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olganol [36]
3 years ago
9

A middle school with 375 students has 125 students in the eighth grade. Irene says that the eighth-grade class makes up of the s

chool. Yolanda says that the eighth-grade class makes up of the school. Fernando says that the eighth-grade class makes up of the school.
A. Convert each student’s decimal into a fraction.

B. Which student’s decimal is correct?

C. Which student’s decimal represents the population of the rest of the middle school instead of the eighth-grade class?
Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

Step-by-step explanation:

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An algebra test contains 38 problems. Some of the problems are worth 2 points each. The rest of the questions are worth 3 points
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Let 'x' be the problems worth 2 points.

Let 'y' be the problems worth 3 points.

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x = 38-y

Since, a perfect score is 100 points.

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Substituting the value of 'x', we get

2(38-y)+3y=100

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x = 38-24 = 14

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What is the measure of angle b
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36°

Step-by-step explanation:

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3 years ago
(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Mid
vekshin1

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

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The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

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For  α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

<u>Observed and expected frequencies of calls for each of the region:</u>

<u>Northeast</u>

Observed frequency = 39

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The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

<u>Midwest</u>

Observed frequency = 55

It contains 21.9% of the US Population

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<u>West</u>

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x^{2} = \sum \frac{(O_{i} - E_{i})  ^{2} }{E_{i} } ,   i = 1, 2,.........k

Where O_{i} = observed frequency

E_{i} = Expected frequency

Calculate the test statistic value, x²

x^{2} = \frac{(39 - 36.2)^{2} }{36.2} + \frac{(55 - 43.8)^{2} }{43.8} + \frac{(60 - 73.4)^{2} }{73.4} + \frac{(46 - 46.6)^{2} }{46.6}

x^{2} = 5.535

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.  

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3. 40% of x is 35. Write an equation. Then use your equation to find x.​
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Answer: x =  87.5

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