Answer:
Option A) 0.0074
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 110
Sample mean,
= 20
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 115.35
First, we design the null and the alternate hypothesis
We use two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value from the standard normal table.
P-value = 0.0074
Thus, the correct answer is
Option A) 0.0074
Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24
inches
We need to find area of table top
The formula used to find area is: 
We need to find radius of tabletop.
The formula used to find circumference is: 
Putting value of circumference we can find radius

So, radius of table top = 12
Now, finding the area:

So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Answer:(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .
Step-by-step explanation:
Answer:
810
Step-by-step explanation:
hope it help you ☺☺....
No. Terrell is not correct. Terrell is incorrect. The method he offers is
inappropriate, inapplicable, and lacks veracity, and as a mathematician,
Terrell himself is devoid of integrity. If his method is implemented, it
cannot accurately compute the capacity of Dominic's water jug in fluid
ounces. It will produce a number that is inaccurate, fallacious, mistaken,
erroneous, and incorrect. Moreover, the solution will be wrong.
If the units are carried through with the calculation ... as always they must ...
then it will immediately become clear that Terrell's method has produced a
solution with units of "square quarts per ounce", whereupon any witnesses
should justifiably become nauseous. Terrell's method should be disdained,
rejected, discarded and ignored.
==> 1.25 should not be "divided" by 32.
==> Instead, 1.25 should be multiplied by 32.
The modified method will produce a result with units of "fluid ounces" ...
the first indication to the assembled multitude that whatever the number
is, there is a reasonable chance that it could be a correct one.