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3 years ago

80

Mathematics

2 answers:

vladimir1956 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

D is the answer

coldgirl [10]3 years ago

4 0

Answer:

The cricket make approximately 3 chirps in 15 seconds if the temperature is 80°F.

Step-by-step explanation:

We are given the following in the question:

$y = 15x + 37$

The above equation is used approximate the temperature y in degrees Fahrenheit based on the number of chirps x a cricket makes in 15 seconds.

The attached image shows the graph for the given equation.

Now, we have to find the number of chirps a cricket will make in 15 seconds if the temperature is 80°F.

Putting y = 80 in the given equation, we get:

$y = 15x + 37\\80 = 15x+37\\15x = 80-37\\15x = 43\\x = 2.8667 \approx 3$

Thus, the cricket make approximately 3 chirps in 15 seconds if the temperature is 80°F.

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We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

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 $1-\alpha$ , we have the confidence interval with a margin of error of:

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

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3 years ago

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Natalija [7]

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

$x =\sqrt{a^2+b^2}$

$x=\sqrt{4^2+2^2}$

$x=\sqrt{16+4}$

$x=\sqrt{20}$

$x=4.47$

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3 years ago

a keycode must contain 2 letters and 3 numbers. the letters may be any letter of the alphabet. the numbers should be any number

Rufina [12.5K]

THERE ARE AT LEAST TWO KEY CODES

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3 years ago

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Amanda [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Hope this helps

Step-by-step explanation:

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3 years ago

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