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Vlad [161]
2 years ago
13

Tha janitor at a school discovered a leak in a pipe. The janitor found that it was leaking A rate of 10 fl oz per minute. How fa

st was the pipe leaking in gallons per hour?
Mathematics
1 answer:
spin [16.1K]2 years ago
7 0
Since their are 128 FL OZ in a gallon in a gallon do 10 times 60 (Mins in an hour) you get 60/128 an hour or you can divide to make a decimal and get 0.46875
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A study reported that the average age of menarche of girls entering the first year class of a small American private college in
Verizon [17]

Answer:

Null hypothesis: \mu = 11.89

Alternative hypothesis: \mu \neq 11.89

And we want to test this with a confidence interval:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

After conduct the interval of 95% for the true mean we got: (11.59, 13.31)

And for this case the confidence interval contains the value of 11.89, so then we have enough evidence to FAIL to reject the null hypothesis at 5% of significance that the true mean is 11.89.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

\bar X=12.98 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n=30 represent the sample size  

Solution to the problem

For this case we want to test the following hypothesis:

Null hypothesis: \mu = 11.89

Alternative hypothesis: \mu \neq 11.89

And we want to test this with a confidence interval:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

After conduct the interval of 95% for the true mean we got: (11.59, 13.31)

And for this case the confidence interval contains the value of 11.89, so then we have enough evidence to FAIL to reject the null hypothesis at 5% of significance that the true mean is 11.89.

4 0
3 years ago
A. g(x)=3x^2<br> b. g(x)=(1/9x)^2<br> c. g(x)-1/3x^2<br> d. g(x)(1/3x)2
zaharov [31]

Answer:

the awnser would be a(g(x)=3x2

6 0
3 years ago
Explain, with a test, why the two triangles in each figure are similar. Find the
frutty [35]

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}

\frac{AB}{AD}=\frac{AC}{AE}

\frac{AD+BD}{AD}=\frac{AE+EC}{AE}

\frac{3}{2}=\frac{x+1.5}{x}

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, \frac{AB}{AD}=\frac{BC}{DE}

\frac{3}{2}=\frac{y}{4}

y = \frac{3\times 4}{2}

y = 6

7 0
3 years ago
What is 1 and 5/6 + 4 and 3/6 ​
Simora [160]
The answer is 6 1/3 because 1+4= 5 and 3/6 + 5/6 is 8/6 which simplify a to 1 and 1/3 and 5+ 1 1/3= 6 1/3
3 0
3 years ago
16 POINTS!!! HELP ASAP
nadya68 [22]

Answer:

The answer is 358.01

Step-by-step explanation:

Given:

3\times 10^{2}+5\times 10^{1}+8\times 10^{0}+1\times \frac{1}{10^{2}}

Now, to solve first we crack the power notation then multiply and then do the addition:

3\times 100+5\times 10+8\times 1+1\times \frac{1}{100}

(The value of 10^{1} is 10 and the value of 10^{0} is 1.)

=300+50+8+\frac{1}{100}

=300+50+8+0.01

=358.01.

Therefore, the answer is 358.01 .

7 0
3 years ago
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