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3 years ago

What is the equation for p=1.2w/h^2 when solving for h

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

Take the root of both sides and solve
1.09544511 $\sqrt{pw}$ 1.09544511 $\sqrt{pw}$
h= ___________ , - ____________
p p

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A rectangle has length x cm and width 2 cm less

vichka [17]

x^2 - 2x = 146

x^2 - 2x - 146 = 0

See attachment. The quadratic formula is needed in this case.

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twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels

soldi70 [24.7K]

$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)

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What is the probability of getting heads when flipping a coin and getting a number greater than or equal to 4 when rolling a sin

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The graph of an exponential function is given. Which of the following is the correct equation of the function?

Effectus [21]

The answer is choice D

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Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.

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3 years ago

It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi

Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that $\mu = 35000, \sigma = 7000$

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

$-1.88 = \frac{X - 35000}{7000}$

$X - 35000 = -1.88*7000$

$X = 21840$

The designed life should be of 21,840 vehicle miles.

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2 years ago