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meriva
2 years ago
9

How do I solve for x?

Mathematics
1 answer:
Marina CMI [18]2 years ago
7 0
Multiply both sides by 2
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Noah borrowed $0.80 from his friend John five days last week to buy chips. how much does Noah owe John?
vekshin1

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$0.80

Step-by-step explanation:

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Which of the following numbers creates a Pythagorean Triple? (12,16, ___ ) ?​
tatyana61 [14]

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20

Step-by-step explanation:

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2 years ago
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

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 is:

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

For this problem, we have that:

We dont know the true proportion, so we use \pi = 0.5, which is when we are are going to need the largest sample size.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.04}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2

n = 600.25

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2

n = 2401

The minimum sample size is 2401.

4 0
3 years ago
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
sveticcg [70]

Answer:

The First Graph -2○ and 4○

Step-by-step explanation:

Because these numbers aren't included in the solution.

8 0
3 years ago
Please help me with this Math question...
kati45 [8]

Answer:

A) length = 9cm, width = 4 cm

Step-by-step explanation:

The key word "times" refers to multiplication, so if you're trying to find dimensions at 1/4 times its original size, you need to multiply the original dimensions by 1/4.

l = 36

new l = 36 (1/4)

          = 36/4

          = 9 cm

w = 16

new w = 16 (1/4)

            = 16/4

            = 4 cm

5 0
3 years ago
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