Step-by-step explanation:
2 right triangles are formed.
x is the angle btw wire and grnd
tan x = 10/5 = 2
tanx = ht of tower/(5+14)
2 = tower ht/19
tower ht = 38
length of wire =

Remember you can do anything to an equation as long as you do it to both sides
x+9=18-2x
add 2x to both sides
2x+x+9=18+2x-2x
3x+9=18+0
3x+9=18
minus 9 both sides
3x+9-9=18-9
3x+0=9
3x=9
divide both sides by 3
(3x)/3=9/3
(3/3)x=3
1x=3
x=3
Answer:
C. They have the same chance of winning.
Step-by-step explanation:
Probability (2 tails) = 1/2 * 1/2 = 1/4
Probability( 2 heads = 1/2 * 1/2 = 1/4.
Therefore the Probability they match = 1/4 + 1/4 = 1/2.
The probability of they don't match = 1 - 1/2 = 1/2 because all probabilities add up to 1. There are only 4 possible results and their probabilities must add up to 1.
Answer:
93.32 %
Step-by-step explanation:
33.2 is 1.2 away from 32 this is 1.2 / .8 = 1.5 standard deviations ABOVE the mean z -score = + 1.5
from z-score table this corresponds to .9332 this is 93.32 %
Answer:
88.46%
Step-by-step explanation:
433 - 383 = 50
50 ÷ 433 = 0.1154
0.1154 x 100 = 11.54%
100% - 11.54% = 88.46%
<u>Check work:</u>
433 x 88.46% = 383