Answer: <2 = 76 degrees, <3 = 104 degrees
Step-by-step explanation:
Angle 2 equals 76 degrees as well because Angle 8 and 2 are alternate interior angles.
Angle 3 and 8 are same side interior angles, which means they sum to 180 degrees.
Therefore, angle 3 = 180-76 = 104 degrees.
Answer:
C
Step-by-step explanation:
5 1/2 pages in 12 minutes
There are 5 sets of 12 minutes in 1 hour
5 1/2 x 5 = 27 1/2
Therefore she would read 27 1/2 pages in 1 hour
Thats essentially how i did it - sorry if its not a very good explanation.
Answer:
x ≈ 11.3
Step-by-step explanation:
Using the sine ratio in the right triangle
sin45° = 
= 
( multiply both sides by x )
x × sin45° = 8 ( divide both sides by sin45° )
x = 
≈ 11.3
Answer:
its B
Step-by-step explanation:
pls do not listen to the other person
you have to add the tax so multiplying the two together instead of just adding them would get the same number
(also x+0.05x is literally 1.05x anyway)
hope this helps <3
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)
