Answer:
[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Step-by-step explanation:
when a line is parallel the slope is the same for both
y=mx+b is slope intercept form where m is slope and b is intercept
we know the slope is 2/3 so to find b we just fill it in with coordinates
-2=2/3(-5)+b
-2=-10/3+b
+10/3 +10/3
4/3=b
y=2/3x+4/3
hopes this helps please mark brainliest
Tom and rosie are designing a game. In each turn, a player rolls five 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=51+1+1+1+1=51, plus, 1, plus, 1, plus, 1, plus, 1, equals, 5 points, and the highest is 6+6+6+6+6=306+6+6+6+6=306, plus, 6, plus, 6, plus, 6, plus, 6, equals, 30 points.
Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
Based on the expected value, Rosie's statement is correct.
The expected value, denoted as E(X), represents the average or mean value of a random variable, in this case, the sum of points in a given turn when rolling the five dice.
Tom's statement, "A player will most likely get 17.5 points in any given roll," is not accurate. The expected value of 17.5 points does not necessarily mean that a player is most likely to get exactly 17.5 points in any single roll. Instead, it indicates that over many rolls, the average value of points earned in a turn is 17.5 points.
On the other hand, Rosie's statement, "Over 100 turns, we can expect a total of about 175 points," is correct. Since the expected value is 17.5 points per turn, over 100 turns, we can expect the total sum of points to be approximately 100 turns × 17.5 points/turn = 1750 points.
In summary, the expected value of 17.5 points represents the average outcome over multiple rolls, and based on this value, Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
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The complete question:
Tom and Rosie are designing a game. In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=5 points, and the highest is 6+6+6+6+6=30 points.
They let X represent the sum in a given turn, and they find the expected value of X is E(X) = 17.5 points.
Tom says, "A player will most likely get 17.5 points in any given roll."
Rosie says, "Over 100 turns, we can expect a total of about 175 points."
Whose statement is correct based on the expected value?
I am thinking of a number. When I divide my number by $7$ and subtract $\dfrac{3}{5},$ I get back my original number. What is my number?
Calculate how far each of the following travels. A helicopter flies at a speed of 72miles per hour for 10 minutes
Answer:
12 miles
Step-by-step explanation:
72 x [tex]\frac{10}{60}[/tex] = 12
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!
Answer:
the remaining mass is 7.3 g
Step-by-step explanation:
a=30g
t=200 years
h=98 years
f(98)=a([tex](\frac{1}{2})^ \frac{t}{h}[/tex]
f(98)=30([tex](\frac{1}{2})^ \frac{200}{98}[/tex]
f(98)=7.3
A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year.Principal Rate Effective Date Partial Payment Maturity Date Amount Date $2000 4% April 1 $1000 May 1 June 1 The balance due on the note at the date of maturity is $nothing.(Round to the nearest cent as needed.)
The balance due on the note at the date of maturity is $1010.13.
What is meant by partial payment?The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.
Given permission to apply the US rule
In the United States, a year is deemed to have 360 days for the purposes of calculating interest.
Given that the principal is $ 2000,
Interest rate = 4% = 0.04
The effective date is April 1.
The whole amount is $1,000.
May 1 = partial payment
Duration = 30 days (May 1 - April 1)
Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67
So value = $ 2000 + $6.67 = $6.67
Partial payment received = $1,000
As a result, value = $ 1006.67 = $2006.67 - $ 1000
Time T= 31
Interest = PTR * 31/360 * 0.04 = 3.46
So the total value is $1006.67 + $3.47 = $1010.13.
The note's outstanding balance at maturity is $1010.13.
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A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point.
The area of the triangle as the function of x is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The point on the line = (2, 1)
The give three points are (0, y), (2, 1) and (x, 0)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
Consider the point (0, y) and (2, 1)
Slope = (1-y) / (2-0)
= (1-y) /2
Consider the point (2, 1) and (x, 0)
Slope = (0-1) / (x-2)
= -1/x-2
Both slopes are equal
(1-y) /2 = -1/x-2
(1-y) = -2 / (x-2)
y = 1 + (2/(x-2))
y = x / (x-2)
The area of the triangle = (1/2)bh
Where b is the base
h is the height
The area of the triangle = (1/2) × x × (x / (x-2))
= [tex]x^2[/tex] / 2x - 4
The domain is x∈(2, ∞)
Hence, the area of the triangle is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The complete question is
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2,1). Write the area of the triangle as a function of x, and determine the domain of the function.
