Step-by-step explanation:
a. First, find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 12.5
z = 0.48
Use a calculator or table to find the probability.
P(z < 0.48) = 0.6844
b. Find the standard deviation of the sample.
σₓ = σ / √n
σₓ = 12.5 / √4
σₓ = 6.25
Find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 6.25
z = 0.96
Use a calculator or table to find the probability.
P(z < 0.96) = 0.8315
c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.
X to the second power equals 14 is the same as:
we can take the square root of both sides to get:
because we cannot simplify the 14 inside the square root symbol, our final answer is
Answer:
Balance after the withdrawals and deposit = $52.6Step-by-step explanation:
Savings account balance = $135.10
Total withdraws = $60 + $45 = $105
Deposit = $22.50
Balance after the withdrawals and deposit = Savings account balance + Deposit - Total withdraws
= $135.10 + $22.50 - $105
= $52.6
Answer:
a. x
b. 35
c. 45
d. y
Explanation:
a. The independent variable is not dictated by any other variable. x is the only variable here that fits that description is x.
b. A coefficient is a constant that multiplies any variable. 35 multiplies x, so it is a coefficient.
c. A constant is a number that cannot change and isn't a coefficient. 45 cannot be changed.
d. The dependent variable is dictated by other variables. y is dictated by x, so it is the dependent variable.
745/x=100/36
<span>(745/x)*x=(100/36)*x
</span><span>745=2.7777777777778*x
</span>(2.7777777777778) to get x
<span>745/2.7777777777778=x </span>
<span>268.2=x </span>
<span>x=268.2
</span>
answer <span>36% of 745=268.2</span>
