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3 years ago

Write a real world problem involving a proportional relationship. Explain how you know the relationship is proportional

1 answer:

n200080 [17]3 years ago

8 0

A real world example of a proportional relationship are wages.

Proportional means that Y grows as X grows, and Y shrinks as X shrinks, and when Y is zero, X is zero. The only time they have to be the same number though is at zero.

An example of this in real life is the way that people make money, wages, let's use minimum wage.
When you work 0 hours, you make $0.
Working 1 hour means you made $7.25
and working 5 hours mean you've made $36.25. It's a linear equation that starts at the origin, that means it is proportional.

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Pls help the options are 3 1/2 3 3/4 2 1/2 2

ANEK [815]

2 is the correct answer, when you see a negative think of it like subtracting from the other number

3 0

3 years ago

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If the first quadrant is 5 4 and move 2 units left and 2 units down what is it

qwelly [4]

Answer: 3, 2

Step-by-step explanation: Coordinates are in X, Y, form, with x being horizontal and y being vertical. If you moved 2 units left, then 5 becomes 3, and 2 units down, then 4 becomes 2, giving you the answer of 3, 2

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4 years ago

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quar

kotykmax [81]

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to show that there is a difference between the performances of these two models

The 95% confidence interval is $0.224 < \mu_1 - \mu_2 < 2.776$

Step-by-step explanation:

From the question we are told that

The sample size is n = 36

The first sample mean is $\= x_1 = 11.4$

The first standard deviation is $s_1 = 2.5$

The second sample mean is $\= x_2 = 9.9$

The second standard deviation is $s_2 = 3.0$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu_1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }$

=> $z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }$

=> $z = 2.3$

From the z table the area under the normal curve to the left corresponding to 2.3 is

$P( Z > 2.3 ) = 0.010724$

Generally the p-value is mathematically represented as

$p-value = 2 * P( Z > 2.3 )$

=> $p-value = 2 * 0.010724$

=> $p-value = 0.02$

From the value obtained we see that $p-value < \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}}$

=> $E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}$

=> $E = 1.276$

Generally 95% confidence interval is mathematically represented as

$( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E$

=> $( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276$

=> $0.224 < \mu_1 - \mu_2 < 2.776$

4 0

3 years ago

Find the unknown measure of the rectangle. Area =28 square centimeters Height =?

taurus [48]

Area of rectangle = Length*width
A = 28 so 28 = 4 * height
height = 28/4 = 7

6 0

3 years ago

Read 2 more answers

Martin earned the following scores on his last five tests.

sdas [7]

Answer:

The mean of Martin's scores is 85.2

Step-by-step explanation:

In order to find the mean of a set of numbers, you will have to add up all of the numbers and divide the result by the total numbers in the set.

98 + 78 + 84 + 75 + 91 = 426

Since there are 5 numbers in total, we will do 426 divided by 5.

426 ÷ 5 = 85.2

So, the mean of Martin's scores is 85.2

5 0

3 years ago

Read 2 more answers