Hey there!
We'll use our keyword
of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.
In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:

Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:

Hope this helps!
Answer:
x=-8
Step-by-step explanation:
Subtract 2 from both sides
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Subtract 2x from both sides
Simplify
Answer:
4
Step-by-step explanation:
The z-score is calculated by the following formula
z=(x-μ)/σ
where
μ=Population mean
σ=Population standard deviation
If the z-score for a specific sample mean is discussed then z-score is computed as
z=xbar-μ/σxbar.
where
μ=Population mean
σxbar=Sample standard deviation
As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.
Now, the z-score is given
1.5=xbar-μ/σxbar
σxbar=xbar-μ/1.5.
Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.
σxbar=6/1.5
σxbar=4.
Thus, the required sample standard deviation is 4.
Answer:
Hello!
An irrational number is all the real numbers which are not rational numbers.
M =
is a irrational number.
N =
is a irrational number.
S = 2 is not irrational, and is actually a whole number.
T = 5 is not irrational, and is actually a whole number.
Have a great day!
I hope this helps! <33