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STALIN [3.7K]
2 years ago
10

A round wading pool has a diameter of 115\text{ cm}115 cm115, start text, space, c, m, end text and is 25\text{ cm}25 cm25, star

t text, space, c, m, end text deep. A hose is filling the pool at a rate of 34{,}000\text{ cm}^334,000 cm 3 34, comma, 000, start text, space, c, m, end text, cubed per minute. How long will it take to fill the pool to a depth of 20\text{ cm}20 cm20, start text, space, c, m, end text?
Mathematics
1 answer:
AveGali [126]2 years ago
8 0

Answer: 6

Step-by-step explanation:

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​Jody, a statistics​ major, grows tomatoes in her spare time. She measures the diameters of each tomato. Assume the Normal model
lina2011 [118]

Answer:

Zscore = 0.5

Step-by-step explanation:

If we assume a normal distribution, we mean that the diameters of each tomato follow a normal distribution. This is N~ (0,1).

By that, we mean that the mean (μ) = 0 and variance (\sigma^{2}) = 1. Thus, since we are told that one tomato was in the 50th percentile. This implies the median. And is 0.5. And if the distribution is normal, the mean and median and mode should be equal.

Thus:

==> Z score = \frac{x-\mu}{\sigma} = \frac{0.5 - \mu}{\sigma} = \frac{0.5-0}{1} = 0.5

8 0
2 years ago
At the rate of 4 pens for C cents, how many pens Can I buy for 40 cents?
umka21 [38]
I'm not sure but I think it would be 10 pens hope this helps.
6 0
2 years ago
Read 2 more answers
There are 18 people waiting in the bus queue. Half of them are going to Langdale How many people are going to Langdale
Ludmilka [50]
If you would like to know how many people are going to Langdale, you can calculate this using the following steps:

18 people
half of them: 18/2 = 9 people

Result: 9 people are going to Langdale. 
6 0
2 years ago
Read 2 more answers
A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
VashaNatasha [74]

Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x you are looking for the probability P(X \geq x)  which is

P(X \geq x)  = \int\limits_{-\infty}^{x}  1.25(1-t^4) dt = \int\limits_{0}^{x}  1.25(1-t^4) dt = 1.25x - 0.25x^2

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

5 0
2 years ago
What’s the x value of PR=9x-31 and QR=43?
True [87]
<h3>Simplifying </h3>

9x + -31 = 43

<h3>Reorder the terms:</h3>

-31 + 9x =43

<h3>Solving</h3>

-31 + 9x =43

<h3>Solving for variable 'x' .</h3><h3>Move all terms containing x to the left, </h3>

Add '31' to each side of the equation .

0 + 31 +9x = 43 + 31

<h3>Combine like terms: </h3>

-31 + 31 =0

0 + 9x = 43 +31

9x = 43 + 31

<h3>Combine like terms:</h3>

43 + 31 =74

9x = 74

<h3>Divide each side by '9'</h3>

x = 8. 222222222

<h3>Simpifying</h3>

x = 8.222222222

6 0
2 years ago
Read 2 more answers
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