Answer:
Step-by-step explanation:
<u>Problems given:</u>
- - 2000 + 20.5 = - 1979.5 ≈ -1980.0 ⇒ 3 significant figures
- - 106.2 + 54.07 = - 52.13 ≈ -52.1 ⇒ 3 significant figures
Zeros at the end are not counted as significant figures
Answer:
We conclude that the mean strength is equal to 3400 psi.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 3400 psi
Sample mean, = 3450 psi
Sample size, n = 12
Alpha, α = 0.051
Population standard deviation, σ =75 psi
First, we design the null and the alternate hypothesis
We use one-tailed(right) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to reject the null hypothesis and accept the null hypothesis. Thus, we conclude that the mean strength is equal to 3400 psi.
We have been given a parent function and we need to transform this function into .
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to .
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes .
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
C = 2πr
c/2π = 2πr/2π <--divide both sides by 2π
c/2π = r
r = c/2π <-- answer :)