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3 years ago

PWEEZ HELPPPPPPPPPPPPPP

Mathematics

1 answer:

garik1379 [7]3 years ago

5 0

1. m∠1 + m∠2 = 180°

2. Definition of bisector

3. m∠1 + m∠3 = 180°

4. Substitution Property of Equality

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An airplane travels at a constant speed of 300 miles per hour. How far, in miles, will the airplane travel in 20 minutes?

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100 miles in 20 minutes.

Step-by-step explanation:

300/60 = x/20

x = 300/60 * 20

x = 100

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Is 16.5 a rational or irrational number

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A box contains four 10 nf and eight 100 nf capacitors. (a) what is the probability of obtaining at least two 10 nf capacitors if

grigory [225]

there are 4 of the 10-nf and 8 of the 100-nf capacitors which is a total of 12 items.

the probability of drawing a 10-nf is: 4 out of 12 = $\frac{1}{3}$

the probability of drawing a 100-nf is: 8 out of 12 = $\frac{2}{3}$

(a) "at least two" means: 2 or 3 or 4

Probability of 2 (10's) and 2 (100's): $\frac{1}{3}$ x $\frac{1}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ = $\frac{4}{81}$

Probability of 3 (10's) and 1 (100's): $\frac{1}{3}$ x $\frac{1}{3}$ x $\frac{1}{3}$ x $\frac{2}{3}$ = $\frac{2}{81}$

Probability of 4 (10's) and 0 (100's): $\frac{1}{3}$ x $\frac{1}{3}$ x $\frac{1}{3}$ x $\frac{1}{3}$ = $\frac{1}{81}$

2 or 3 or 4: $\frac{4}{81}$ + $\frac{2}{81}$ + $\frac{1}{81}$ = $\frac{7}{81}$

(b) without replacement

Probability of 2 (10's) and 2 (100's): $\frac{4}{12}$ x $\frac{3}{11}$ x $\frac{8}{10}$ x $\frac{7}{9}$ = $\frac{4 x 3 x 8 x 7}{12 x 11 x 10 x 9}$

Probability of 3 (10's) and 1 (100's): $\frac{4}{12}$ x $\frac{3}{11}$ x $\frac{2}{10}$ x $\frac{8}{9}$ = $\frac{4 x 3 x 2 x 8}{12 x 11 x 10 x 9}$

Probability of 4 (10's) and 0 (100's): $\frac{4}{12}$ x $\frac{3}{11}$ x $\frac{2}{10}$ x $\frac{1}{9}$ = $\frac{4 x 3 x 2 x 1}{12 x 11 x 10 x 9}$

2 or 3 or 4: $\frac{4 x 3 x 8 x 7}{12 x 11 x 10 x 9}$ + $\frac{4 x 3 x 2 x 8}{12 x 11 x 10 x 9}$ + $\frac{4 x 3 x 2 x 1}{12 x 11 x 10 x 9}$ = $\frac{672 + 192 + 24}{12 x 11 x 10 x 9}$ = $\frac{888}{12 x 11 x 10 x 9}$ = $\frac{111}{1485}$

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3 years ago

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