomial distribution :

[tex]P(X = r) = nCr * p^r * q^(n-r)[/tex]

Here, p = probability of selecting contaminated bag = 12/48 = 0.25q = probability of selecting non-contaminated bag = 1-0.25 = 0.75Also, n = 4 and r = [tex]0P(X=0) = 4C0 * 0.25^0 * 0.75^4= 0.3164[/tex]

for such more questions on probability

https://brainly.com/question/13604758

#SPJ11

Identify three points that are solutions to
each system.

Answers

The solutions for the systems of inequalities are:

a) (0, -100), (0, -150), (0, -1000)

b)  (0, 50), (0, 55) , (0, 1,204).

How to identify 3 solutions of each system?

When we have a system of inequalities, a solution is a point that solves both ienqualities at the same time.

The first one is:

y ≤ x - 8

y < -3x - 9

Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -100, replacing that we will get:

-100  ≤ 0 - 8 = -8

-100 < - 3*0 - 9 = -9

Both of these are true, so (0, -100) is a solution, and trivially, (0, -150) and (0, -1000) are other two solutions.

For the second system:

y > 5x + 1

y > 3

Let's do the same thing, x = 0 and y gets really large values, like y = 50

50 > 5*0 + 1 = 1  this is true.

50 > 3   this is true.

so (0, 50) is a solution, and also are (0, 55) and (0, 1,204).

Learn more about systems of inequalities:

https://brainly.com/question/9774970

#SPJ1

13x • 4x^2y

Does it equal 52x^2y? Or can you not combine them?

Answers

We can simplify the expressiοn tο  [tex]52x^3y,[/tex] nοt [tex]52x^2y[/tex].

In math, hοw dο yοu sοlve expressiοns?

Yοu must substitute a number fοr each variable and perfοrm arithmetic οperatiοns tο evaluate an algebraic expressiοn. Because 6 + 6 = 12, the variable x in the preceding example is equal tο 6. We can evaluate the expressiοn after replacing the variables with their values if we knοw their values.

We can use expοnent prοperties tο simplify the expressiοn [tex]13x[/tex]• [tex]4x^2y[/tex]:

[tex]13x[/tex]•[tex]4x^2y = 13[/tex] • [tex]x^1[/tex]• 4 • [tex]x^2[/tex]•[tex]y^1[/tex]

[tex]= 52[/tex]• [tex]x^3[/tex]•[tex]y^1[/tex]

As a result, we can simplify the expressiοn tο [tex]52x^3y[/tex] rather than[tex]52x^2y.[/tex]

To know more about Expression visit:

brainly.com/question/28170201

#SPJ1

A rectangle has a length of (x+4)cm and a width of (3x-1)cm. It’s perimeter is 78cm
Calculate the value of x

Answers

Answer:

X≈ 2,37 cm

x= (-11+√637)/6 cm

Step-by-step explanation:

What is the meaning of logarithm in math?

Answers

In mathematics, a logarithm is a mathematical operation that determines how many times a given number (known as the base) must be multiplied by itself to produce another given number.

Logarithms are used to simplify complex calculations involving exponents and to convert between exponential and logarithmic expressions.

The logarithm of a number x to a given base b is represented as logb(x). For example, log10(100) = 2 because 10 multiplied by itself twice equals 100.

Logarithms have a wide range of applications in various fields, including mathematics, physics, engineering, finance, and computer science. They are particularly useful in scientific calculations involving large numbers, where working with exponents can become cumbersome. Logarithms are also used in the study of exponential growth and decay, as well as in the analysis of data sets with a wide range of values.

To learn more about logarithms

https://brainly.com/question/28346542

#SPJ4

You ate 4/12 of the pizza your family bought for dinner. Your brother ate 3/12 of the pizza. Which equation represents the fraction of pizza both you and your brother ate?

Answers

Answer:

7/12 pizzas have been eaten

Step-by-step explanation:

3 + 4= 7

7/12

7-12=5

5 pizzas left

Jamar delivers sandwiches for a restaurant that charges $9. 50 for each sandwich plus an $8 delivery fee. Jamar has an order that totals $65. Write an equation to describe this situation

Answers

Answer:

9.5x + 8 = 65

Step-by-step explanation:

Let x = number of sandwiches.

The cost of x sandwiches is 9.5x.

The delivery fee is $8.

The total cost of an order is the price of the sandwiches, 9.5x plus the delivery fee, 8.

In this case, the total cost is $65.

9.5x + 8 = 65

Answer:

$65

Step-by-step explanation:

X=9.50 because you add the $8 delivery fee to equal 65 in total.

8. Using only a compass and straightedge, find the image of A after a rotation by 180° counterclockwise about point B. Label the image A', please provide a picture of the answer

Answers

When a point is rotated, it must be rotated around a point.

