On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the ______

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

The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if

pentagon [3]

The correct option is: B. length: 14 cm, width: 6.4 cm

<em><u>Explanation</u></em>

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as: 1 cm = 25 miles

Suppose, the length and width of the lake on the map are $x$ cm and $y$ cm respectively.

First, the equation according to the <u>ratio of scaled length to the actual length</u> will be....

$\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14$

Now, the equation according to the <u>ratio of scaled width to the actual width</u> will be....

$\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4$

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

7 0

3 years ago

A pet supply store lets you donate your change to the local animal shelter. Denise buys a bag of dog food for $15.74 and a squea

Marta_Voda [28]

Considering her change, it is found that she will donate $0.28 to the animal shelter.

<h3>How to find the amount of change in a purchase?</h3>

The amount of change is given by the subtraction of the total paid and the price of the products.

In this problem, the price of the products bought is given by:

$15.74 + $3.98 = $19.72

She paid $20, hence the change is given by:

$20 - $19.72 = $0.28.

More can be learned about the amount of change in a purchase at brainly.com/question/10866253

#SPJ1

6 0

2 years ago

Please help me because it’s about to be 12am and I’m supposed to be up at 5am and I still need to finish this math homework

Sphinxa [80]

D would be the correct answer

4 0

4 years ago

If A = 3x2 + 3x - 6 and B = -2x2 - 6x + 7, thenA - B equals1) -5r- 11x + 132) 5r2 + 11x – 133) -5x2-x+14) 5x2 -*+1

Grace [21]

$3x^2-(-2x^2)+5x-(-6x)-6-(7)=5x^2+11x\text{ - 13}$

Therefore, the correct answer is:

$2)5x^2+11x\text{ - 13}$

5 0

1 year ago

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis

On a Cartesian plane, the horizontal axis is called the _ -axis and the vertical axis is called the _-axis