Movie tickets are $9.00 for adults and $5.50 for children. One evening, the theater sold 36

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

8 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST ANSWER IF CORRECT

Doss [256]

Y = 4x
hope that helps
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5 0

4 years ago

Read 2 more answers

HELP QUESTION NUMBER FOUR

enyata [817]

Answer:

x = -1 and y = -1.

Step-by-step explanation:

The given system of equations are :

y = 4x + 3 ....(1)

y = -x - 2 ....(2)

From equation (1) and (2) :

4x + 3 = -x - 2

Taking like terms together,

4x + x = -3 -2

5x = -5

x = -1

Put the value of x in equation (1)

y = 4(-1) + 3

= -1

The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.

5 0

3 years ago

You have 25% of the tickets required for a souvenir. What fraction of the required tickets do you have?

lidiya [134]

25% is 1/4

45x1.07 is 48.15
(Convert percent to decimal and add one bc it’s increasing each month. Multiply it by the original cost to get the new cost)

7 0

3 years ago

Read 2 more answers

Find the distance from G to S.

OLEGan [10]

The distance formula is the square root of (x1-x2)^2+ (y1-y2)^2

So it would be square root [ (-2-3)^2 + (6-(-2))^2]
So it would be square root(25+64)
Square root(89)= 9.433

4 0

3 years ago