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s2008m [1.1K]
2 years ago
11

Bernice received the following scores on five science tests: 96, 77, 86, 97, and 89.

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
6 0

Answer:

the mean and the median of the set of scores are the same.

Step-by-step explanation:

median = 89

mean = 96+77+86+97+89 = 445 / 5

= 89

mode = none

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What is the numerator of the fraction equivalent to 3\5 that has a denominator of 30
aliya0001 [1]
Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!
3 0
3 years ago
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

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3 years ago
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zavuch27 [327]
4 x 3 = 12
12 would be the answer
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A store manager paid $95 for an item and set the selling price at $116.85. What was the percent markup?
Neporo4naja [7]

We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.

We will use percent increase formula to solve our given problem.  

\text{Percent increase}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times 100\%

\text{Percent increase}=\frac{\$116.85-\$95}{\$95}\times 100\%

\text{Percent increase}=\frac{\$21.85}{\$95}\times 100\%

\text{Percent increase}=0.23\times 100\%

\text{Percent increase}=23\%

Therefore, the mark-up will be 23% and option 'b' is the correct choice.

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3 years ago
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viktelen [127]
A: From the graph, car B was traveling faster.

Because the line of car B is more steep than the line of car A.

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The lines cross at (2,80), this means that the two cars were traveling at the same distance (80 miles) at the same time (2 hours).

C:
Since the line passes through the points (0,0) and (2,80)

So the unit rate or slope is 40 mph.

The distance which car A traveled in the first four hours = 4x40= 160 mph
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