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oee [108]
3 years ago
10

Find the GCF of each pair of monomials. 24, 48m 32a, 48b 36k, 144km

Mathematics
1 answer:
hjlf3 years ago
7 0
The first one is 24

the second one is 16

third is 36
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Using the triangle below, answer the following questions.
fomenos

Step-by-step explanation:

<u>Answer(1):</u>

Law of Cosines.


<u>Answer(2):</u>

since side "c" is missing so we will write formula used for side "c"

c^2=a^2+b^2-2ab\cdot\cos\left(C\right)


<u>Answer(3):</u>

First lets write both sine and cosine formulas:

Check the attached picture for the list of formulas:

From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.

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4 0
3 years ago
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

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)

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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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2 years ago
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
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3(2 + y) <== ur expression
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3 years ago
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What is 20% of 5000​
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Answer:

1000

Step-by-step explanation:

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3 years ago
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Cora uses a ratio of 18 cherries to 3 peaches when she makes a pie filling. Lena uses an equivalent ratio to Cora. If Lena uses
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Lena would have to use 54 cherries
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