A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission

Answers

Answer 1

Answer:

The value is [tex]\mu = 1050 [/tex]

Step-by-step explanation:

From the question we are told that

The sample size is n = 1500

The probability of a student accepting the admission is p = 0.70

Generally the mean off the distribution of X is mathematically represented as

[tex]\mu = np[/tex]

=>    [tex]\mu  =  1500 *  0.70 [/tex]

=>    [tex]\mu  =  1050 [/tex]


Related Questions

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 35%

Find the 125% of 600lb

Answers

It is 750; in order to find the percentage, you would do 1.25•600, which equals 750.

Answer:

750

Step-by-step explanation:

of means multiply

125% * 600

change to decimal form

1.25 * 600

750

PLEASE SOME1 ANSWER FAST PLS!

Answers

Answer:

30.30

Step-by-step explanation:

solve on the calculator

Simplify the expression.
(5+i)(2-7i)

Answers

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

Jessie enjoys running every day for exercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles. On Wednesday, he ran 2.98 miles. On what day did Jessie run the farthest? *

Answers

Answer:

monday

Step-by-step explanation:

He ran the farthest on Monday, since 3.3 is greater than 3.09 and 2.98.

(5,9), (5-3)
what is the slope?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

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

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.

Answers

Answer:

Small boxes contain 60 paperclips and large boxes contain 175 paperclips.

Step-by-step explanation:

1. Set up two simultaneous equations:

Use s for small boxes and l for large boxes. (You could use any letters)

4s + 5l= 1115

3s + 2l= 530

2. Number the equations:

4s + 5l= 1115 (1)

3s + 2l= 530 (2)

3. Multiply both equations to get the same number of ls (for different questions the letters might be different):

(1) x 2:

8s + 10l= 2230 (3)

(2) x 5:

15s + 10l= 2650 (4)

4. Subtract one from the other to get rid of the ls:

(4) - (3)

  8s + 10l= 2230

- 15s + 10l= 2650

   7s        =420

5. Solve for s:

s= 420/7= 60

6. Substitute the s value into one of the original equations to find l:

4 x 60 + 5l= 1115

240 + 5l= 1115

5l= 1115 - 240

5l= 875

l= 875/5= 175

In math what number acts like a switch

Answers

What this question make no sense

a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base

Answers

1 What is one into one? 1

y=2/5xt 10 the rate of change and y intercept

Answers

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10


Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.

Answers

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.  

If one line is slightly slanted, and the other line is completely straight,  these lines are not parallel, as they will meet at some point.

Hope this helped :)

Graph f(x) =2/3x-3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(x)=2/3.3=1/6=0,2

f(x)=0,2

one more than a number

Answers

Answer:

x+1

Step-by-step explanation:

Need to evaluate 256 and fraction 1/4

Answers

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

Which of the following examples has a unit rate of 12 yards per second? Select all that apply.

A) 48 yards in 8 seconds
B) 36 yards in 3 seconds
C) 144 yards in 12 seconds
D) 36 yards in 6 seconds
E) 60 yards in 5 seconds

Answers

B C and E have a unit rate of 12 yards or second

3x= 5 + 2(3 + 4x)
How to solve this?

Answers

Answer:

Step-by-step explanation:

Simplifying

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

3x = 5 + (3 * 2 + 4x * 2)

3x = 5 + (6 + 8x)

Combine like terms: 5 + 6 = 11

3x = 11 + 8x

Solving

3x = 11 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x

-5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0

-5x = 11 + 0

-5x = 11

Divide each side by '-5'.

x = -2.2

Simplifying

x = -2.2

Answer:

x = -11/5

Step-by-step explanation:

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

~Distribute left side

3x = 5 + 6 + 8x

~Combine like terms on the left side

3x = 11 + 8x

~Subtract 8x to both sides

-5x = 11

~Divide -5 to both sides

x = -11/5

Best of Luck!

What is the slope of this graph

Answers

Answer:

-7/8

Step-by-step explanation:   If you use RISE/RUN, then you will see that they RISE is 7 and the RUN is 8 so therefroe,you would get 7/8. The graph is pointing down so, it is negative. Overall, your answer should be -7/8.      

Estimate . Then find sum 25,211 plus 9,517

Answers

Answer: 34,728

Step-by-step explanation:

All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!

An airplane flies with a constant speed of 660 miles per hour. How long will it take to travel a distance of 2475 miles?

Answers

9514 1404 393

Answer:

  3.75 hours

Step-by-step explanation:

Travel time can be found using the relation ...

  time = distance/speed

  time = (2475 mi)/(660 mi/h) = 3.75 h

It will take 3 3/4 hours to travel that distance.

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

788

Step-by-step explanation:

7/10;1/3;5/6 ayuda es de matemáticas

Answers

Answer:

0.7 1/3 0.8333 repeating yo no hablo espanol

Step-by-step explanation:

7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating

Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow

Answers

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.

the width of a rectangle card is 2cm less than the length and the area is 35cm²​

Answers

Given :

The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]

To Find :

We have to find length and breadth of rectangle.

Solution :

Let length of the rectangle be x cm.

Given that, width is 2cm less than the length.

∴ Width = (x - 2) cm

➤ Area of rectangle :

Area = Length × Width

⭆ Area of rectangle = 35

⭆ length × width = 35

⭆ x × (x - 2) = 35

⭆ x² - 2x - 35 = 0

⭆ x² - 7x + 5x - 35 = 0

⭆ x(x - 7) + 5(x - 7) = 0

x = 7 or x = -5

We know that, length can't be negative.

∴ Length of rectangle = 7cm

Width = x - 2 = 7 - 2

∴ Width of rectangle = 5cm

Hope It Helps!

Combine Like Terms. 2 x 2 − x 2 + 3 x 2 2x 2 −x 2 +3x 2

Answers

Answer:

The answer is 4x(exponent of 2)

Step-by-step explanation:

Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

Marco spent $85.43 on a new pair of
shoes, $21 on a t-shirt, and $7.84 on a
pair of socks. If he gave the sales clerk
$120, how much change should he
receive?

Answers

Answer:

5.73

Step-by-step explanation:

Answer:

He should have $5.73 as change

Step-by-step explanation:

First add 85.43 with 21 and 7.84 and then do 120 - 114.27.

If jimmy has 3 billion dollars and subtracts a dollar how much does he have

Answers

Answer:

2,999,999

Step-by-step explanation:

2,999,999

Step-by-step explanation:

dont need a explanation its obvious

4617 divided by 23 as a mixed number

Answers

Answer: 200 17/23


Explanation: I hope this helps!!!!

Answer:

200 17/23

Step-by-step explanation:

Mathxway.....

What does "K" stand for for proportinial relationships

Answers

Answer:

y/x = k

Step-by-step explanation:

K is the constant of proportionality.

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