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Elan Coil [88]
3 years ago
12

A = 1/2bh, where A is the surface area and b is the base, and H is the height.

Mathematics
1 answer:
elena55 [62]3 years ago
4 0
When height turns to 3 times height or 3h

we can replace h with 3h and see what happens

A=1/2b(3h)
A=3/2bh
A=3(1/2bh)
well, the area is trippled
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How many kilometers?
Anettt [7]

Answer:

7.12 kilometers

Step-by-step explanation:

Add the amounts of kilometers to find the total :

3.8 kilometers + 3.32 kilometers = 7.12 kilometers

8 0
3 years ago
A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

Mathematically,

Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

7 0
3 years ago
Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their a
ale4655 [162]
K\ \rightarrow\ the\ Karen's\ age\\M\ \rightarrow\ the\ Michelles\ age \\D\ \rightarrow\ the\ David's\ age\\\\K=M+6\\M=D-2\ \ \ \Rightarrow\ \ \ D=M+2\\K+M+D=62\\\\(M+6)+M+(M+2)=62\\3M+8=62\\3M=54\ /:3\\M=18\ \ \ \Rightarrow\ \ \ K=18+6=24\ \ \ and\ \ \ D=18+2=20\\\\Ans.\ Michelle\ is\ 18,\ David\ is\ 20,\ Karen\ is\ 24.
6 0
3 years ago
The cities of fayetteville, raleigh and durham form a triangle. they are building a new
Sati [7]

Answer:

it should be built at the centre

6 0
2 years ago
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week
Vilka [71]
The answer is 128 i hope that helps
8 0
3 years ago
Read 2 more answers
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