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AveGali [126]
3 years ago
11

Solve: (x ÷ 4) + 8 = 38

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0
First you have to rewrite the equation:
(x ÷ 4) + 8 = 38

Second you have to write the division as fraction:
(¼x) + 8 = 38

Third you have to take off the unecessary bracket:

¼x + 8 = 38

Fourth multiply 8 and 38 by 4
x + 32 = 152

Fifth step move the constant to the right hand and change the sign.
x = 152 - 32

Then subtract:

x = 120

Hope this helps :))
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Dough says that the opposite of -2/5 is 5/-2 is he correct
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Answer:

No he is not correct. As the answer would be -2/5 = -0.4 and 5/-2 = -2.5 as the answer is also not opposite.

7 0
3 years ago
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According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
4 years ago
How many ways can Mrs. Sullivan choose two
sveta [45]

In 371 ways Mrs. Sullivan choose two  students from 27 to help put away calculators at  the end of class

Step-by-step explanation:

let us assume that Mrs.Sullivan  wants to choose 2 students from a group of 27 students

So ,in the first choice we have  27 students

In the  second choice we have  26 choices

So Mrs.Sullivan has = 27 × 26 = 702 ways

But  each group repeated twice,in order to avoid that we will divide the answer by 2

so we will write

= 702 ÷ 2 =<u> 351 ways</u>

<u>This method of calculation is called Combination</u>

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3 years ago
A test to determine whether a certain antibody is present is 99.1​% effective. This means that the test will accurately come bac
avanturin [10]

Answer:

The probability that all the six people will test negative for the antibody is 0.9472.

The probability that the test comes back positive for at least one of the six ​people is 0.0528

Step-by-step explanation:

Consider the provided information.

probability that antibody is present will be effective is 99.1​% and not present​ is 99.1​% of the time.

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Part (B) What is the probability that the test comes back positive for at least one of the six ​people?

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P(X \geq1) = 1-0.9472

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Which statement best describes Jim's first error
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Can u show the whole question
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