HELP PLASE<3
2 answers:
Answer:
Option B is correct.
The point which lies on the new graph g(x) is, (-3, 7.5)
Step-by-step explanation:
For a base function f(x), a new function g(x) = cf(x) is vertically stretched by a factor c if c> 1.
Given the parent function: f(x) =|x|
Now, by vertically stretched definition,
A function f(x) is vertically stretched by a factor of 2.5 then; we have the new function or new graph i.e,
g(x) = 2.5 f(x) where c=2.5 > 1
therefore, g(x) =2.5|x|
We have to find which point lies on the new graph;
Option A:
(-4 , -4)
Here x = -4 and g(-4) = -4
-4 = 10 False.
Option B:
(-3 , 7.5)
g(x) = 2.5|x|
7.5 = 7.5 True.
Option C:
(-2 , 5.5)
5.5 = 2 False.
Option D:
(-1 , -2.5)
-2.5 = 2.5 False
Therefore, from above you can see that the only point which is true for the new graph is, (-3 , 7.5)
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Answer:
The answers to the questions are
(a) P = 0.0176
(b) P = 0.5
(c) P = 0.0571
Step-by-step explanation:
The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true
The p value is given by
P ( = 185 when μ = 175)
z =
z( = 185) =
= 1.5811
Therefore the P ( = 185 when μ = 175) = P(z = 1.5811)
0.94295
The probability density function is
Therefore the probability is
= 0.0176
b) The type II error is given by
β = P(type II error) = P(Fail to reject the null hypothesis when it is false)
Therefore
β = P ( < 185 when μ = 185)
P, which gives
P(z<0) and β = 0.5
(c) For true mean foam height of 195 mm we have
β = P ( < 185 when μ = 195)
and P
Which gives P(z < -1.58)
From z table the probability is β = 0.0571