Can someone help me on all of them I would appreciate it so much!

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

I need to solve this algebra expression

Art [367]

$5-7+2*10$
$5-7+20$
$-2+20=18$
The answer is :18

6 0

3 years ago

Read 2 more answers

The drama club is planning a field

Inessa [10]

Answer:

$\frac{2}{3}s+8=48$ .

Step-by-step explanation:

If we indicate the amount of students in the drama club as"s", we know that $\frac{2}{3}s$ is attending to the trip.
We also know that there are will be 8 teachers in the trip as well.
If the total amount of persons that will go on the trip reachs 48, which is the sum of 8 teachers and the $\frac{2}{3}s$ of the students: $\frac{2}{3}s+8=48$ .

Then, the equation that describes the situation is $\frac{2}{3}s+8=48$ . If we subtract 8 from both sides of the equation, and then we have $\frac{2}{3}s=40$ , which means that s=60.

6 0

4 years ago

Use distributive property to simplify 5 ( 6x - 2 )

uysha [10]

The answer would be 30x-10

6 0

3 years ago

Read 2 more answers

Simplify 12^4 times 30^8 times 125^2 divided by 128^4 times 625^3 timed 27^6

natta225 [31]

Answer:

25/2985984

Step-by-step explanation:

12^4*30^8*125^2/(128^4*625^3*27^6)

(2^2*3)^4*(2*3*5)^8*(5^3)^2/(2^7)^4*(5^4)^3*(3^3)^6)

(2^8*3^4*2^8*3^8*5^8*5^6)/(2^28*5^12*3^18)

2^(8+8-28)*3^(4+8-18)*5^(8+6-12)

2^-12*3^-6*5^2

25/(2^12*3^6)

25/2985984

7 0

3 years ago