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3 years ago

a door frame is 80 inches tall and 36 inches wide, what is the length of diagonal of the door frame? round to the nearest 10th

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer:

88 in

Step-by-step explanation:

You will need to use the Pythagorean theorem for this question which is a^2+b^2=c^. The diagonal will always be c, therefore you need to plug 80 in for a and 36 in for b. Add those together, and you should be left with 7696=c^2. Take the square root of both, and you will get your answer :)

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Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

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3 years ago

A farmer sells 8.3 kg of apples and pears at the farmers market this way is apples and Restless Paris how many kilograms of Pari

Serga [27]

Answer:

She sell 2.075 kilograms of pears at the farmer's market.

Step-by-step explanation:

There is a mistake in the question some data is missing, so the correct question is below:

A farmer sells 8.3 kg of apples and pears at the farmer's market. 3 /4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Now, to find the kilograms of pears.

Total weight of apples and pears = 8.3 kg.

Weight of apples = $\frac{3}{4}$ of 8.3 kg.