Write 7.5% as a fraction in lowest terms

Explain how would you name a sorting rule for 1 square, 1 rectangle , and 1 triangle .

Tanzania [10]

Lines of symmetry if the triangle is isosceles.
4, 2, 1

7 0

3 years ago

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

Marco needs to buy some cat food. At the nearest store, 6 bags of cat food cost $28.50. How much would Marco spend on 5 bags o

olga55 [171]

Answer:

$23.75

Step-by-step explanation:

divide $28.50 by 6 to find the price for 1 bag which is $4.75 then multiply $4.75 by 5 and that equals $23.75

3 0

2 years ago

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a deli sells a sandwich spread for 6.40 per pound. how much do you have to pay for 24 ounces of the spread

rjkz [21]

In the given question the most important part is convert ounce to pound and then the problem becomes easy. We already know
1 ounce = 0.0625 pounds
Then
24 ounce = 0.0625 * 24 pounds
= 1.5 pounds
Now let us focus on the problem in hand and the information's that are already given in the question.
The cost per pound of the sandwich sold by Deli = 6.40
Then
The cost of 1.5 pound of sandwich sold by Deli = 6.40 * 1.5
= 9.60
So the cost of 24 ounces of spread is 9.60.

3 0

2 years ago

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Please help me find the length width and area

Lisa [10]

I would say that the length would be 2 inches, the width to be 6 feet and the area to be 144. I would say this because in order to find the area, you would need to convert 6 feet into inches. There are 12 inches in a foot. So it would be 72 inches. In order to find area you multiply the length by the width. So it would be 72 time 2, this is equal to 144. Hope this helps :)

4 0

2 years ago

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