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motikmotik
3 years ago
9

the radius of circle P is 24 centimeters. The radius of circle Q is 8 centimeters. What statement correctly compares the area of

circle P with the area of circle Q?
Mathematics
1 answer:
lakkis [162]3 years ago
7 0
The radius of circle P is 24 centimeters meanwhile the radius of circle Q is 8 centimeters. Hope this helped
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64ft/sex lol per sex?
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3 years ago
27^-2/3<br><br> A. 9<br> B. 1/9<br> C. -1/9<br> D. -9
geniusboy [140]
<span>27^-2/3
= (3^3)^-2/3
= 3^-2
= 1/3^2
= 1/9

answer
</span><span>B. 1/9</span>
5 0
3 years ago
The expression (2x2)3 is equivalent to _____.<br><br>6x2<br><br>6x5<br><br>8x6
mamaluj [8]
6x2, because using pemdas, 2x2= 4 then 4x3=12. The answer must equal 12, and 6x2 does.
6 0
3 years ago
Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
Are these expressions equivalent 3(5b-2) and 8b-5
Pavel [41]
No, if you multiply the factors in 3(5b-2) the equivalent expression would be 15b-6
4 0
3 years ago
Read 2 more answers
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