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marta [7]
2 years ago
10

A large container holds 5 gallons of water it’s begins leaking at a constant rate after 10 minutes the container has 3 gallons o

f water left after how many minutes for the container be empty
Mathematics
1 answer:
gogolik [260]2 years ago
6 0

Answer:

25minutes

Step-by-step explanation:

Just use this simple trick, first just categorize them

Gallons minutes

2 10

5 ?

Now u want to find the "?", the trick is this

X shape is multiply, horizontal is divide

So in this case, u want to find the "?"

Just take 5 x 10 =50

Then divide it by 2

U get 25minutes

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The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households
liq [111]

Answer:

Null hypothesis:\mu_{1}-\mu_{0}\leq 0

Alternative hypothesis:\mu_{1}-\mu_{2}>0

SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705

b) 2.70

t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850

b. 1.85

p_v =P(Z>1.85)=0.032

b. 0.03

a. We can reject H(0) in favor of H(a)

Step-by-step explanation:

Data given and notation

\bar X_{1}=164 represent the mean for the sample 1

\bar X_{2}=159 represent the mean for the sample 2

\sigma_{1}=12.5 represent the population standard deviation for the sample 1

s_{2}=9.25 represent the population standard deviation for the sample B2

n_{1}=35 sample size selected 1

n_{2}=30 sample size selected 2

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the expenditure of households in City 1 is more than that of households in City 2, the system of hypothesis would be:

Null hypothesis:\mu_{1}-\mu_{0}\leq 0

Alternative hypothesis:\mu_{1}-\mu_{2}>0

We know the population deviations, so for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{(\bar X_{1}-\bar X_{2})-0}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Standard error

The standard error on this case is given by:

SE=\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}

Replacing the values that we have we got:

SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705

b. 2.70

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850  

P-value

Since is a one side right tailed test the p value would be:

p_v =P(Z>1.85)=0.032

b. 0.03

Conclusion

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

a. We can reject H(0) in favor of H(a)

4 0
3 years ago
Assume that a spherical cell, with a diameter of 18 μm, has spherical mitochondria, each with a diameter of 0.18 μm. If mitochon
laiz [17]

Since the linear dimension of the mitochondria is 10^-2 times that of the cell, the volume as a proportion of cell volume will be (10^-2)^3 = 10^-6. In order to make up 0.134 of the cell volume, there must be

(1.34×10^-1)/(10^-6) = 1.34×10^5

mitochondria in the cell.

There are about 134,000 mitochondria.

4 0
3 years ago
write an equation that demonstrates the relationship between x and y for the points plotted on the coordinate grid ​
svetoff [14.1K]
Answer: y=3x-7

Explanation:

The y-intercept is -7 and the line is going up by a rate of 3.

5 0
2 years ago
Can anyone help with these maths questions about transformations please?
salantis [7]
A. Reflection over y = 2

B. Reflection over y axis, reflection over y = 1

C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor
8 0
3 years ago
What number is between 3/4 and 6/5​
Sladkaya [172]

Answer:

19.5/20

Step-by-step explanation:

3/4=15/20

6/5=24/20

--|-----|-----|----|-----|-----|------|----|-----|----|-----------

15 16 17 18 19 20 21 22 23 24

5 0
3 years ago
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