Two random variables x and y are independent if the value of x does not affect the value of y. If the variables are not​ independent, they are dependent. A new random variable can be formed by finding the sum or difference of random variables. If a random variable x has mean μx and a random variable y has mean μy then the means of the sum and difference of the variables are given by the following equations. μx+y=μx+μy μx−y=μx−μy The distribution of a​ test's scores for​ college-bound male seniors has a mean of 1528 and a standard deviation of 319. The distribution of a​ test's scores for​ college-bound female seniors has a mean of 1498 and a standard deviation of 304. One male and one female are randomly selected. Assume their scores are independent.What is the average sum of their scores? What is the average difference of their scores?

Answer:

x=2(5−3iy−2i)

Step-by-step

Regroup terms.

5-3iy= \frac{1}{2} x+2i

​​Simplify \frac{1}{2}x\frac{x}{2}

5-3iy= \frac{x}{2}+2i

Subtract 2i from both sides.

5−3iy−2i= \frac{x}{2}

Multiply both sides by 2.

(5−3iy−2i)×2=x

Regroup terms

2(5−3iy−2i)=x

Switch sides

x=2(5−3iy−2i)

The solution for the variables x and y are 30 and -2/3 respectively:

Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:

Comparing the real sides:

[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]

For the imaginary sides:

[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]

Hence the solution for the variables x and y are 30 and -2/3 respectively:

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Answer:

that's a right angle and its equals 90° but I think you add all of them 56°,31°, and x°

Answer:

x should equal 93

Step-by-step explanation:

180° - 56° - 31 degrees = 93°.

Let me if its wrong and I will correct it if is.

Answer:  A. 46

My reason is that you would want to times each one to see if they would equal 100 so what you would is (2 x 46+8) which equal 100.

Answer:

the answer is -9

could you also please mark me as brainliest?

Complete question is;

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.

1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?

2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?

3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).

Answer:

1) 0.5

2)0.74

3) 0.65

Step-by-step explanation:

1) Since we are told that they had a 50-50 chance of getting the project, Thus;

Probability of a successful bid is;

P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5

2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;

P(request|successful) = 74% = 0.74

3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;

P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]

P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.

Thus;

P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65

Answer:

Step-by-step explanation:

ABC

CBA

1

B

Answer:

1 ABC CBA B is the correct answers

Answer:

1.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -7/9x + 11/3

Combine like terms.

5/9x = 10/3

Multiply by 9/5

x = 6

Plug x in.

y = -7/9(6) + 11/3

y = -42/9 + 11/3

y = -42/9 + 33/9

y = -9/9

y = -1

(6, -1)

2.

-3x - 7y = 18

9x + 2y = 3

Set equal to y.

-3x - 7y = 18

-7y = 3x + 18

y = -3/7x - 18/7

9x + 2y = 3

2y = -9x + 3

y = -9/2x + 3/2

Set equal to each other.

-3/7x - 18/7 = -9/2x + 3/2

57/14x = 57/14

Multiply 14/57.

x = 1

Plug x in.

-3(1) - 7y = 18

-3 - 7y = 18

-7y = 21

y = -3

(1, -3)

Answer:

the answer is complicated it is 5 actully

Step-by-step explanation:

the answer is 5

Answer:

√(65) Simplified

Step-by-step explanation:

Answer:

[3,4,5]

Step-by-step explanation:

the answer is [3,4,5,]

because domain means it is the value of x.

I believe the answer is x ≤ -60.

Answer:

Step-by-step explanation:

set up a proportion

6/4.18 = 33/x

137.94 = 6x

x = $22.99

Answer:

[tex]2x^{2} +3x[/tex]

Step-by-step explanation:

g(2x+3)

x(2x+3)

2x^2+3x

Answer:

*2520

Step-by-step explanation:

A quarter of him income was spent on food

X (representing his income) - x/4= 3x/4

Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.

2/3 * 3x/4= x/2

3x/4-x/2=x/4.

