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prisoha [69]
2 years ago
12

What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a

previous sample had s=20.
Round your answer up to the nearest integer. sample size = _______.
Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

43

Step-by-step explanation:

The formula for Margin of Error =

Margin of Error = z × standard deviation/√n

Margin of Error= ± 6

z = z score of 95% Confidence Interval is 1.96

s = 20

n = sample size

±6 = 1.96 × 20/√n

Cross Multiply

±6 × √n = 1.96 × 20

±6 × √n = 39.2

Divide both sides by ±7

√n = 39.2/±6

√n = 6.5333333333

Square both sides

n = 6.5333333333²

n= 42.684444444

Rounding up to the nearest integer = 43

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If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor
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Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

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Given:
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Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

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If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

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