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Sav [38]
3 years ago
15

The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, wha

t percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

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On Friday, 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts. What fraction of the students wore ei
velikii [3]
Since 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts, you need to find the Total of 3/5 and 1/4.
First, step find a common denominator for both fractions
EXAMPLE: 3/5+1/4=Total 3/5 becomes 12/20 and 1/4 becomes 5/20.
Second, notice that both fractions now have the same denominator, now you can find the sum of both fractions which is 17/20
Finally, you need to check if the fraction can be SIMPLIFIED if not then the fraction is already im simplest form.
THE ANSWER: 17/20 of students wore either a blue or white shirt on Friday

6 0
3 years ago
Find the GCF 0f 12 and 18
melisa1 [442]

Answer:

  6

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

  18 ÷ 12 = 1 r 6

  12 ÷ 6 = 2 r 0 . . . . the GCF is 6

__

You can also factor the numbers and see what the common factors are.

  18 = 2·3·3

  12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

8 0
2 years ago
Y=f(x)=2x find f(x) when x=2
Rainbow [258]

Y=f(x)=2x find f(x) when x=2

Plug in

f(2)=2(2)  =4

Answer

4

3 0
3 years ago
Read 2 more answers
Which of the following demonstrates the Commutative Property of addition?
Crazy boy [7]

Answer:

To my calculations, I think its the first one, 4+2=2+4

I hope this helps! ^^

Apologizes if you get it wrong-

Step-by-step explanation:

5 0
3 years ago
Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
postnew [5]

Answer:

You answer would be $7.54

Step-by-step explanation:

You need to subtract 32.50 from 524.96. That would be 492.46. Then subtract 492.46 from 500. Hope that helps!!

4 0
2 years ago
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