See attachment for the image of the rotation about point K

How to construct triangles?

We should note the following:

In order to construct triangles, you will need a protractor, a pair of compasses and a ruler. To draw the triangle, three properties must be taken into account: length, angle and shape

The given parameters are:

ΔEFG

The angle of rotation is

∅ = 180⁰

The above angle of rotation means that:

The translated triangle will be 180 degrees from ΔEFG about point K.

It also means that:

ΔEFG and ΔE'F'G' will be equidistant from point K

See attached image for ΔE'F'G'

Learn more about construction of triangles on https://brainly.com/question/12990797

#SPJ1

Tristan is going to invest in an account paying an interest rate of 6.2% compounded monthly. How much would Tristan need to invest, to the nearest cent, for the value of the account to reach $18,100 in 12 years?

Answers

Answer:

Step-by-step explanation:

We can use the compound interest formula to solve this problem:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (which is given as $18,100)

P = Principal amount (the amount Tristan needs to invest)

r = Annual interest rate (6.2%)

n = Number of times interest is compounded per year (12)

t = Time in years (12)

Substituting the values in the formula:

18,100 = P(1 + 0.062/12)^(12*12)

Simplifying the right-hand side:

18,100 = P(1.00516666667)^144

Dividing both sides by (1.00516666667)^144:

P = 18,100 / (1.00516666667)^144

P = $8,167.75 (rounded to the nearest cent)

Therefore, Tristan needs to invest $8,167.75, to the nearest cent, for the value of the account to reach $18,100 in 12 years.

Please help , I’ve never been the best at math. I just need to know how to plot and connect the points and if it’s exponential or linear.

Answers

Answer: To plot and connect the points, you can use a graphing software or a graphing calculator. Once the points are plotted, you can determine if the graph is linear or exponential by looking at the slope of the line. If the slope is increasing or decreasing exponentially, the graph is exponential. If the slope is constant, the graph is linear.

Step-by-step explanation:

Hi. Please help me convert this non-linear to linear form y=mx+c. The answer is square root of y= 6/p x - 2/q .
Thank you so much.

Answers

Answer: To convert the given equation, √y = (6/p)x - (2/q), into the linear form y = mx + c, we can use the following steps:

Square both sides of the equation to eliminate the square root:

√y = (6/p)x - (2/q)

√y^2 = (6/p)x - (2/q)^2

Simplifying the right-hand side, we get:

y = (36/p^2)x - (4/q) + 4/q^2

Rearrange the equation to the form y = mx + c:

y = (36/p^2)x + (4/q^2 - 4/q)

So the linear form of the given non-linear equation is y = (36/p^2)x + (4/q^2 - 4/q).

Step-by-step explanation:

Harmonicas. When ordering a new box of harmoniens, let X denote the time until the box arrives, and let y denote the number of harmonicas that work properly. Is X a continuous or discrete random variable? Why? Is Y a continuous or discrete random variable? Why?

Answers

X is a discrete random variable and Y is a discrete random variable because they both measure countable values rather than continuous values.

X is a discrete random variable because the time until the box arrives is measured in discrete, countable intervals such as days, weeks, or months. Y is a discrete random variable because the number of harmonicas that work properly is a countable number, rather than a continuous, measured value.

For example, the box could arrive in one week, or it could arrive in one month. Therefore,[tex]X[/tex] is discrete. Similarly, Y is discrete because there will be a certain number of harmonicas that work properly, such as 12, 15, 20, etc. So, Y is also discrete.

for such more questions on random variable
https://brainly.com/question/17217746

#SPJ11

PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT

Answers

Answer:

The perimeter is the sum of the lengths of all the sides of a polygon. Thus, the perimeter of this quadrilateral is:

(10a-6) + (7a+4) + (7a+4) + (10a-6)

Simplifying the expression:

= 34a - 4

Therefore, the perimeter of the quadrilateral is 34a - 4.

What is an equation of the line that passes through the points ( 3 , 6 ) (3,6) and ( − 1 , − 6 ) (−1,−6)?

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 6 ) and (x₂, y₂ ) = (- 1, - 6 )

m = [tex]\frac{-6-6}{-1-3}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 6 )

6 = 3(3) + c = 9 + c ( subtract 9 from both sides )

- 3 = c

y = 3x - 3 ← equation of line

5 A bathtub contains 35.5 liters of water.
When the plug is removed, 5 liters of wate
drain from the bathtub each minute. How
many minutes will it take all of the water to
drain from the bathtub?
A 177.5
B 7.1
C 17.75
D 6.95. i cant find my answer

Answers

Answer:

Option B

Step-by-step explanation:

Using Proportionality, we get

Let x be the quantity of water in bathtub. Y be time it be removed.

