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3 years ago

On a scale drawing with a scale of 1 cm = 0.9 m, the height of a tree is 1.2 cm. How tall is the actual tree in meters?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

1cm=.9m
we can multiply this by 1.2 because it will help when solving the equation
1.2cm=1.08m
this is your answer!

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3 years ago

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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

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Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 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.

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

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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.

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

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3 years ago

What is the value of f(4) in f(x)=3x-6

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3 years ago