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A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?

tekilochka [14]

A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.

7 0

3 years ago

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Circle the following 2 terms that correspond with the domain of a function:

Nitella [24]

Answer:

x-values

independent variable

Step-by-step explanation:

x (the independent variable) is the domain

y (the dependent variable) is the range

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3 years ago

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

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

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507$

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

7 0

3 years ago

Round 742396 to

exis [7]

When we round 742396 to four significant digits, then we get the answer of 742400

What we do is circle the first four digits on the left which are the 7,4,2, and 3. That last 3 will bump up to a 4 because we round up to the nearest hundred (due to the next digit being a 9, which is greater than 5).

Put another way, 742396 is closer to 742400 than it is to 742300. The zeros in 742400 are not significant.

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When we round 742396 to two significant digits, then we get the answer 740000

This time, we only keep the 7 and the 4 as our two important digits. Everything else becomes a 0 which isn't significant. No rounding happens since the 2 after the 4 isn't larger than five. I.e. the number 742396 is closer to 740000 than it is to 750000

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Rounding 0.07284 to three significant digits gets us to the answer 0.0728

We drop the 4 at the end because the 7,2, and 8 take up the three digits we want to keep. The two zeros are not significant.

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Rounding 0.07284 to two significant digits gets us the answer 0.073

We keep the 7 and 2 as our two important digits, but bump that 2 up to a 3 because the next digit over is larger than five.

7 0

2 years ago

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Solve 4h = 92 for h.<br><br> h = ___

Alex Ar [27]

Answer:

H= 23

Step-by-step explanation:

92 divided by 4 will give you 23

8 0

2 years ago

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