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Vika [28.1K]
4 years ago
12

How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?

Mathematics
1 answer:
Gnoma [55]4 years ago
8 0
2.5 * 2.5 * 4 cubic yards.. = 25 cubic yards.. 
.
1 cubic yard = 764.555 liters
.
25 cubic yards = 19113.9 liters
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A system of equations is shown.<br><br> 0.6d+0.05e=-4.5<br> -0.12d+0.3e=2.76 <br><br> d=<br> e=
Drupady [299]
I would multiply to get rid of the decimals and work with whole numbers.
Since we have numbers that are "hundredths", we would need to multiply every number by 100.
60d + 5e = -450
-12d + 30e = 276 Now that the decimals are gone, if we multiply the second equation by 5 the "d's" will cancel.
60d + 5e = -450
-60d + 150e = 1380
155e = 930
e = 6
Now plug 6 back in for e and solve for d.
60d + 5(6) = -450
60d + 30 = -450
60d = -480
d = -8
(-8, 6)
If you'd rather work it with decimals just let me know.
4 0
3 years ago
Given that z is a standard normal random variable, find z for each situation. The area to the right of z is .1314. (Round to two
Mumz [18]

Answer:

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

6 0
4 years ago
Given cosθ=1/3, find sin(90-θ)
natta225 [31]
Cos θ=1/3
cos θ=sen (90-θ)
therfore:
sen (90-θ)=1/3

To chek
θ=arc cos 1/3=70.53º

sin (90-θ)=sin (90º-70.53º)=sin 19.47≈0.3333≈1/3
7 0
3 years ago
Round off 786 to the nearest 1000​
Zarrin [17]

Answer:

Round off 786 to the nearest 1000

Your answer would be 790.

Step-by-step explanation:

Have a great day.

7 0
3 years ago
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Dmitriy789 [7]

\text{Hello! :)}

\large\boxed{(x - 8)(x^{2}  + 7)}

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4 0
3 years ago
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