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3 years ago

Y varies directly as x = 1/2 and y = 5/4. what is x when y is 60

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

Answer:

X is 24

Step-by-step explanation:

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Garrett buys tickets to a concert. He pays $24.50 for each ticket plus a

Kay [80]

24.50 x 8.50 = 33.0

131 ÷ 33 = 3.9696969697

8 0

2 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Stolb23 [73]

Answer:

0.0764

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 33, \sigma = 0.7$

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?

This is the pvalue of Z when X = 32. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 33}{0.7}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0764, which is the correct answr

6 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

30 POINTS SEND ASAP OR I WONT SEE IT! Do both

Kobotan [32]

Answer:

ITS "B"

Step-by-step explanation:

5 0

2 years ago

What is the solution for the equation: p - 10 = 5

Nookie1986 [14]

The solution is 15.