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Nastasia [14]
2 years ago
8

Find the difference. Enter your answer in lowest terms in the box below as a

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

  76/165

Step-by-step explanation:

The difference of fractions can be found using the formula ...

  a/b -c/d = (ad -bc)/(bd)

<h3>Difference</h3>

Using the given values in the formula, we have ...

  \dfrac{8}{11}-\dfrac{4}{15}=\dfrac{8(15)-11(4)}{11\cdot15}=\dfrac{120-44}{165}=\boxed{\dfrac{76}{165}}

Here, the difference fraction does not need to be reduced. Many calculators and spreadsheets can do this arithmetic for you.

The above formula can also be used for sums of fractions. In that case, the sign changes from minus to plus.

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Mrs. Owens was making Thanksgiving dinner for 10
saul85 [17]

Well if she is making dinner for 10 people and each person want 2 pieces then you need to multiple 10 x 2 = 20. So she is going to need to make 20 pieces.

If each of her pumpkin pies only has 8 pieces then she is going to have to make 3 pies.

3 pies x 8 pieces = 24 pieces of pumpkin pie. So she has to make 3 pies because she needs 20 pieces since everyone wants 2.

In conclusion Mrs. Owens has to make 3 pies and she is going to have 4 pieces left over.

7 0
3 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
Ms. Chu needs to buy hot dogs and buns for the school picnic. She needs at least one hot dog and bun for each of the 40 students
PtichkaEL [24]
Heksndurnfndjfndjwjfjrnwkfh
6 0
3 years ago
Write 3 numbers that make this inequality true: x&gt;4​
Trava [24]

Answer:

8, 10, 24

(Basically every number above 4)

5 0
3 years ago
Read 2 more answers
How do I figure this anser-6w &lt; 84​
Sophie [7]

Answer:

w > -14

Step-by-step explanation:

Divide both sides by -6.

-6w/-6 = w

84/-6 = 14

Since it's an equality, if the coefficient of the variable is negative, when you divide the sign flips to the opposite.

4 0
3 years ago
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