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DedPeter [7]
3 years ago
10

The walkers traveled 182 miles in 3 1/2 hours. The equation 3.5m=182 can be used to find their mean rate of travel. What is the

value of m?
Mathematics
1 answer:
Serjik [45]3 years ago
6 0
182 divided byyyy 3.5 =52 miles per hour
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The Smiths spent $2,000 on clothes in a particular year. If they increase the amount they spend on clothes by 10% each year, the
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2000 * .1 = 200 + 2000 = 2200 (First year)

2200 *.1 = 220 + 2200 = 2420 (second year )

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They spent $2928.2 on clothing for 4 years.
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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
Ghella [55]

Answer:

<em>PT=30 units</em>

Step-by-step explanation:

Given that:

Line PQ which has a mid point at T.

PT = 3x + 9 and

TQ = 5x -5

To find:

PT = ? in simplified terms.

Solution:

First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.

In other words:

If a point B is the mid point of line segment AC, then AB = BC.

Here, the point T is the midpoint of PQ.

i.e. PT = TQ

3x+9=5x-5\\\Rightarrow 3x-5x=-5-9\\\Rightarrow -2x=-14\\\Rightarrow x=7

Putting value of x in PT above:

PT = 3x+9 = 3 \times 7 +9 \\\Rightarrow \bold{PT=30\ units}

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Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selec
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In a scale drawing of a house, 2 inches : 5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawin
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Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organizatio
Margarita [4]

Answer:

Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.

It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.

For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.

This average would be the population mean: the average performance of the machines of the same type or process.

Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.

Step-by-step explanation:

For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.

Then, the null and alternative hypothesis are:

H_0: \mu=100\\\\H_a:\mu< 100

The significance level is 0.05.

The sample has a size n=14.

The sample mean is M=92.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944

The degrees of freedom for this sample size are:

df=n-1=14-1=13

This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.0134) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that machine A produces significantly less units per day than the average.

3 0
3 years ago
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