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olga nikolaevna [1]

3 years ago

12

1. Calculate the volume of a cube with the following measurements. Length = 5 cm Height = 10 cm Width = 16 cm 800 cubic cm 400 c

ubic cm 31 cubic cm 50 cubic cm

1 answer:

Finger [1]3 years ago

3 0

Answer:

800

Step-by-step explanation:

lol ain't even a cube das a rectangle

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A box has three balls, one white and two red. We select one ball, put it back in the box, and select a second ball (sampling wit

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Answer:

See explaation

Step-by-step explanation:

Given

Represent the balls with the first letters

$W =1$

$R =2$

Solving (a): P(F) --- White balls twice

The event of F is:

$F = \{(W,W)\}$

So:

$P(F) = P(W) * P(W)$

$P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}$

$P(F) = \frac{1}{3} * \frac{1}{3}$

$P(F) = \frac{1}{9}$

Solving (b): P(G) --- two different colors

The event of G is:

$G = \{(W,R),(R,W)\}$

So:

$P(G) = P(W) * P(R) + P(R) * P(W)$

$P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}$

$P(G) = \frac{1}{3} * \frac{2}{3} + \frac{2}{3} * \frac{1}{3}$

$P(G) = \frac{2}{9} + \frac{2}{9}$

$P(G) = \frac{4}{9}$

Solving (c): P(H) --- White picked first

The event of H is:

$H = \{(W,R),(W,W)\}$

So:

$P(H) = P(W) * P(R) + P(W) * P(W)$

$P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}$

$P(H) = \frac{1}{3} * \frac{2}{3} + \frac{1}{3} * \frac{1}{3}$

$P(H) = \frac{2}{9} + \frac{1}{9}$

$P(H) = \frac{3}{9}$

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Solving (d): F and G, mutually exclusive?

We have:

$F = \{(W,W)\}$

$G = \{(W,R),(R,W)\}$

Check for common elements

$n(F\ n\ G) = 0$

<em>Hence, F and G are mutually exclusive</em>

Solving (e): G and G, mutually exclusive?

We have:

$G = \{(W,R),(R,W)\}$

$H = \{(W,R),(W,W)\}$

Check for common elements

$n(G\ n\ H) = 1$

<em>Hence, F and G are not mutually exclusive</em>

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