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Colt1911 [192]
3 years ago
13

Given

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:option 2

Step-by-step explanation:sets Band C contains 2,4,6 in common

Set A and the common set of B and C stated above contains 2 in common

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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
What is the y intercept of (-6, -5) when the slope is -2/3?
Alecsey [184]
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.

The y-intercept will be -9.

6 0
3 years ago
the nature park has a pride of 5 adult lions and 3 cubs. the adults eat 8 pounds of meat each day and the cubs eat 4 pounds. how
V125BC [204]

Answer:


Step-by-step explanation:

32,768 for the lions.


64 for the cubs.


Together:32,832


3 0
4 years ago
Plot -2 1/2 and 1 3/4 on a number line
Agata [3.3K]
There you go. Sorry its blurry

7 0
3 years ago
What is the length of side AB
denpristay [2]

Answer:

if two Angles have equal measure then the slide opposite to them equal in the length is 6 units

7 0
3 years ago
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