Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Step-by-step explanation:
Eliminate the x:
Eliminate the y:
Answer:
i think 480 total calories
Step-by-step explanation:
i wish it's true
2(3m-6+3m)=2m+2-4m
6m-12+6m=2m+2-4m
12m-12=-2m+2
14m-12=2
14m=14
m=1
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)
