3 years ago

Problem 1:

1 answer:

4 0

Melanie pumps 2 in per hr....Lori pumps 4 in per hr
so Lori pumps water at a faster rate

Yolanda writes 1 per day...Zoe writes 2 per day
so Zoe has higher the rate of production

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An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the

inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = $\hat{p}=\dfrac{127}{1000}=0.127$

Now, the z-test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

So, $z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}$

$z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812$

Hence, the value of the z-test statistic = 0.6812 .

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4 years ago

F(x) = 17 - 2x<br> Find f(a + 7)

Fudgin [204]

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

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3 years ago

Which is the only center point that lies on the edge of a triangle?

Rus_ich [418]

The circumcenter is also center of the triangles circumcircle. i'm not 100% but if this is one of your answers then i hoped this helped!

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In the accompanying diagram, the legs of right triangle ABC are 5 and 12 and the hypotenuse is 13. What is the value of cos A? A

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$\cos A=\frac{5}{13}$

answer: C

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1 year ago

On a number line, what is the distance between -17 and 9?

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Answer:

IM struggling with the too D:

Step-by-step explanation:

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