What happens to the volume of a rectangular prism when you double the length of every side?

1 answer:

4 0

If you double the length
⇒ scale factor of the length = 2

Scale factor of the volume = 2³ = 8

The volume will increase by 8 times if you double the length of the rectangular prism.

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The probability distribution for the number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.) for se

Gala2k [10]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 1*0.05 +2* 0.3 +3* 0.4 +4*0.25 = 2.85$

So we are going to expect about 2,85 automobiles for this case.

Step-by-step explanation:

For this case we define the random variable X as "number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.)" and we know the distribution for X is given by:

X 1 2 3 4

P(X) 0.05 0.30 0.40 0.25

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete

For this case we can calculate the epected value with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 1*0.05 +2* 0.3 +3* 0.4 +4*0.25 = 2.85$

So we are going to expect about 2,85 automobiles for this case.

4 0

3 years ago

What is the result of 54×18 written in standard form

motikmotik

Answer:

9.72 x 10^2

Step-by-step explanation: