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dem82 [27]
3 years ago
15

At the local college, a study found that students earned an average of 14.8 credit hours per semester. A sample of 94 students w

as taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college
Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of the sample:

14.8 credit hours per semester.

So

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

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Solve 10 over 8=n over 10
Vikki [24]
10/8 = n/10

First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.

Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.

10 \div 2 = 5 \\ 8 \div 2 = 4

We can now rewrite our fraction in the simplified form which is 5/4.

Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
\frac{5}{4} \times 10 = n

Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
\frac{50}{4} = n

Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4). 

Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4

Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.

Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.

50 \div 2 = 25 \\ 4 \div 2 = 2

We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.

Answer in fraction form: \fbox {n = 25/2}
Answer in decimal form: \fbox {x = 12.5}
6 0
3 years ago
Let S = {A, B, C, D} be some set of four elements of a vector space. Suppose that D = 2A + B + 3C and C = A − B. Is {A, B, D} li
Olin [163]

Answer:

As explained

Step-by-step explanation:

given that D = 2A + B + 3C and S = {A, B, C, D}, C = A − B

for {A, B, D}  to be linearly dependent implies that A B and D will have values that not dependent on the sample space C.

if C = A -B is substituted in the original equation, the generated equation, 5A -2B will have values each as against C which is linearly independent.

Also, D will have values that are linearly dependent.

4 0
3 years ago
An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles
luda_lava [24]

Answer:

10 gallons

Step-by-step explanation:

84 ÷ 6.5 =12.9(The unit rate.)

Seeing as one gallon can get you 12.9 miles;

126÷12.9=9.7

So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.

4 0
3 years ago
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Jason and Karina have matching gardens Jason plants 2/3 of his garden with roses Karina's garden is divided into ninths how much
olganol [36]

Answer:

6/9

Step-by-step explanation:

5 0
3 years ago
Giving Brainliest If You answer this correct
Lubov Fominskaja [6]

Answer:

magnitude is always postive

so, it will be +2.5 , so C

8 0
3 years ago
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