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3 years ago

Solve: (x ÷ 4) + 8 = 38

1 answer:

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

Eduardwww [97]

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.

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3 years ago

Read 2 more answers

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.

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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.

Part (A)What is the probability that the test comes back negative for all six people? 

Let P(X)= P(Antibody not present)

We want test comes back negative for all six that means antibody is present for all six. Thus X=0

$P(X=0)=0.991\times0.991\times0.991\times0.991\times0.991\times0.991\\P(X=0)=0.9472$

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

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

$P(X \geq1)=1-P(X=0)$

$P(X \geq1) = 1-0.9472$

$P(X \geq1) = 0.0528$

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

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3 years ago

Which statement best describes Jim's first error

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Can u show the whole question

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2 years ago