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The sum of three numbers is 23.
Three times the smallest is 4 less than the largest, while the sum of the largest
and smallest is 16. Use a linear system in three variables to find the three numbers.
The three numbers are __ , __
and __
Answer:
The three numbers are 3, 7 and 13
Step-by-step explanation:
Considering the 3 numbers: x, y and z
x + z = 16
z=16-x
3x=z-4
3x=16-x-4
4x=12
x=3
3+z=16
z=16-3
z=13
3+13+y=23
y=23-13-3
y=7
Hope this helps :)
8. Divide-2x³-4x² + 3x + 2 by x-3. (1 point)
-2x²10x-27, R-79
-2x²10x-27
-2x²10x - 27, R 83
-2x²10x + 27, R 83
The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28
What does it mean to divide polynomials?A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.
How do you divide polynomials?Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).
Divide the divisor by the outcome you just got (the first term of the eventual quotient).
By following the above rules where
2x3-4x2+3x+2 is divided by the x-3, We get the following equation
where
quotient is 2x2+2x+10
and the remainder is 28
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Which of the following is a fundamental difference between the t statistic and a z-score?
The t statistic uses the sample variance in place of the population variance.
The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean
How to know the use of t-test and z-score?T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.
The z-core formula is:
Z₁=[tex]\frac{x-m}{s}[/tex]
Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.
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Complete question:
Which of the following is a fundamental difference between the t statistic and a z-score?
A) The t statistic uses the sample mean in place of the population mean
B) All of the choices are differences between t and z.
C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.
D) The t statistic uses the sample variance in place of the population variance.
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
6115
Explanation:
[tex]70000(1-0.15)^{15} \approx 6115[/tex]
(2x² + 3x − 9)
Factor
Is Figure B a scale copy of Figure A
Answer:
YES!!Step-by-step explanation:
First of all let's look at the side lengths of both figures.
Let's see how the corresponding sides relate:-
[tex]\sf 6*\cfrac{1}{3} =3[/tex]
[tex]\sf 3*\cfrac{1}{3} =1[/tex]
We can see that all sides scale by the same factor of 1/3.
Therefore, YES A is a scaled copy of Figure B.
______________________
Hope this helps!
Have a great day!
PLEASE HELP!!! 50 points!!!!!!
System A:
5x + 3y = 2
4x + 3y = 1
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System B:
y = 5x + 8
y = 5x + 5
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System A: (1, -1)
System B: No solution
Answer:
System A
The system has a unique solution: x=1, y=-1
System B
The system has no solution
Step-by-step explanation:
System A
Use simultaneous equations to see if we can solve the system by multiplying the second equation by -1 and adding them together:
5x + 3y = 2
-4x - 3y = -1
We get (5-4)x+(3-3)y=(2-1), which simplifies to x=1
If x=1:
5+3y=2
3y=-3
y=-1
Since we have specific answers for x and y, we can say the system has a unique solution.
System B
If y is equal to both 5x+8 and 5x+5, that means
5x+8=5x+5
Subtracting 5x from both sides we get 8=5, which is illogical.
Therefore the system has no solution
Marta and her family landed in Hong Kong at 1405 hrs then caught another flight, which got them to Dubai at 2250 hrs. If it takes 8 hours and 5 minutes to travel from Hong Kong to Dubai, how long did they have to wait for their second flight?
The had to wait for the second flight for 40 mins.
How long was the wait?We know that sometimes when a person is travelling there may be need to have a flight that connects a person from one place to another and at times you would have to wait for a connecting flight and this wait would add to the total time that is required for the journey.
Now we are told in the question that it takes 8 hours and 5 minutes to travel from Hong Kong to Dubai and that they left Dubai at 2250 hrs but landed in Hong King at 1405 hrs. The time in between must be; 2250 hrs - 1405 hrs = 8: 45 hrs thus the time of waiting is 40 minutes.
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Sheila gained 20 pounds in 9 1/2
Months. Find Sheila’s rate of gaining weight in pounds per month
Answer:
About 2.1 pounds a month.
