Answer: Choice A
Step-by-step explanation:
The correct answer is choice A. The equation 81 - a is doing exactly what the question is asking for. It represents 81 minus an unknown number, with the unknown number being shown as a.
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim
Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:

So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:

Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴

= 2.02955
Answer:
x = 10
Step-by-step explanation:
If you add the angles up, you get 110, so the missing angle is 70. It is an isosceles triangle. The bottom length should be about 11.