Which comparison is not correct? A. -2 > -7 B. 1 -8 c. -3 > -8 D. 6

Factor completely. 18b−32 Enter your answer in the boxes. ___(___)

Kamila [148]

To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)

5 0

3 years ago

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at a movie theater, the adult ticket price is $8 and the child ticket price is $6. For a certain movie, 200 tickets were sold an

Pie

820 tickets were sold

3 0

3 years ago

A cement block is in the shape of a rectangular prism that measures 4.5 feet by 7.25 feet by 6.5 feet. The entire block must be

Simora [160]

Since A=l*w*h,

A=4.5*7.25*6.5
A=212.0625

A=212.0 feet squared is the answer.

8 0

3 years ago

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The phenomenon of bottle flipping has hit the nation. You design a machine that can randomly flip a bottle. You observe 2180 ran

krek1111 [17]

Answer:

The variable of interest is the proportion of flips that land the correct way when flipped randomly.

The necessary conditions $n\pi \geq 10$ and $n(1-\pi) \geq 10$ are present.

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Step-by-step explanation:

Variable of Interest:

Proportion of flips that land the correct way when flipped randomly.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Necessary conditions:

The necessary conditions are:

$n\pi \geq 10$

$n(1-\pi) \geq 10$

You observe 2180 random, independent flips, and 325 land the correct way.

This means that $n = 2180, \pi = \frac{325}{2180} = 0.149$

Necessary conditions

$n\pi = 2180*0.149 = 325 \geq 10$

$n(1-\pi) = 2180*0.851 = 1855 \geq 10$

The necessary conditions $n\pi \geq 10$ and $n(1-\pi) \geq 10$ are present.

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167$

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

8 0

3 years ago

An item that was selling for 72.00 is reduced to 60.00. What is the percent decrease in the price?

Morgarella [4.7K]

16 2/3%. 72 minus 60 is 12, then 12/72 is .16666667, then move the decimal place two spots to the right, getting 16.66666667%, remembering that .66 repeating is in fact better represented as 2/3, so 16 2/3%

6 0

3 years ago

Which comparison is not correct?A. -2 > -7B. 1 -8c. -3 > -8D. 6 > 5