Step-by-step explanation:
In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.
to find the rate, we can do:
20/9.5
about 2.1
So, the answer will be:
about 2.1 pounds / month
there are 4 different mathematics courses, 5 different science courses, and 2 different history courses. must take one of each how many different ways can this be done
A student can take one of each subject in 40 different ways as calculated using the properties of permutation and combination..
So there are four separate math classes, five different science courses, and two different history courses.
There are now 4 ways to complete a math course.
There are 5 different ways to take science courses.
There are two ways to take a history course.
Total ways are now calculated as the product of the potential ways for each course, which equals 4 × 5 x 2 or 40 ways.
As a result, there are 40 possible combinations for three subjects.
In mathematics, a permutation of a set is, if the set also has an ordered structure, the rearranging of its members into a sequence or linear order. The technique of altering an ordered set's linear order is known as permutation.
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what is answers in 2 this items help me please
1) missing number is 7 (answer #2)
Each circles' numbers add up to 20. (the first one is 1 + 9 + 10, the second is 5 + 4 + 11.)
20 minus 10 minus 3 is 7, so that's the missing number.
2) missing number is 3 (answer #4)
This one's similar to the previous question. Each square's numbers have a sum of 10, this time. (First square is 2 + 7 + 1 + 0, second is 4 + 3 + 1 + 2.)
10 minus 6 minus 1 minus 0 is the same as 10 minus 7. This equals 3- so there's the number that's missing!
Hopefully this helps!
In the diagram, A and B are points
on the circle AC and BC are
tangents to the circle and meet
at C. Work out the angle ACB.
The angle ACB would be 80 degrees.
What is tangent to a circle?
The tangent always makes a single-point contact with the circle. It never intersects the circle twice. Tangents from an external point to a circle have the same length.
In the given figure,
angle AOB = 40.
So angle OBA = 40.
Then the angle AOB = 180 - 40 -40
AOB = 100.
By the theorem of circles,
AOB + ACB = 180
100 + ACB = 180
ACB = 80.
Hence, the angle ACB would be 80 degrees.
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A random sample of 64 sat scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240. the 95onfidence interval for the population mean sat score is: ________
a. 1.96. b. 1.998.
c. 1.645. d. 1.28.
The 95% confidence interval for the population mean SAT score is given as follows:
(1340, 1460).
How to calculate the confidence interval?The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.
The bounds are obtained according to the equation defined as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.In the context of this problem, the values of these parameters are given as follows:
[tex]\overline{x} = 1400, n = 64, s = 240[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.
Then the lower bound of the interval is of:
1400 - 1.998 x 240/sqrt(64) = 1340.
The upper bound of the interval is of:
1400 + 1.998 x 240/sqrt(64) = 1460.
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at the beginning of the day, the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 120 1/4 points. What is the total change in the stock market from the beginning of the day to the end of the day?
The total change in the stock market from the beginning of the day to the end of the day is 89.75
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
At the beginning of the day, the stock market goes up 30 1/2 points.
At the end of the day, the stock market goes down 120 1/4 points.
The total change in the stock market from the beginning of the day to the end of the day.
= 120(1/4) - 30(1/2)
= 481/4 - 61/2
= 120.25 - 30.5
= 89.75
Thus,
The total change in the stock market from the beginning of the day to the end of the day is 89.75
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determine the zeros of f(x)=28x^2−7
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The function is given below.
f(x) = 28x² - 7
For the zeroes of the function, put f(x) = 0, then we have
f(x) = 0
28x² - 7 = 0
x² = 1/4
x = ± 1/2
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
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What is 17 x 5.8 SHOW YOUR WORK please send a photo of work by pressing
Answer:
98.6
Step-by-step explanation:
in photo!!
A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches. How tall would a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet? Round your answer to the nearest hundredth of a foot and enter only the NUMERIAL VALUE of your answer.
The length of Rocky Mountain Juniper tree will be 1.269 feet.
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.
Now,
Let the height of Rocky Mountain Juniper tree = x feet
And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.
