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2 years ago

What is the constant of proportionality y=4.75x

Mathematics

1 answer:

Temka [501]2 years ago

4 0

Answer:

4.75

Step-by-step explanation:

The equation of y proportional to x is

y = kx ← k is the constant of proportionality

y = 4.75x ← is in this form

with k = 4.75

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Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneaker

Korvikt [17]

Answer:

$25.00

Step-by-step explanation:

200-100=100

100/4=25

4 0

1 year ago

Read 2 more answers

Data on the oxide thickness of semiconductor wafers are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426,

DanielleElmas [232]

Answer:

423

Step-by-step explanation:

The sample mean is a point estimate of the population mean.

Therefore a point estimate of the mean oxide thickness for all wafers in the population is the mean of the sample data on the oxide thickness of semiconductor wafers.

To calculate the sample mean, we sum all the sample data and divide by the sample size which is 24. We get 423.33 ≈423

7 0

1 year ago

G A professor has two light bulbs in his garage. When both are burned out, they are replaced, and the next day starts with two w

Aneli [31]

Answer:

2/7 or 0.2857

Step-by-step explanation:

The expected time before the first bulb burns out (two bulbs working) is given by the inverse of the probability that a bulb will go out each day:

$E_1 = \frac{1}{0.02}=50\ days$

The expected time before the second bulb burns out (one bulb working), after the first bulb goes out, is given by the inverse of the probability that the second bulb will go out each day:

$E_2 = \frac{1}{0.05}=20\ days$

Therefore, the long-run fraction of time that there is exactly one bulb working is:

$t=\frac{E_2}{E_1+E_2}=\frac{20}{20+50}\\t=\frac{2}{7}=0.2857$

There is exactly one bulb working 2/7 or 0.2857 of the time.

7 0

1 year ago

For the members of a book group, the probability of randomly selecting a member who likes to read historical fiction is 47%, the

umka2103 [35]

Answer:

75%

Step-by-step explanation:

8 0

1 year ago

Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). Explain how you guy y

vodka [1.7K]

Answer:

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

x y xy x² y²

-3 -40 120 9 1600

1 12 12 1 144

5 72 360 25 5184

7 137 959 49 18769

Σ = 10 181 1451 84 25697

2. Calculate the correlation coefficient

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}$

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

3 0

1 year ago