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stellarik [79]
3 years ago
5

What’s 45 divided by 14.04

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

3.205

Step-by-step explanation:

convert the decimal number to a fraction

45 \div  \frac{351}{25}

To divide by fraction, multiply by the reciprocal of that fraction

45 \times  \frac{25}{351}

Reduce the numbers with the greatest common divisor 9

5 \times  \frac{25}{39}

Calculate the product

\frac{125}{39}

Now turn it to a decimal which will be

3.20513

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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
Len [333]

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

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vertex = (h, k )

6 0
2 years ago
What shows the greatest common factor of 18 and 24 with 18/24 in simplest form
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Divide them both by 6

So it should be : 3/4
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3 years ago
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