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Law Incorporation [45]
3 years ago
15

Figure MATH is a trapezoid with bases MA and TH. The measure of

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer: parallelogram

Step-by-step explanation:

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
maks197457 [2]
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
5 0
2 years ago
The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi
Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0
3 years ago
Find the value of each variable and the measure of each angle.
ANTONII [103]

Answer:

x = 14

Step-by-step explanation:

The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.

x+12 = 3x-16

On both sides, subtract 3x and subtract 12 to get this.

-2x = -28

Divide by -2.

x = 14

5 0
3 years ago
Read 2 more answers
How do you write 0.3 in word form
Marizza181 [45]
Its three tenths my guy
8 0
3 years ago
Read 2 more answers
There were 512 cups of water in a cooler before a soccer game. After the soccer game there were 384 cups of water in the cooler.
shusha [124]

Answer:

C

Step-by-step explanation:

you need to find how many cups of water were used in the game:

512-384=128

and then you can begin to calculate the number after that:

128/16=8(gallons)

hope it'll help! have a good day!

5 0
3 years ago
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