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kifflom [539]
2 years ago
8

A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%

Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

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3 years ago
Suppose two parallel lines are cut by a transversal. What angle relationships describe congruent angles in this context?
baherus [9]

Answer:

Corresponding angles

Step-by-step explanation:

In elementary geometry the word congruent is often used as follows.

Two line segments are congruent if they have the same length.

Two angles are congruent if they have the same measure.

Two circles are congruent if they have the same diameter.

The eight angles that are produced as a result of two parallel lines are cut by a transversal will together form four pairs of corresponding angles. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

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3 years ago
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Genrish500 [490]

Answer:

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Step-by-step explanation:

4 0
3 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
2 years ago
Two students taking a multiple choice exam with 20 questions and four choices for each question have the same incorrect answer o
MrRa [10]

Answer:

The Possible model is binomial distribution model.

Step-by-step explanation:

The argument that both students cheated in the exam can be proved by a hypothesis that both the students got the same answers incorrectly.

The same incorrect answers prove that both students have cheated on the test.

Therefore the sample of incorrect answers is, n = 8

Thus, the success probability, P = 0.25

Since the given condition has only two outcomes that are choosing the same answer or not choosing the same answer. Thus, this can be solved by the binomial distribution model.

So, binomial distribution with n = 8 and p = 0 .25.

3 0
3 years ago
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