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3 years ago

What is the solution to the System of Equations graph below?

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

Answer:

Step-by-step explanation:

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Can mow his lawn at rate of 15 per hour. how many get per hour is this

ryzh [129]

If it’s 15 per hour then the answer is 15

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3 years ago

Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are 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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

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3 years ago

Round 919,827 to each place value in the table

Alchen [17]

Nearest 1000: 920,000

Nearest 100: 919,800

Nearest 10: 919,830

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The volume of a conical pile of sand is increasing at a rate of 300πcm3/sec

lesya [120]

So using the formula for the volume of a cone:
r^2pi x h/3

The height is always 4 times the radius, so:
h=4r

Now putting the values into the original formula:

r^2pi x 4r/3

Now to see how much the radius increases per second:

r^2pi x 4r/3=300pi

r^2 x 4r/3=300

r^2 x 4r=900

r^2 x r=225

r^3=225

The radius increases by the cubic square root of 225 cm per second.

f(s)= 225^1/3 cm

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3 years ago

How many cubic feet are in 3 cubic yards?

OlgaM077 [116]

81 cubic feet are in 3 cubic yards.

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