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rodikova [14]
3 years ago
14

An election ballot asks voters to select 6 city commissioners from a group of 15 candidates. In how many ways can this be​ done

Mathematics
1 answer:
poizon [28]3 years ago
4 0
This is a combination since the order doesn't matter
C(15, 6) = (15 * 14 * 13 * 12 * 11 * 10)/(6 * 5 * 4 * 3 * 2 * 1)
C(15, 6) = 3603600/720
C(15, 6) = 5005 different combinations of votes
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Weinstein, McDermott, and Roediger report that students who were givne questions to be answered while studying new material had
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<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By considering the given information , we have

Null hypothesis : H_0: \mu=73.4

Alternative hypothesis :  H_a: \mu>73.4

Since alternative hypothesis is right-tailed , so the test is a right-tailed test.

Given : Sample size : n=16 , which is a small sample , so we use t-test.

Sample mean: \overline{x}=78.3  ;

Standard deviation: s=8.4

Test statistic for population mean:

t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e. t=\dfrac{78.3-73.4}{\dfrac{8.4}{\sqrt{16}}}\approx2.333

Using the standard normal distribution table of t , we have

Critical value for \alpha=0.01 : t_{(n-1,\alpha)}=t_{(15,0.01)}=2.602

Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.

3 0
3 years ago
You are going to decorate one wall of your bedroom by putting a border along the top. The wall is a square wall with an area of
e-lub [12.9K]

Answer:

16 ft

Step-by-step explanation:

Each edge of wall = √256 ft = 16 ft

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In eight months, 55.6 gallons were used. Find the unit rate.
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Answer:

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Read 2 more answers
Find the sum of the interior angle measures of the green polygon,
Radda [10]

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

Sum\ of\ interior\ angles = (n-2)*180

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

Sum = (7-2)*180 = 5*180 = 900

Hence,

The sum of interior angles of given polygon is 900°

7 0
3 years ago
Which graph most likely shows the experimental probability histogram of X based on 100 data points?
Archy [21]

Answer:

  see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...

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We think the appropriate choice may be C, but we cannot tell for sure.

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