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vagabundo [1.1K]
3 years ago
9

Unit Test

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

The density approaches infinity.

Step-by-step explanation:

dont need explanation

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Ethan has a box of assorted tea bags. There are seven green tea bags, six peppermint tea bags, five lemon tea bags, and six plan
Likurg_2 [28]
<span>B. Randomly select and replace a tea bag 80 times. Then, observe how close to 20 times a peppermint tea bag is drawn. </span>
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3 years ago
Simplify this expression: 7x -3x +4
Pachacha [2.7K]

Answer:

4x+4

Step-by-step explanation:

7x -3x +4

Combine like terms

7x-3x = 4x

Substitute back into the expression

4x+4

5 0
3 years ago
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Line DA is tangent to circle B. What is the measure of angle ACB?
alexdok [17]

A tangent line creates a 90 degree angle with a radius line that touches the tangent Line.

Line BC is a radius that touches the tangent line at point C

The angle created is 90 degrees.

The answer is C. 90 degrees.

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3 years ago
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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
3 years ago
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Alexus [3.1K]

Answer:

A

Step-by-step explanation:

What divided by 42 equals 14? In other words, you have an unknown number (X), and then if you divide that X by 42 you get 14. Then what is that X? The equation to calculate what divided by 42 equals 14 is as follows: X/42 = 14 Where X is the answer. When we solve the equation by multiplying each side by 42, you get get:

X = 588

3 0
2 years ago
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