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Karo-lina-s [1.5K]
3 years ago
5

the width of a rectangle is 5 meters less than it’s length. The area of the rectangle is 84m^2. Find the length and width of the

rectangle
Mathematics
1 answer:
larisa [96]3 years ago
3 0
16.8m is the length and 5m is width
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It could probably be B or A
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What is the distance between points (10, 7)(10, 7) and (2, 7)(2, 7) on a coordinate plane?
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I am sorry i have no idea. :( But i can ask my brother who is in a higher grade than i. i will ask him when he gets home for you. :)
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3 years ago
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
Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.​
Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>

<em><u>Add equation (iii) &  (iv)-</u></em>

9 x + 6 y = 15 a + 3 a...................(iii)

<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)

17 x = 17 a + 17 b

<u>x = a + b</u>

Put x = a + b in equation (i)-

<em>2 y = 5 a + b - 3 a - 3 b</em>

<em>2 y = 2 a - 2 b</em>

<u>y = a - b </u>

<em>∴ y - x = a - b - ( a + b )</em>

<em>y - x = a - b - a - b</em>

y - x = - 2 b

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2 years ago
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kozerog [31]

the answer is 54 9/14

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