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3 years ago

The graph below shows a proportional relationship between yyy and xxx.

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

$k = 40$

Step-by-step explanation:

Given

The attached graph

Required

Calculate the constant of proportionality.

Represent the required constant with k.

Such that:

$k = \dfrac{y}{x}$

Pick any two corresponding values of x and y

$(x,y) = (1,40)$

This means that:

$x = 1\ and\ y = 40$

$k = \dfrac{y}{x}$ becomes

$k = \frac{40}{1}$

$k = 40$

sashaice [31]3 years ago

8 0

Answer:

3.5

Step-by-step explanation:

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olga2289 [7]

The answer without a doubt is 69/420

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2 years ago

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

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2 years ago

Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the fu

Alja [10]

<span>Given that Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the function H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.

IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .

The formula for E(m) in terms of H(m) and V(m) is given by

E(m) = H(m) - V(m)

And

The formula for E(m) in terms of m is given by

E(m) = 17.4m - 17m = 0.4m</span>

8 0

3 years ago

Read 2 more answers

What is the area of a parallelogram if is length is x+1 and height is x+8?

Irina-Kira [14]

Answer:

8 square units

Step-by-step explanation:

x + 1 = 0

x = -1

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x = -8

Area = (-1) * (-8) = 8 square units

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2 years ago

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GrogVix [38]

The width should be 56 inches.

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