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2 years ago

12

Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which

of the following best explains the amount of cereal left in Rickey's bowl?

1 answer:

NeX [460]2 years ago

5 0

Answer:

5/8 cup left

Step-by-step explanation:

7/8 - 1/4

1/4=2/8

7/8-2/8

5/8

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A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

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

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0

3 years ago

8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 4

Kaylis [27]

We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

$AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720$

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

$\text{tax rate}=\frac{39.50}{1000}=0.0395$

We then can multiply this rate by the assessed value to calculate the total property tax:

$\text{tax}=0.0395\cdot37720=1489.94$

NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

3 0

1 year ago

Solve the following equation : 6x =12

densk [106]

X=2 here very simple

8 0

3 years ago

Someone help. (Find the area of a rectangle with a lenght of 5a^2 b^4 and a width of (3ab^3)^2

Dmitry_Shevchenko [17]

Answer:

All you do is just multiply them.

Step-by-step explanation:

5a^2 b^4(3ab^3)^2=

45(a^(4))(b^(10))

3 0

2 years ago

What is 497÷2 (Use long division on a piece of paper) Explain how you figured this out clearly so I can play along because I won

erma4kov [3.2K]

Dividing 2 into 4 you would get 2 and dividing it into 9 you would get 4 since you can't divide it into 9 so when you subtract that (9-8) you would get 1 you place a decimal and bring down a zero to get 10 then you would get 5 the answer would be 248.5

8 0

3 years ago