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Over [174]
3 years ago
7

Question 13. thank You so much

Mathematics
1 answer:
Cloud [144]3 years ago
4 0
First thing we need is the volume of the fish tank. We simply multiply the three dimensions to get

V = L*W*H
V = 2.5*1*1.5
V = 3.75

The fish tank can hold 3.75 cubic feet of water if its completely full

-------------------------

We are told that "one cubic foot of water weighs about 62.4 pounds". 

So we have this ratio
1 cubic foot of water: 62.4 pounds

Multiply both sides of that ratio by 3.75 which was the volume of the fishtank

1 cubic foot of water: 62.4 pounds
3.75*1 cubic foot of water: 3.75*62.4 pounds
3.75 cubic feet of water: 234 pounds

The fishtank can hold 234 pounds of water

note: this is assuming that the walls are strong enough to withstand the pressure/weight of water without cracking or breaking

Answer: 234 pounds

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The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
2 years ago
How do u find the area?
nydimaria [60]
Act like it's a rectangle. The height is 10 because 7+3=10 and the length it 27. Multiply them for the are and you get 270 in. Then multiply 6x7=42 because that's the are of the space that is missing from the imaginary rectangle. Multiply by 2 (84 in.) because there are 2 missing spaces and subtract from 270= 186 inches is your answer.
7 0
3 years ago
Read 2 more answers
What is the x intercept of the line y=5x+6
garri49 [273]
Check out Desmos.com graphing calculator if you need help with graphing
4 0
3 years ago
PLEASE HELP ME PLEASE !!!
Nimfa-mama [501]

Answer:

i need more information about the question... i suggest googleing it

Step-by-step explanation:

4 0
3 years ago
Solve the system by using the technique of ‘elimination’: -2x+5y=-42,7x+2y=30
Gekata [30.6K]

Solve the following system using elimination:

{5 y - 2 x = -42 | (equation 1)

7 x + 2 y = 30 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 2 y = 30 | (equation 1)

-(2 x) + 5 y = -42 | (equation 2)

Add 2/7 × (equation 1) to equation 2:

{7 x + 2 y = 30 | (equation 1)

0 x+(39 y)/7 = (-234)/7 | (equation 2)

Multiply equation 2 by 7/39:

{7 x + 2 y = 30 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{7 x+0 y = 42 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 6 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

Answer: {x = 6, y = -6

3 0
3 years ago
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