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Marina CMI [18]
3 years ago
6

What is 18/12 in simplest form?

Mathematics
1 answer:
valina [46]3 years ago
7 0
18 / 12 = 3 / 2 (in simplest form).
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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
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Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

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The initial population of bacteria in a lab test is 400. The number of bacteria doubles every 30 minutes. Predict the bacteria p
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25,600 will be the bacteria population after doubling every 30 minutes for 3 hours.
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If h = 8 units and r = 2 units, then what is the approximate volume of the cone
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A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine co
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Answer: "reduced by a factor of One-third."

Step-by-step explanation:

Suppose that the original magazine has a length L and a width W.

If it is photocopied using a scale factor of K, then the measures of the photocopy will be:

length = K*L

Width = K*W

In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:

length = (1/3)*L = L/3

Width = (1/3)*W = W/3

For usual notation:

When k > 1, we have an enlargement by a factor k

when 0 < k < 1, we have a reduction by a factor k

in this case, k = 1/3, then:

We have a reduction by a factor of 1/3

The correct option is:

"reduced by a factor of One-third."

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Simplify Question 8 options: A) 8 B) 9 C) 6 D) 12
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Answer:

<em>Your</em><em> </em><em>question </em><em>is</em><em> </em><em>incomplete </em><em>.</em><em>.</em>

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