Answer:
Equation: 2x + 3x + 10 = 180
x = 34
Top angle = 68 degrees
Bottom angle = 112 degrees
Step-by-step explanation:
The two angles add to 180, so set them equal to 180.
2x + 3x + 10 = 180
5x + 10 = 180
- 10 - 10
5x = 170
/ 5 / 5
x = 34
Plug x into angles,
2(34) = 68
3(34) + 10 = 112
For this, you multiply the 12 two point shots she made to see how many points she earned
12 x 2 = 24
now you will subtract the 24 from 27 to find out how many points are left
27 - 24 = 3
this means she made 12 two point shots (worth 24 points) and 1 three point shot (worth 3 points) to total up as her 27 points:)
Complete Question
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?
A) State H_0 and H_a, (5 pts)
B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)
Expert Answer
Answer:
a)

b) We fail to reject Null hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size n=100
No. with blistered x=11
a)
Generally the Hypothesis given as


b)
Since p=0.10
Therefore


Test statistics



From table

Therefore
P-value >0.04 significance level
Hence,We cannot conclude that at
significance level the proportion is greater than 
We fail to reject Null hypothesis
Answer:
Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Step-by-step explanation:
Look at the picture.
(x ; y)
x < 0 - move x units left
x > 0 - move x units right
y < 0 - move y units down
y > 0 - move y units up
Answer:
3x + 2y = 315 -----(1)
2x + 4y = 450 -----(2)
from (1) 3x + 2y = 315
2y = 315-3x
y = 157.5 - 3/2x ---- (3)
substitute (3) into (2)
2x + 4y = 450
2x + 4(157.5 - 3/2x ) = 450
2x + 630 - 6x = 450
-4x = -180
x = 45 ---- (4)
substitute (4) into (3)
y = 157.5 - 3/2x
y = 157.5 - 3/2(45)
y = 90
a haircut,x = 45 minutes
dye hair,y = 90 minutes