Answer:
18.3
Step-by-step explanation: Here i'll give you my notes for finding original price
1. make the percent into a decimal
2. subtract the decimal by 1
3. divide the number you just got and the decimal you got from the first step
Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
using trigonometry:-
cos of angle ? = 7/16
so ? = arccos 7/16 = 64.06 degrees
The other angle is 90 - 64.06 = 25.94 degrees
Answer:
a−4b
Step-by-step explanation:
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
have a great day
Answer:
m = 8 Please brainliest!
Step-by-step explanation:
Simplifying
7m + -6m = 8
Combine like terms: 7m + -6m = 1m
1m = 8
Solving
1m = 8
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Divide each side by '1'.
m = 8
Simplifying
m = 8