If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter. What is the volume of the tank? Assume that 3.14 is the value for pi.

Answers

Answer 1

Answer: h = 3 m, d = 6 m , so: r = 3 m;
The volume of the tank is:
V = r² π h = 3² · 3.14 · 3 = 9 · 3.14 · 3 = 27 · 3.14 = 84.78 m³

Answer 2

Answer:

Answer:

The volume of the tank is $84.78\ m^(3)$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^(2)h$

In this problem we have

$r=6/2=3\ m$ -----> the radius is half the diameter

$h=3\ m$

substitute

$V=(3.14)(3^(2))(3)=84.78\ m^(3)$

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In a sample of 50 households, the mean number of hours spent on social networking sites during the month of January was 45 hours. In a much larger study, the standard deviation was determined to be 8 hours. Assume the population standard deviation is the same. Which of the statement below best describes that there is a 95% confidence interval for the mean hours devoted to social networking in January? A. The 95% confidence interval ranges from 8 to 45 hours. B. The 95% confidence interval ranges from 40.13 to 45.78 hours. C. The 95% confidence interval ranges from 43.87 to 46.13 hours. D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Answers

Answer:

D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Step-by-step explanation:

Here,

n = sample size = 50,

μ = mean = 45,

σ = standard deviation = 8,

We know that, confidence interval will be,

$=\mu\ \pm\ z(\sigma )/(√(n))$

For a confidence interval of 95%, we use z = 1.96, putting the values

$=45\ \pm\ 1.96(8)/(√(50))$

$=42.78,47.22$

D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

To solve the interval, we used the upper and lower limit formulas wherein:
xbar = 45
z = 1.96
s = 8
n = 50

A number cube is rolled 24 times and lands on 2 four times and on 6 three time.Find the experimental probability of not landing on a 6

Answers

Probability is the ratio of the favorable event to the total number of events. The experimental probability of not landing on a 6 is 0.171.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.

The probability of getting 2 will be

$\rm P(2) = (1)/(6)$

The probability of getting 6 will be

$\rm P(6) = (1)/(6)$

The probability of not landing on a 6.

$\rm \bar{P}(6) = (5)/(6)$

The experimental probability of not landing on a 6.

$\rm P (not \ 6) = ^(24)C_5 *((1)/(6))^5 *((5)/(6))^(19)\n\nP (not \ 6) = 0.171$

The experimental probability of not landing on a 6 is 0.171.

More about the probability link is given below.

brainly.com/question/795909

A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?A.156 cubic feet
B.278 cubic feet
C.300 cubic feet
D.324 cubic feet

Answers

The best answer would be letter C. The volume or the amount of liquid that the pyramid can hold would be 300 cubic feet. I got this answer through solving for the volume of a pyramid with a rectangular base, which formula is '(lwh)/3'. So i multiplied everything given in the problem and divided it by 3.

Answer :

A. 156 cubic feet

B. 278 cubic feet

C. 300 cubic feet

D. 324 cubic feet

Explanation :

Volume of pyramid is $V = (1)/(3) * BaseArea*Height$

[ L = 10 , w = 6 , h = 15 ] Ft. each

Base Area $A_(b)$ = 10.6 x 6 = 60 Sq. Ft.

Volume Of Pyramid :

$V = (1)/(3) *60*15 = 300Cubic Ft.$

Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)

Answers

Answer: 1/24

Step-by-step explanation:

You multiply the fraction of the first probability by the fraction of the second probability.

The spinner has 4 colors, the odds of it landing on blue is 1/4

The cube has 6 numbers, the odds of it landing on 4 is 1/6

1/4 * 1/6 = 1/24

Simplify 81.56 + n - 2.55.

Answers

Answer:

$79.01 + n$

Step-by-step explanation:

we have

$81.56 + n - 2.55$

Group terms

$(81.56-2.55) + n$

remember that

$(81.56-2.55)=(81+0.56)-(2+0.55)$

$=(81-2)+(0.56-0.55)$

$=79+0.01$

$=79.01$

substitute in the expression

$79.01 + n$

81.56 - 2.55 + n

79.01 + n... is your answer cause you cannot simplify it further.

A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a success. What is the estimated probability of a success?

Answers

Answer:

40%

Step-by-step explanation:

a.p.e.x

2/4=1/2 because 3 and 4 are 2 of four numbers

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