Please help me with d.
1 answer:
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Answer:
- z for 184 = -2.2
- P(z < -2.2) ≈ 1.4%
- z for 200 = -0.6
- P(z < -0.6) ≈ 27.4%
- P(184 < x < 200) ≈ 26.0%
Step-by-step explanation:
Z is computed from ...
... z = (x -μ)/σ
Our lower limit for x is 184, so its z-value is ...
... z = (184 -206)/10 = -22/10 = -2.2
Our upper limit for x is 200, so its z-value is ...
... z = (200 -206)/10 = -6/10 = -0.6
A suitable table or probability calculator can tell you ...
... the percent of area associated with z = -2.2 is about 1.4%. That is, about 1.4% of all values lie below z = -2.2.
... the percent of area associated with z = -0.6 is about 27.4%.
The fraction of expenses between $184 and $200 is then calculated to be ...
... 27.4% - 1.4% = 26.0%
We are given the function:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
)
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here: