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3 years ago

12

Suppose a plane flies 48 miles in 12 minutes. The relationship between miles flown,x, and minutes flown,y, by the plane can repr

esent by the equation y= 1/4x

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer:

y=12

x=48

Step-by-step explanation:

Relationship shows that

y=1/4x

if we put y=12 and x=48 it holds.

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2 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

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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.

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

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

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Answer:

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Step-by-step explanation:

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