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Vinil7 [7]
2 years ago
9

The sum of three consecutive numbers is 537. What is the 3rd number?

Mathematics
1 answer:
maks197457 [2]2 years ago
8 0

For this problem your equation will be x+(x+1)+(x+2)=537

Multiply and Simplify:

x+x+1+x+2=537

3x+3=537

Subtract 3 from both sides:

3x+3-3=537-3

3x=534

Divide both sides by 3:

3x/3=537/3

x=179

179 is the middle number so: 178+179+180=537

180 is the third number.



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A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

H_0: p \leq 0.4

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the schoo
natita [175]

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

8 0
2 years ago
What is y=5/6x-3 in standard form
saul85 [17]
The answer is negative 2.5 why because...
4 0
2 years ago
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Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
Find the value of y in the diagram.<br> TUVS ~ LMNO
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