4.375= 8.75h
4.375/8.75= h
0.5 = h
The value of k is 3
Solution:
Let us first find the equation of the line f(x).
The points on the line are (-6, -2) and (0, 4).
Here, 
Formula to find equation of a line:
Do cross multiplication.
y + 2 = x + 6
y = x + 4
f(x) = x + 4
Given that g(x) = f(kx)
g(x) = kx + 4
The point in the graph of g(x) is ( -2, -2).
g(-2) = k(-2) + 4
we know that g(-2) = -2.
-2 = -2k + 4
Subtract 4 from both sides.
-6 = -2k
Divide by -2 on both sides.
3 = k
k = 3
The value of k is 3.
the truth values of p q is equivalent to (p q) (q p)
Answer:
1. H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. test statistic = 32.625
3. p value = 0.2931
4. D
Step-by-step explanation:
s² = 0.0009
alpha = 0.05
σ² = 0.0008 this is the value that we would be testing
1. <u>hypothesis</u><u>:</u>
H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. <u>test </u><u>statistic</u><u>:</u>
X² = (n-1/σ²)s²
= ((30-1)/0.0008)0.0009
= 32.625
3. <u> </u><u>p-value:</u>
P(X² > 32.63) = 0.2931
4. <u>conclusion</u><u>:</u>
the p-value at 0.2931 is greater than alpha at 0.005, (0.2931>0.05). So the correct option is D. we do not reject H0. the sample does not support conclusion that the population variance specification is being violated.