So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as;
⇒ 5.1 / 81.6 = x / 20.3
Solve for x as;
⇒ 5.1 × 20.3 / 81.6 = x
⇒ 103.53 / 81.6 = x
⇒ x = 1.269 feet
Thus, The length of Rocky Mountain Juniper tree will be 1.269 feet.
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TRUE OR FALSEfor 95% of the samples from the population, the confidence interval we compute will contain the true mean.
The statement if true, for 95% of the samples from the population, the confidence interval we compute will contain the true mean.
In the given question we have to check whether the given statement is TRUE or FALSE.
The given statement is:
For 95% of the samples from the population, the confidence interval we compute will contain the true mean.
Because the underlying approach succeeds on 95% of random samples, we have a 95% confidence that this confidence interval contains the population mean.
Approximately 95% of the estimated intervals will contain the actual value of the population mean if samples are taken frequently and 95% confidence intervals are generated.
So the given statement is true.
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An 80% confidence interval for a proportion is found to be (0. 27 , 0. 33). What is the sample proportion?
A. 0. 29
B. 0. 30
C. 0. 31
D. 0. 33
If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30
What do you understand by sample proportion?Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.
How to solve?
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
p = (0.27 + 0.33)/2 = 0.30
then the sample proportion would be 0.30
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Vocabulary Use the terms divisor,
dividend, quotient, and remainder to
describe how to divide.
The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Vocabulary Use the terms divisor, dividend, quotient, and remainder.
Now,
If we have to find the divisor , then we can use the divide rule as;
⇒ Divisor = (Dividend - Remainder) / Quotient
Thus, The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
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2n-15=-5n+4n
Thank You
Graph the given sequence to help you answer the
questions.
19, 15, 11, 7, ...
Which point is found on the graph?
Is the sequence linear? Why?
What type of sequence is it?
Answer: the answer is A,B,E
Step-by-step explanation:
Answer: The answer is (four/seven)
Yes, because it forms a straight line.
Arithmetic; it's a linear function.
Step-by-step explanation:
2023 Edgen
Suppose X and Y are independent random variables such that X has uniform (0,1) distribution and Y has exponential distribution with mean 1. Calculate: (a) E[X +Y (b) EXY] (c) EI(X -Y) (d) Elx2e2y
If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3
[tex]2^{2}[/tex][tex]e^{ty}[/tex]x ≈ u (0,1) > Independent
y ≈ exp (1) > Independent
E (x) = 0+1/2 = 1/2
v (x) = [tex][1- 0 ] ^{2}[/tex] / 12 = 1/12
E [tex]x^{2}[/tex] = v (x) + [tex][ E x]^{2}[/tex]
= 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3
E (y) = 1 v(y)=1 E [tex]y^{2}[/tex]= 1+1= 2
E[tex]e^{ty}[/tex] = [tex]\int\limits^_0[/tex][tex]e^{ty}[/tex][tex]e^{-y} dy[/tex]
E[tex]e^{ty}[/tex] = [tex]\int\limits^_0[/tex][tex]e^{-y} (1-t)[/tex] dy
a : E (x+y) = E (x) + E(y)
E (x+y) = 1/2+1 = 3/2
b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2
c: E [tex][x-y]^2[/tex] = E ([tex]x^{2}[/tex]-2xy+ [tex]y^{2}[/tex]
= E [tex]x^{2}[/tex] - 2 Exy + E [tex]y^{2}[/tex]
= 1/3 - 2 x 1/2 + 2
= 1/3 + 1 = 4/3
d. E [tex]x^{2}[/tex] [tex]e^{24}[/tex]
E ([tex]x^{2}[/tex] ) E [tex]e^{24}[/tex] = 1/3 x -1 = - 1/3
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In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0, it means thatthe estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constantthe estimated mean of Y is 2 when X1 equals zero.the relationship between X1 and Y is significant.
The solution is y will increase by 2 units with every unit increase in x1
What do you mean by multiple regression?A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. In order to predict the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
What is the difference between multiple and single regression?X and Y variables are the sole ones in simple linear regression. Two or more x variables and one y variable make up multiple linear regression. For instance, basic linear regression is used when we forecast rent using only square footage.
In the above question:-
Interpretation of b1=2
it means that y will increase every 2 units for every unit increase in x1
holding x2 constant.
Hence option B is the correct answer.
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