Answer:
to emphasize that the United States was founded to secure the rights of everyone
to highlight that each individual state should get to decide who is allowed to vote
Step-by-step explanation:
Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?
Answer:
a) Rs 603.68
b) Rs 476.33
c) first division
Step-by-step explanation:
Total profit = profit 1 + profit 2 = P
hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]
A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company
$13.41 = Rs 603.68
B) specifying the 5th percentile of profit
p = $10.59 ≈ Rs 476.33
C) The division that has a larger probability of making a loss in a given year is the first division
attached below is a detailed solution of the given problem
A): Range containing 95% probability for profit of company is
(Rs. 99M, Rs. 1026M).
B): Rs. 170.1 Million.
C): First division of the company has larger probability of making a loss.
Given that:
$1 = Rs. 45
[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]
Thus,
Company's profit:
[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]
A):
95% of the probability lies between 1.96 standard deviations of the mean.
Thus range is:
[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]
B): Fifth percentile is calculated as:
[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]
From p values of z score table, we get:
[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]
Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.
Or 5th percentile of profit is Rs. 170.1 Million.
C): Loss is when profit < 0
Thus: p < 0
The first division of company, thus have larger probability of making a loss in a given year.
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Please help! I’ll mark you as brainliest if correct
Answer:
Both answers are correct
Find the unit rate.
Please help ty! :)
Answer:
0.008333 Servings per Calorie
Step-by-step explanation:
12x12x12x10.4 in a ahedron
Answer:
it 17971.2 ;)
Step-by-step explanation:
_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism
= Tolerance for ambiguity
Step-by-step explanation:
indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
if Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
a- (x,y) -> (-5,7y)
b- (x,y) -> (5/2x,5/2y)
c- (x,y) -> (5x,5y)
d- (x,y) -> (5/2x,7/3y)
Answer:
B [tex](x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)[/tex]
Step-by-step explanation:
Dilations
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B [tex]\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}[/tex]
6x – 5 = 37 Please help I need it
98 points Please help
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
14 POINTS! PLEASE HELP!!!!
Answer:
Do (8, -9) times 5 for both numbers
Step-by-step explanation:
I will give Brainiest to whoever answers correctly !!!
Hey there!
I believe the answer to your question is 47.21 ml of oxygen are in the 55 ml sample of sea water.
To get this, you can do 0.8584 x 55 = 47.212, because you want to find 85.84% of 55, to know how much oxygen is in the sample. Then, you round it to the nearest hundreth.
Hope it helps! Have a great day! Do tell me if I'm mistaken.
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
Im getting kicked out the house if i fail this please help
Answer:oop I put the answer in da wrong play my bad have a good day or night
Step-by-step explanation:
M=2
my teacher would like me to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :) *the ratios are to be turned into fractions.*
Answer:
84
Step-by-step explanation:
52%of math problem are pointless.
52%of math problem= pointless
52%of 175
(52/100)×175
91=pointless
math problem - pointless =non pointless
175 - 91 = 84
what is the answer 2x5-5=
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.
Answer:
the average number of trucks per 5 hours is 3.750 trucks per 5 hours
Step-by-step explanation:
The computation of the average number of trucks per 5 hours is given below:
= Number of trucks passed ÷ time taken × given time
= 18 trucks ÷ 24 trucks × 5
= 3.750 trucks per 5 hours
Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours
The same is to be considered by applying the above formula
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.
Required:
a. What is the random variable?
b. What is the probability that none of the households in the sampled group have landline phone service?
c. What is the probability that exactly five of the households in the sampled group have a landline phone service?
Solution :
a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.
Here, the landline phone service is p = 53.0%
n = 8
Therefore, q = 1 - p
= 1 - 0.53
= 0.47
here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.
b). Let x be the number of household in the sample group having landline phone service.
Probability that none of the household in the sample group have a landline service is
= P( x = 0)
[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]
= 0.002 (using the binomial calculation )
c). Probability that exactly 5 of the household in the sample have a landline service is given by :
P(x = 5)
[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]
= 0.24
Which statement explains why the two systems of equations below have the same solution
Answer: "B"
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.
