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Aleksandr [31]
3 years ago
7

A number between 10 and 20 is both a foctor of 60 anda multiple of 6.What is the number?​

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

12

Step-by-step explanation:

List out factors of 60 =

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.

List out multiples of 6 from 10 to 20.

12 and 18.

Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.

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A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
True or false? Rates can be adjusted for different time periods. If you know how many parts can be made in an hour, then you can
julsineya [31]

Answer:

  True

Step-by-step explanation:

The whole point of units conversion is to take a value expressed in one set of units (parts per hour) and translate it to a different set of units (parts per week). The rate does not have to involve time.

The statement is TRUE.

3 0
3 years ago
Find x. Round your answer to the nearest tenth of a degree.
solniwko [45]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
Using multiplication when multiplied by 9 will give the answer 2385
Evgen [1.6K]
265 is the number when multiplied by 9 will give you 2385.

This can be obtained by dividing 2385 by 9.
3 0
3 years ago
Read 2 more answers
A student is standing a distance of 4 m from the school bell. If the student moves to a distance 20 m away, what fraction of the
Neporo4naja [7]

Answer:

Fraction=1/5=0.2

Step-by-step explanation:

If the student is 4m away from the school bell and moves 20m away, it means that he is 5 times more distant from the school bell and therefore should listen 5 times less, that is, 1/5 of the original sound.

Note: this as long as the initial environment conditions of 4m are the same at 20m

6 0
3 years ago
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