The remaining after all expenses are paid is 630. So:

x/4=630

x=630*4

x=2520

1/4 + 2/3 + 1/12 = 1

That is fraction on

Food + house rent + other items = Total amount

If 1/12 = 630.............. equation 1

Then 1/4 + 2/3 = 11/12

11/12= x................. equation 2

Cross multiply equation 1 & 2

1/12*x = 1155/2

To find x, cross multiply again

2x = 13860

x = 13860/2

x = 6930

This means that 11/12 + 1/12 = 6930 + 630

= 7560

Therefore 2/3(fraction for house rent)*7560(total amount)=5040

Answer is 5040

Answer:

x=7.5

Step-by-step explanation:

4-4/9x=2/3

-4/9x=2/3-4/1

-4/9x=-12/3-2/3

-4/9x=-10/3

TIMES 3 To each side.

-4x=-30

x=7.5

Answer:

-17

Step-by-step explanation:

-4*2=-8

-8*3=-24

-24+7=-17

Answer:

10

There is no explanation I used a calculator

Answer: 4x3=12 5x3=15 6x3=18 7x3=21 This is multiplied by 3

Step-by-step explanation:

Answer:

650 from fiji

Step-by-step explanation:

837-187=f

837-187=650

Answer:

Step-by-step explanation:

I have taken out time to prepare the raw file as a CSV file (comma separated variable) please see attached the excel format.

Z-SCORE= (DataPoint-AVERAGE(DataSet))/STDEV(DataSet)    

IN EXCEL,

AVERAGE, an excel function that calculates the Average of data set

STDEV.S: calculates the standard deviation while treating the data as a ‘sample’ of a population.

STDEV.P: This function calculates the standard deviation while treating the data as the entire population.

kindly find attached the excel sheet, with calculations done

Kindly let me know if you need more information,

Answer:

n>17

Step-by-step explanation:

Step 1: Flip the equation.

n-3>14

Step 2: Add 3 to both sides.

n-3+3>14+3

The value of the n is more than 17 which is mathematically given in the form of an inequality equation as n > 17.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

14 < n - 3 ​

Add 3 on both sides then we have

17 < n

More about the inequality link is given below.

https://brainly.com/question/19491153

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Answer:

He started at 4:09

Step-by-step explanation:

Subtract

Answer: Number 4

Step-by-step explanation: None

Answer: 3.5

Step-by-step explanation:

Answer:

give me a answer

Step-by-step explanation:

Answer:

you can look that up on google, answer is 100.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

and

Right angle equals 90°, therefore

The required solution to the given system of equations is (3,1) using the substitution method.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of given equations following as:

y = - 2x + 7 ....(i)

y = 3x - 8   ....(ii)

We have to determine the solution to the given system using substitution or elimination.

The required solution using the substitution method would be as;

Substitute the value of the equation y = 3x - 8 in equation (ii), and solve for x

3x - 8 = - 2x + 7

3x + 2x = 7 + 8

5x = 15

x = 15/5

x = 3

Substitute the value of x = 3 in equation (ii), and solve for y

y = 3(3) - 8

y = 9 - 8

y = 1

Thus, the solution to the given system of equations is (3,1).

Learn more about the equation here:

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This question is incomplete, the complete question is;

Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)

a. The area to the left of z is 0.8

b. The area to the left of z is 0.882

c. The area to the right of z is 0.8225

(Hint: Enter the positive z-value)

Answer:

a) z = 0.84

b) z = 1.185

c) z = -0.925

Step-by-step explanation:

a)

area to the left of z is 0.8

Making use of the standard normal table

p( Z < z ) = 0.8

we check the the probability of 0.8 in the standard normal table

so the corresponding value of z is 0.84

p( Z < 0.84 ) = 0.8

z = 0.84

b)

area to the left of z is 0.882

Making use of the standard normal table

p( Z < z ) = 0.882

we check the the probability of 0.882 in the standard normal table

so the corresponding value of z is 1.185

p( Z < 1.185 ) = 0.882

z = 1.185

c)

area to the right of z is 0.8225

Making use of the standard normal table

p( Z > z ) = 0.8225

1 - p( Z < z ) = 0.8225

p( Z < z ) = 1 - 0.8225

p( Z < z ) = 0.1775

p( Z < -0.925 ) = 0.1775

z = -0.925