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2 years ago

11

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a

nd 9. Which equations represent the situation?

1 answer:

rosijanka [135]2 years ago

4 0

Answer:

Step-by-step explanation:

It's 21 lol

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Convert 11pi/12 to degrees?

BabaBlast [244]

Pi is degree equals 180 Then the answer to your question is: 11x180/12=165 I hopened this will help

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2 years ago

The product of two rational numbers:

Alexus [3.1K]

Answer: So, multiplying two rationals is the same as multiplying two such fractions, will result in another fraction of this same form since integers are closed under multiplication. , multiplying two rational numbers produces gets another rational number.

Step-by-step explanation:

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2 years ago

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klio [65]

ANSWER:

For the first picture, it is the first answer. This is because of the Exterior Angle Theorem.

For the second picture, use the Exterior Angle Theorem again, but this time, solve for x.

$132 = x + (3x-24)\\132 = 4x - 24\\156=4x\\x=39$

The m∡B = 39°

3 0

2 years ago

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is <em><u>2400%</u></em> :)

5 0

3 years ago

Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants

musickatia [10]

Answer:

We need a sample size of at least 1161.

Step-by-step explanation:

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 $1 - \frac{\alpha}{2}$ .

The margin of error for the interval is:

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

For this problem, we have that:

$\pi = 0.22$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large a sample should she take?

We need a sample size of at least n.

n is found when $M = 0.02$

So

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

$0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}$

$\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}$

$n = 1160.88$

Rounding up

We need a sample size of at least 1161.

7 0

3 years ago