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Gwar [14]
3 years ago
13

HELLPPPPP PLEASEEE HURRY FIND THE SURFACE AREA OF THE PYRAMID

Mathematics
2 answers:
mixas84 [53]3 years ago
4 0

Answer:

8?

Step-by-step explanation:

kondaur [170]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

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A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on
Digiron [165]

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

M = z\frac{\sigma}{\sqrt{n}}

In which z is related to the confidence level, \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will \sigma

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by 3^2 = 9. So

180*9 = 1620

They should interview 1620 adults now.

6 0
3 years ago
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the
Nitella [24]

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

8 0
3 years ago
The diameter of a quarter is 2.5 cm. What is it’s circumference?
anastassius [24]

Answer:

7.85 cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c=\pi d

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

c=\pi *2.5 cm

Now, find the circumference.

- In terms of pi:

c=\pi *2.5 cm

c= (2.5)\pi  cm

c= 2.5\pi  cm

-Using 3.14 as pi

c=\pi *2.5 cm

c=3.14 *2.5 cm

c=7.85 cm

-Using 3.14159... as pi

c=\pi *2.5 cm

c=7.85398163 cm

7 0
3 years ago
This season, the probability that the Yankees will win a game is 0.49 and the probability that the Yankees will score 5 or more
yanalaym [24]

Answer:

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that

So

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

4 0
3 years ago
At a ski resort, the cost of renting ski equipment for x days can be represented by the function
Andrews [41]

Answer:

  • C(h(x)=14x-7)

Step-by-step explanation:

h(x)=44x+8-(30x+15)

=44x+8-30x-15

=44x-30x+8-15

=14x-7

7 0
3 years ago
Read 2 more answers
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