11.11111111
you can round your answer
divide 27 by 9 you get 3
divide hundred by 9
you get your answer
Answer:
m∠C = 26°
m∠D = 108°
m∠E = 46°
Step-by-step explanation:
Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)
(2x) + (x+3) + (5x-7) = 180
Remove the parentheses
2x + x+ 3 + 5x - 7 = 180
Add like terms
8x - 3 -7 = 8x -4 = 180
8x - 4 = 180
Add 4 on each side to cancel it out on the right
8x - 4 = 180
+4 = +4
8x = 184
Divide each side by 8 to get the variable by itself
8/8 =1 184/8 = 23
x = 23
Substitute x in eac expression
2x = 2(23) = 46°
x + 3 = 23 + 3 = 26°
5x - 7 = 5(23) - 7 = 115 -7 = 108
Chek it by adding all the degrees to make sure it equals 180
46 + 26 + 108 = 72 + 108 = 180
<span>4(3-2x)=22
4(3) - 4(2x) = 22
12 - 8x = 22
8x = 12 - 22
8x = -10
x = -10/8 = -5/4
or
x = -1.25</span>
Answer:
6.17
Step-by-step explanation:
The question requires stating the Null and Alternative hypothesis for the scenario described :
Answer:
H0 : μ = 24
H1 : μ < 24
Step-by-step explanation:
The claim or hypothesis to be tested in a statistical problem or analysis is the alternative hypothesis. This is usually the opposite of the Null hypothesis which is the usually the initial truth until there is significant evidence provided using statistical test to prove otherwise.
The null hypothesis, H0 in the scenario above is :
H0 : μ = 24 ( average battery life is 24 hours)
The alternative hypothesis is the claim, that is. The mean battery life not up to 24 hours ;
H1 : μ < 24
