You spin the spinner twice,

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe

Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card. X has the binomial distribution with n = 100 trials and success probability p = 0.2

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

for values of x = 0, 1, 2, ..., n

P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20

- The variance of the binomial distribution is n * p * (1 - p) = 16

7 0

3 years ago

The of -6 is 6, because it is 6 units from zero on

Ilya [14]

Answer: The absolute value of -6 is 6 because it is 6 units away from zero on the number line

In terms symbols, we use vertical bars like this

|-6| = 6

to represent absolute value. Absolute value is distance from zero on a number line. Negative distance is not possible.

8 0

1 year ago

Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen

OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

V = integral(A(x)).dx

V = integral(2*x).dx

V = x^2

- Evaluate limits 0 < x < 4:

V= 16 - 0 = 16 unit^3

3 0

2 years ago

Help with math earn 10 points

Luda [366]

Answer:

The answer is 15 Shirts

Step-by-step explanation:

We want to know what x is going to equal that makes the equation the same.

First, I make the euations equal to each other by substituting the y -->

7x + 50 = 10x + 5

Then, I combine my similar terms --> 45 = 3x

After that, I divide by 3 to get x on its own --> $\frac{45}{3} =\frac{3x}{3}$ --> 15 = x

This means that after 15 Shirts are sold, the costs for both companies are the same.

6 0

2 years ago

Read 2 more answers

The cost of a service or item is a(n): 1. Expense 2. Income 3. Coupon 4. Budget

miv72 [106K]

The cost of a service or item is an expense

5 0

2 years ago