Answer:
There is sufficient evidence at 0.05 significant level to support company's claim.
Step-by-step explanation:
We have these informations from the question
n = 1400
P^ = 31% = 0.31
Alpha level = 5% = 0.05
Then we come up with the hypothesis
H0: P = 0.28
H1: P>0.28
From here we calculate the test statistic
z = p^ - p/√pq/n
P = 0.28
q = 1-0.28
= 0.72
z = 0.31-0.28/√(0.31*0.72)/1400
= 0.03/√0.0001594
= 0.03/0.012
= 2.5
Then we have a p value = 0.00621
The p value is less than significance level
0.00621<0.05
So the null hypothesis is rejected.
We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Answer:
<em>I</em>(-1,3)
Step-by-step explanation:
Moving 3 units left adds -3 to x value
Moving 6 units up adds 6 to the y value
2 - 3 = -1
-3 + 6 = 3
(-1,3)
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Answer:
The solution is:
Step-by-step explanation:
Given the expression
Solving
so
∵ 
Therefore, the solution is:
Increase : 29.96
Decrease: 26.04
