Use the probability distribution table to answer the question.

Can anyone help me with these this problem. Show your work

Finger [1]

the answer to your question is 13 mm

7 0

3 years ago

Read 2 more answers

Find the area and perimeter. Stuck on this one need help

masya89 [10]

9514 1404 393

Answer:

area: 114 square units
perimeter: 44 units

Step-by-step explanation:

The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...

A = (1/2)(b1 +b2)h

A = (1/2)(12 +7)(12) = 114 . . . square units area

__

The length of side AB can be found using the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13

The sum of the side lengths is then ...

13 +7 +12 +12 = 44 . . . units perimeter

8 0

3 years ago

An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations

Hoochie [10]

Answer:

a) $E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

b) $E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Solution to the problem

Part a

We have the following distribution function:

Y 0 1 2 3

P(Y) 0.45 0.2 0.3 0.05

And we can calculate the expected value with the following formula:

$E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

Part b

For this case the new expected value would be given by:

$E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)$

And replacing we got

$E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

5 0

3 years ago

A field is a rectangle with a perimeter of 1260 feet. The length is 100 feet more than width. Find the width and length of the r

lyudmila [28]

To solve this problem you must apply the proccedure shown below:

1. The formula for calculate the perimeter of a rectangle is:

$P=2L+2W$

Where $L$ is the length and $W$ is the width.

2. The length is $100ft$ more than the width, therefore:

$L=W+100$

3. Substitute values into the formula for calculate the perimeter and solve for the width:

$1260=2(W+100)+2W\\ W=265ft$

3. Then, the length is:

$L=265ft+100ft\\ L=365ft$

The answer is: The length is $365ft$ and the width is $265ft$

5 0

3 years ago

This is factoring trinomials,help plz!

MaRussiya [10]

10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)

Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
_____________________________________________

13.
Factor the following:
16 x^2 - 24 x + 8

Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)

Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)

Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)

8 0

3 years ago