What is a system of equations?An equation is an expression that shows the relationship between two or more numbers and variables.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given the system of equation as;
A, { 6x + 8y = -10}
{2x - 5y = 12}
B, {8x + 3y = 2}
{12x + 16y = -20}
If we add the first two equations that shown in A, then;
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2, So
2(6x + 8y = -10)
12x + 16y = -20
Therefore, the correct option is Option B.
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Plz help me Plz this is 7th grade math
Answer:
d=90 e=99 f=81
Step-by-step explanation:
d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
3(x + 3) − 2 < 4
does anyone know this?
Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1
Step-by-step explanation:
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
Answer:
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Step-by-step explanation:
3 (x + 3) −2 < 4
Simplify 3 (x + 3) − 2.
Apply the distributive property.
3x + 3 ⋅ 3 − 2 < 4
Multiply 3 by 3.
3x + 9 − 2 < 4
Subtract 2 from 9.
3x + 7 < 4
Move all terms not containing x to the right side of the inequality.
Subtract 7 from both sides of the inequality.
3x < 4 − 7
Subtract 7 from 4.
3x < −3
Divide each term by 3 and simplify.
x < −1
The result can be shown in multiple forms.
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Where did you get the 165?
Answer:
There is not enough information to tell the answer to this problem.
Step-by-step explanation:
sorry
Answer:
Sorry but I cant solve this bc there is not enough info
Step-by-step explanation: :/
When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8
Answer:
B
Step-by-step explanation:
This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation
Answer:
since y=2x+4 just substitute y with 2x+4
2x + 3(2x+4) = 8
so the answer is B
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)
7 csc^2 x + 3.5 cot x − 35 = 0
Answer:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:
sinθ=sin(θ±2kπ)
There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.
Step-by-step explanation:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
What is the correct first step to solve this system of equations? x- 2y=3 and x+2y=6
Answer:
using elimination, the best first step is multiply the first equation by -3. multiply the second equation by 3 doesn't do anything to eliminate one of the unknowns. solving for x in the first equation or solving for y in the second equation are the substitution method, not the elimination method.
Step-by-step explanation:
Use order of operations to solve:
14+15(5)-2^2
Answer: 95
Step-by-step explanation:
follow the order of operations P.E.M.D.A.S
First multiply 15 with 5 and you get 75. Next, 14+75=99
now for the last part 2^2 is 4
99-4=95
if it’s not 95 it’s 85
What's the value of 280?
Question 5 options:
28
1
0
128
Answer:
28⁰ = 1
Step-by-step explanation:
If you raise a number to the power of zero, it becomes 1, regardless of the number. The only exception is 0⁰, which is undefined. Any other value to the power of zero equals one.
The easiest way to see it is like this:
Pick any value, we'll call it x
x⁴ = x⁵ / x
x³ = x⁴ / x
x² = x³ / x
x¹ = x² / x
x⁰ = x¹ / x
Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.
Answer:
280^0 is 1
Step-by-step explanation:
with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)
its really confusing but i tried my best to explain it lol T-T
Solve for x.
3x-161
7x-382
Answer:
Step-by-step explanation:
7x - 382 = 3x - 161
4x - 382 = -161
4x = 221
x = 55.25
(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
Answer:
(C) m∠A′B′C′ = m∠ABC
Step-by-step explanation:
Regardless of what translation or transformation you do to this shape, the angles will always stay the same.
Answer:
Give the other guy who answer brainlyist he is poggers.
Step-by-step explanation:
PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST
show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere
Step-by-step explanation:
x² + y² + z² = 3(2x - y) - 1
x² + y² + z² = 6x - 3y - 1
x² - 6x + y² + 3y + z² = -1
(x - 3)² + (y + 1.5)² + z² = -12.25
(x - 3)² + (y + 1.5)² + z² = -(3.5)²
Since it follows the general equation form, it is a sphere.
