Answer:
The measure of the angle is 36°
Step-by-step explanation:
Let the measure of angle be x
Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles
So, Supplement of x = 180°-x°
Complementary angles A pair of angles whose sum is 90° is called complementary angles
So, Complement of x = 90°-x°
We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle
So, 3(180-x)=8(90-x)
540-3x=720-8x
8x-3x=720-540
5x=180
x=36
So, the measure of the angle is 36°
1 cm = 20 km
so 3.5 cm would equal : 3.5 * 20 = 70 km <==
Answer: (a)
(b) The best point estimate of is the sample mean
The margin of error = 4.552
Step-by-step explanation:
Given : The confidence interval for the population mean = (13.046 , 22.15)
Sample mean :
Standard deviation :
Sample size :
a. Let represents the population mean.
Then we can write the confidence interval for the population mean as :-
b. The best point estimate of is the sample mean
Also, the lower limit of confidence interval can be written as
i.e.
Hence, the margin of error = 4.552
c. 35 + 50x ≤ 1,325
Step-by-step explanation:
Abbey's total cost must be less then or equal to her total savings, i.e.
cost ≤ savings
it is given that cost = fixed registration fee and a monthly fee of $50 per month. Hence,
fixed registration + (monthly fee)*(number of months) ≤ savings
let the number of months be x,
hence
35 + 50x ≤ 1325(c)