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marshall27 [118]
2 years ago
5

In the country of Apexistan, 7% of the population was unemployed in September of 2007. If there were 147,000,000 people willing

and able to work in Apexistan during that month, how many people were unemployed?
Mathematics
2 answers:
Natali [406]2 years ago
8 0
147,000,000*7%=   10290000
Igoryamba2 years ago
5 0

Answer:

The number of unemployed peoples in September of 2007 is 10,290,000.

Step-by-step explanation:

It is given that in the country of Apexistan, 7% of the population was unemployed in September of 2007.

The number of persons those are able to work in Apexistan during that month is 147,000,000.

The number of unemployed peoples is 7% of 147,000,000.

147,000,000\times \frac{7}{100}=10,290,000

Therefore the number of unemployed peoples in September of 2007 is 10,290,000.

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Calvin throws 12 sheets of paper up in the air and randomly catches one of the sheets as they float down. Of the 12 sheets of pa
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Total number of sheets are 12.

Total number of white sheets= 9

Total number of red sheets = 3

Probability = Number of favorable outcomes/ total number of outcomes.

Hence

When Calvin throws the sheets in the air, the probability that he gets a white sheet is

\frac{9}{12}

which equals to \frac{3}{4}

that becomes 0.75

7 0
2 years ago
It has been suggested that night shift-workers show more variability in their output levels than day workers. Below, you are giv
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Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.9

p-value = 0.206

Since the p-value is greater than α therefore, we cannot reject the null hypothesis.

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Step-by-step explanation:

Let σ₁² denotes the variance of night shift-workers

Let σ₂² denotes the variance of day shift-workers

State the null and alternative hypotheses:

The null hypothesis assumes that the variance of night shift-workers is equal to or less than day-shift workers.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance of night shift-workers is more than day-shift workers.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic or also called F-value is calculated using

Test statistic = Larger sample variance/Smaller sample variance

The larger sample variance is σ₁² = 38

The smaller sample variance is σ₂² = 20

Test statistic = σ₁²/σ₂²

Test statistic = 38/20

Test statistic = 1.9

p-value:

The degree of freedom corresponding to night shift workers is given by

df₁ = n - 1

df₁ = 9 - 1

df₁ = 8

The degree of freedom corresponding to day shift workers is given by

df₂ = n - 1

df₂ = 8 - 1

df₂ = 7

We can find out the p-value using F-table or by using Excel.

Using Excel to find out the p-value,

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.9, 8, 7)

p-value = 0.206

Conclusion:

p-value > α    

0.206 > 0.05   ( α = 1 - 0.95 = 0.05)

Since the p-value is greater than α therefore, we cannot reject the null hypothesis corresponding to a confidence level of 95%

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

3 0
2 years ago
Thomas is planning a trip to India. He is currently deciding which cities he would like to visit during his stay. The table belo
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A family recycled 66 cans in February, 94 cans in March, 122 cans in April, and 150 cans in May. If this pattern went from Janua
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Step-by-step explanation:

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2 years ago
Evaluate 10m +\dfrac {n^2}410m+ 4 n 2 ​ 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m=5m=5m, equal
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Answer: 54

Step-by-step explanation:

Given the following expresion provided in the exercise:

10m+\frac{n^2}{4}

You can follow these steps in order to evaluate it when m=5 and n=4:

1. You need to substitute m=5 and n=4 into the given expression:

10(5)+\frac{(4)^2}{4}

2. Now you can solve the mutiplication:

=50+\frac{(4)^2}{4}

3. Since 4^2=4*4, you get:

=50+\frac{16}{4}

4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:

=50+4

5. And finally, you must solve the addition. So, you get this result:

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