By formula, x2/y2= k = x1/y1

x/y = 5/1(x1=5, y1= 1)[Given]

5x2= 35.5

35.5 = 5y2

=> y = 35.5/5 = 7.1 minutes

Given that sec n - tan n = ¼ , find sec n + tan n

Answers

Given, [tex]$$(\sec n - \tan n) = \frac{1}{4}[/tex], so, using Trigonometry we can obtain [tex]$$\sec n + \tan n = 0$$[/tex].

Trigonometry is a branch of mathematics that deals with the study of relationships between the sides and angles of triangles. It involves the study of trigonometric functions such as sine, cosine, and tangent, and their applications to various fields such as engineering, physics, and navigation. Trigonometry helps in solving problems related to triangles, circles, and periodic phenomena such as waves and oscillations.

To find sec n + tan n using the given equation, we can use the following identity:

[tex]$$\sec^2 n - \tan^2 n = 1$$[/tex]

Multiplying both sides of the given equation by sec n + tan n, we get:

[tex]$$(\sec n - \tan n)(\sec n + \tan n) = \frac{1}{4}(\sec n + \tan n)$$[/tex]

Using the identity above, we can simplify the left-hand side of the equation as:

[tex]$$\sec^2 n - \tan^2 n = 1$$[/tex]

Therefore, we can substitute 1 for [tex]sec^2 n - tan^2[/tex] n in the equation above to get:

[tex]$$(\sec n - \tan n)(\sec n + \tan n) = \frac{1}{4}(\sec n + \tan n)$$[/tex]

[tex]$$1(\sec n + \tan n) = \frac{1}{4}(\sec n + \tan n)$$[/tex]

Simplifying further, we get:

[tex]\frac{3}{4} * $$(\sec n + \tan n) = 0[/tex]

Therefore, we can solve for sec n + tan n as:

[tex]$$\sec n + \tan n = \frac{0}{\frac{3}{4}}$$[/tex]

[tex]$$\sec n + \tan n = 0$$[/tex]

Find out more about Trigonometry

brainly.com/question/20197752

#SPJ4

Write as an expression the difference of 7 and twice the product of a and b

Answers

The expression represents the difference of 7 and twice the product of a and b is 7 - 2ab

Let's break down the given problem step by step. First, we need to find the product of a and b, which is done by multiplying the two variables together using the multiplication symbol (*). Then, we need to multiply this result by 2, which is done by placing the entire product inside parentheses and then multiplying it by 2 using the multiplication symbol again.

Once we have found twice the product of a and b, we need to subtract it from 7. This can be done using the subtraction symbol (-), which we place between 7 and the expression we just found.

Putting it all together, the expression we get is:

7 - 2ab

where a and b are the two variables we were given.

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

Use substitution to solve -4x + y = 3, 5x - 2y = -9

Answers

Using  the substitution method, the solution of the system of equations -4x + y = 3 and 5x - 2y = -9 is (x, y) = (1, 7)

We can solve this system of equations using the substitution method by solving for one variable in terms of the other in one equation, and then substituting that expression into the other equation. Here's how:

-4x + y = 3 (Equation 1)

5x - 2y = -9 (Equation 2)

Solving Equation 1 for y, we get:

y = 4x + 3

Now, we substitute this expression for y into Equation 2 and solve for x:

5x - 2(4x + 3) = -9

5x - 8x - 6 = -9

-3x = -3

x = 1

We have found the value of x to be 1. Now, we substitute this value back into Equation 1 to find the value of y:

-4(1) + y = 3

y = 7

Therefore, the solution to the system of equations is (x, y) = (1, 7)

Learn more about substitution method here

brainly.com/question/14619835

#SPJ4

Suppose I'm trying to prove that 2 divides n2 - n for any natural number n If the end/goal of my induction step is 2 divides p2 Then my inductive hypothesis must have been Select one: a. n-n is true for n-0,1...,p-1 b.2 divides n2 - n for n-0,1,..,k-1 C. 2 divides n - n for n=0,1,...,p-1 d. 2 divides n-n for n=0,1,...,p e. 2 divides n -n for n=0,1,...,p+1

Answers

The option B is the correct option.

Suppose I'm trying to prove that 2 divides n2 - n for any natural number n. If the end/goal of my induction step is 2 divides p2 then my inductive hypothesis must have been 2 divides n2 - n for n = 0,1,...,p-1. The correct option is B.What is natural induction?The concept of natural induction is based on the notion of logical implication, in which the validity of the subsequent statement is demonstrated using the initial statement. Suppose, for example, you want to show that P(2) is valid. A hypothesis is a statement that is proven using induction; it is the statement that P(n) is valid for a natural number n.Suppose I'm trying to prove that 2 divides n2 - n for any natural number n. If the end/goal of my induction step is 2 divides p2 then my inductive hypothesis must have been 2 divides n2 - n for n = 0,1,...,p-1. Therefore, option B is the correct option.

learn more about Correct

brainly.com/question/23939796

#SPJ11

which degenerate conic is formed when a double cone is sliced at the apex by a plane perpendicular to the base of the cone?

