Step-by-step explanation:
If we let the width be w, then the length is w+3.5.
This means that w(w+3.5)=11
w^2 + 3.5w - 11 = 0
2w^2 + 7w - 22 = 0 (multiply both sides by 2)
(2w+11)(w-2)=0
w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)
This means that w=2, and thus the length is 2+3.5=5.5
Answer:
You cannot simplify this problem down anymore; it is at its simplest form.
Step-by-step explanation:
You cannot add together x^4 and x^2 due to the simple fact that they do not share similar exponents.
For example you could add together x^4 and x^4 to get 2x^4. But you cannot add x^4 and x^2.
Answer:
$9600 saving / year
Step-by-step explanation:
1/5 of $21000 = 21000 / 5 = $4200 / month on rent
3/7 of $21000 = (21000 / 7) x 3 = $9000 / month on food (shocking right :) food is expensive)
1/3 of $21000 = 21000 / 3 = $7000 on other expenses / month
total savings/month = salary/month - rent/month - food/month - other expenses/month
total savings/month = 21000 - 4200 - 9000 - 7000
total savings/month = $800
<u><em>BUT</em></u> the question asks for savings per year. therefore, we must multiply the savings per month by total months per year (12)
800 x 12 = $9600
the person's total savings per year, with a salary of $21000 per month, is equal to $9600 per year
Answer: 0.84
Step-by-step explanation:
let p be the population proportion of adults who smoked a cigarette in the past week.
As per given , we have
Sample size : n= 1491
The sample proportion of adults smoked a cigarette= 
The test statistic for proportion is given by :-
Substitute all the values , we get
Hence, the value of the test statistic = 0.84
