Sin32.23= 8/15. This is the answer. I checked on the calculator
Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Answer:
14/4
Step-by-step explanation:
For this case we propose a system of equations:
x: Variable that represents the amount of hours that Olivia's mother drove
y: Variable that represents the amount of hours that Olivia's father drove
So, we have:

From the first equation we have:

Substituting in the second equation:

Thus, Olivia's father drove 3 hours.

Olivia's mother drove 11 hours.
Answer:

Answer:
.75 < 7/8
Step-by-step explanation:
Lets change the decimal to a fraction
.75 = 75/100
Divide the top and bottom by 25
75/100 = 3/4
Multiply by 2/2
3/4*2/2 = 6/8
6/8 < 7/8
so .75 < 7/8