Answers

When a double cone is sliced at the apex by a plane perpendicular to the base of the cone, the resulting conic section is a parabola.

Option B is the correct answer.

We have,

A parabola is a type of conic sect ion that can be defined as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).

In the case of slicing a double cone at the apex, the resulting conic section will have the characteristic shape of a parabola.

The slicing plane intersects both sides of the double cone, creating a curved shape that opens upward or downward, depending on the orientation of the cone.

The vertex of the parabola corresponds to the point of intersection of the slicing plane with the double cone.

Therefore,

When a double cone is sliced at the apex by a plane perpendicular to the base, a parabola is formed.

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ12

The complete question:

Which degenerate conic is formed when a double cone is sliced at the apex by a plane perpendicular to the base of the cone?

A. Circle

B. Parabola

C. Ellipse

D. Hyperbola

Other Questions
What is the y-intercept of y = 2/3 x + 2? Responses A (3, 2)(3, 2) B (2, 3)(2, 3) C (-3, 0)(-3, 0) D (0, 2) jerome and jana relinquish the legal right to exercise control of their 17 year old daughter meredith because In the human physiology lab you could measure the physiological activity of all of the following EXCEPT: Select one: a. Muscles b. Heart c. Lungs d. Liver. randy halasan 2003,2007,2014 life1.2003-2.2007-3.2014-i need it now thnks- The _____ in a survey is simply the percentage of people who were selected in the sample who actually completed the survey. A love expert carried out a study to quantify the effect of love songs on emotion. To do so, he used 30 volunteers. He randomPublishersassigned the 30 volunteers to listen to either a love song or classical music. Then he asked them to draw a heart on a piece of paper. He measured the size of the heart drawn from bottom to top, in inches, for each person. The results are displayed in the stem and leaf plots. Given the triangle below, what is mA, rounded to the nearest tenth? B 12 Triangle not drawn to scale A. 60.4 B. 2.2 10 O C. 58.2 OD. 55.8 C SUBMIT Use the accompanying list to answer the 4 questions below. a. Improvements in technology. b. Increases in the supply (stock) of capital goods. c. Purchases of expanding output. d. Obtaining the optimal combination of goods, each at least-cost production e. Increases in the quantity and quality of natural resources. f. Increases in the quantity and quality of human resources. 1. As distinct from the demand and efficiency factors of economic growth, the supply factors of economic growth are: ____, ____, _____, and ____ only. It the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress-concentration factor Kts of 1.6 is induced by the 1/8" fillet. The length of shaft A from the fixed support to the connection at shaft B is 2 ft. The load F cycles from 150 t0 500 lbf.For shaft A, find the factor of safety for infinite life using the modified Goodman fatigue failure criterion using the von Mises combined stress approach. Find the unknown lengths in these similar triangles. (Round off to two decimal places.) The table below shows monetary assets for a banking sector at the end of a year.Monetary AssetsValue (in millions)Monetary Base$4,000$4,000Currency in Circulation$1,500$1,500M1$6,500$6,500Based on the data provided, what is the value of total reserves held by depository institutions?A. $500 millionB. $1,500 millionC. $2,500 millionD. $5,500 millionE. $8,000 million Which aspects in the election system of Nepal do you feel necessary for improvement and why? Provide your suggestions What is the effective strategy for extinction? suppose charlie encountered resistance to his plans to improve contingency planning. what appeals could he use to sway opinions toward improved business contingency planning? the solution set is5r+20/10=3r-6/3 determine the truth or falsehood of a proposition or predicate including compound or negated statements. Explain, briefly, why Muslims and Hindus in India did not get along. Use complete sentences in your answer. what case decided that evidence obtained unlawfully may not be used against defendants in criminal court? boiling point (bp) elevation is a colligative property. rank the following 0.10 m solutions from lowest to highest bp. i. ammonia ii. methylamine iii. diethylamine iv. t-butylamine Watson and Crick, the pair of researchers who determined the structure of DNA, deduced the pairing of nucleotides in DNA using information learned from Erwin Chargaff. Which of the following is the correct pairing of nucleotides in DNA?a guanine with adenine; cytosine with adenineb adenine with thymine; guanine with cytosinec cytosine with guanine; uracil with adenined cytosine with adenine; thymine with guanine