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gladu [14]
3 years ago
7

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

10 hours. how long will it take to fill the vat if both pipes are left open?
Mathematics
1 answer:
raketka [301]3 years ago
6 0
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers. 

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added. 

Now just divide the size of the vat by that number, and you find your answer. 

70 gallons / 3 gallons per hour = 23 1/3 hours. 
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A bag contains white matarles and red marables,126 in total.The number of whit marables is 6 more than 5 than 5 times the number
denis-greek [22]

Answer:106

Step-by-step explanation:

Let number of white marbles be w

Let number of red marbles be r

w+r = 126---------1

w = 6 +5r-----------2

Put eqn 2 in eqn 1

6+ 5r + r = 126

6 + 6r = 126

6r = 120

r = 20

w = 6 +5r =6+100

= 106

3 0
3 years ago
Find the volume of each sphere. Round to the nearest tenth.​
bazaltina [42]

Answer:

267946.7

Step-by-step explanation:

here's the formula

V=4 /3πr3

3 0
3 years ago
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Find the length of x, round to the nearest tenth.
goblinko [34]
Answer: x = 10.5

======================================

Work Shown:

BC*BD = AB*AB
2*(2+x) = 5*5
4+2x = 25
2x = 25-4
2x = 21
x = 21/2
x = 10.5

4 0
3 years ago
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat’s weight is
prohojiy [21]

Answer:

Step-by-step explanation:

Hello!

You have the information of the net gain of weight of rats of three independent groups that were fed with three different formulas (A, B and C)

The objective is to determine if the population variance of the weight gain of the rats fed with formula C (feed by Javier) is the same as the population variance of the weight gain of the rats fed with formula A (feed by Linda)

Then you have two variables of interest:

X₁: Net weight gain of the rats fed with formula A (gr)

X₂: Net weight gain of the rats fed with formula C (gr)

Assuming that both variables have a normal distribution, the statistical test for this analysis is a variance ratio.

The hypotheses are:

H₀: σ₁²=σ₂²

H₁: σ₁²≠σ₂²

α: 0.10

F= \frac{S_1^2}{S_2^2} * \frac{Sigma_1^2}{Sigma_2^2}~~F_{n_1-1;n_2-1}

The sample variances are:

S₁²= 10.09gr

S₂²= 27.16

F_{H_0}= \frac{10.09}{27.16} *1= 0.37

  • <em>Remember, another way of expressing the statistical hypotheses for this test is H₀: σ₁²/σ₂²= 1 vs. H₁: σ₁²/σ₂²≠ 1, the theoretical value for the ration of the population variances is one (considering that the null hypothesis is true).</em>

The p-value of the test is 0.3605

Using the p.value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value is greater than α, the decision is to not reject the null hypothesis.

Using a level of 10%, there is no significant evidence to reject the null hypothesis. Then you can conclude that the population variance of the net weight gain of the rats fed by Javier is statistically the same as the population net weight gain of the rats fed by Linda.

I hope this helps!

7 0
3 years ago
ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE ANSWER TO QUESTION 2
polet [3.4K]

Answer:

Step-by-step explanation:

(-6,11)

since 7 to -1 is 9 steps backwards, then subtract 9 from 3=-6

now since -4 to 3 is 8 steps forward then add 8 to 3=11

8 0
3 years ago
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