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lilavasa [31]
3 years ago
14

What’s the variance

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

A is the right answer

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1 tank of propane holds 5 gallons and will last 12 hours. how many gallons of propane is needed for 240 hours.
MAVERICK [17]

5 gallons        x gallons

------------- = ----------------

12 hours       240 hours


using cross products

5 * 240 = 12 * x

1200 = 12 x

divide each side by 12

1200/12 = 12x/12

100 =x

You will need 100 gallons

8 0
3 years ago
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What is the slope of the linear function?
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Answer: Answer choice D

Step-by-step explanation: The linear function is y = -5/3 + 5, which means that the slope is 5/3. The fact that the slope is ascending to the left also eliminates the first two choices.

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You would half to take 8×(8×pi r squared)
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3 years ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
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