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Nitella [24]
3 years ago
8

Help me please asap due tomorrow​

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answers:

1. 40

3. 63

4. 100

5. 40

6. 72

Formulas:

3. \frac{(6+12)7}{2} \\

4.\frac{(11+14)8}{2}

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The population of a city has increased by 36% since it was last measured. If the current population is 71,400,what was the previ
arsen [322]

Answer:

52,500

Step-by-step explanation:

We can convert the word problem into an equation:

1.36x= 71,400

x represents the number of people in the previous population

We divide both sides by 1.36

x=52,500

The previous population was 52,500!

Hope this helps!

6 0
3 years ago
Find the equation of the line with a slope of 12 that passes through the point (3, -1).
nevsk [136]
The answer is
C
Explaintion:
Plugging 3 into x will give you 36 and 36-37 equals -1 and since y=-1 that’s means that is your answer
4 0
3 years ago
The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A
xz_007 [3.2K]

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

H_0: \mu = 28

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

H_1: \mu > 28.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

In this problem, the values of the parameters are given by:

\overline{x} = 32, \mu = 28, \sigma = 5, n = 10

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}

z = 2.53

<h3>What is the decision?</h3>

Considering that we have a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a standard <em>significance level of 0.05</em>, the critical value is of z^\ast = 1.645.

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check brainly.com/question/26454209

4 0
2 years ago
Find the y-intercept of the graph.
natka813 [3]

Answer:

qgg

Step-by-step explanation:

grrqg

5 0
3 years ago
Joni earned $0.625 per day for two days as interest on her $1,000.00 investment. What percent interest did she earn in total? Gi
Kitty [74]

Joni’s total interest earned is 0.125% of her investment.

<u>Solution:</u>

Given that

Interest earned by Joni per day = $0.625

Investment done by Joni = $1000

Duration of earning interest = 2 days  

Total interest earned = interest earned by Joni \times duration of interest earned.

= 0.625 \times 2 = $1.25

\text { Percentage of interest earned }=\frac{\text {total interest earned}}{\text {investment done}} \times 100

=\frac{125}{1000} \times 100=0.125 \%

So Joni’s total interest earned is 0.125% of her investment.

4 0
3 years ago
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