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3 years ago

10

John drove 48 miles and used 2 gallons of gasoline how many gallons of gasoline will he use if he drives 78 miles

1 answer:

DanielleElmas [232]3 years ago

8 0

4 gallons but still have some left over
(3 1/6 gallons)

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Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ? Where is the picture

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The garden warehouse delivered 1500 lbs of topsoil in 5 lbs bags to the garden shop. The garden shop sold half of the bags the s

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4 years ago

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How many seconds are in 10 hours

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There are 60 seconds in a minute.

There are 60 minutes in an hour.

This means that there'd be 600 minutes in 10 hours.

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3 years ago

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

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3 years ago