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loris [4]
4 years ago
9

Mary has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/

24 yard? I
Mathematics
2 answers:
MrRissso [65]4 years ago
8 0

Answer:

\frac{3}{6}+\frac{1}{3}

Step-by-step explanation:

To answer this question, we have to sum each pair of cable and see which one results in 20/24.

\frac{3}{6}+\frac{1}{4}=\frac{12+6}{24}=\frac{18}{24}=\frac{3}{4}

\frac{3}{6}+\frac{1}{3}=\frac{9+6}{18}=\frac{15}{18}=\frac{5}{6}

\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}

Now, if we simply 20/24, we have:

\frac{20}{24}=\frac{10}{12}=\frac{5}{6}

As you can see, the answer is the second sum above, because they have the same basic fraction.

Therefore, the answer is

\frac{3}{6}+\frac{1}{3}

nikitadnepr [17]4 years ago
7 0

Answer:

3/6 + 1/3

Step-by-step explanation:

20/24 can be devided top and bottom by 4 which would equal 5/6, if you add 3/6 + 1/3 also equals 5/6.

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hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>2.5)=0.006

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The null hypothesis is rejected.

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James will spend $119.94

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Complete the point slope equation of the line through (-5, 7) and (-4, 0).​
IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

y = mx + b

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m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} =  \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7

Thus, the equation is of the form:

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We substitute one of the points and find "b":

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Finally, the equation is:

y = -7x-28

Answer:

y = -7x-28

5 0
3 years ago
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