a)
his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.
b)
his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.
btw he's not making much either way.
Solve for r.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Hello!
Research.
n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.
18, 23, 24, 22, 19, 27, 23, 26, 25
Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.
a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.
b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:
H₀: μ = 20
H₁: μ ≠ 20
This is a two-tailed test, meaning, you will have two critical regions.
d.
α: 0.05
Left critical value:
Right critical value:
e.
X[bar]= 23
S= 3
f.
Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.
I hope it helps!
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
For this formula, we need the radius of the sphere. Divide the diameter by 2:
The radius is 9 inches. Plug this into the equation:
Simplify the equation:
Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256
