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2 years ago

The volume of a sphere is 3,000 m^3. What is the surface area of the sphere to the nearest square meter?

Mathematics

1 answer:

vovangra [49]2 years ago

3 0

Answer:

Step-by-step explanation:

V=4 /3πr3

3000=1 1/3*3.14*r*r*r

3000=4.18666667*r*r*r

716.560509= $r^{3}$

Cube root the number

8.94851471456=r

TSA=4 $\pi$ $r^{2}$

TSA=4*3.14*8.94851471456*8.94851471456

TSA=1006.26

Since we used different numbers for pi and I rounded our answer will be different but the answer is C

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A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

3 years ago

I Need Help Please And This Is Due In 1 Hour

alex41 [277]

So the first one is 1 square meter of ceiling, and it says 1 square meter of cieling is 10.75. So the first one is just that, 10.75

The second one says 10 square meters, so just multiply 10.75, by 10.

In which case you get 107.5. So that's the answer.

Third one, it gives you how many ceiling tiles you have. So you divide the 100 tiles by 10.75, which gives you 9.30232558, which becomes 9.3

I'm sure you can figure out the last one.

7 0

3 years ago

A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.

makvit [3.9K]

Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car and the observer.

(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.

8 0

2 years ago

Let a and b be rationl numbers?

TEA [102]

Sometimes

Always

Sometimes

hope this helps

5 0

2 years ago

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PLEASE ANSWER NOW

balu736 [363]

Answer:

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6 0

2 years ago