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
The answer is 254.35 in square
Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
Step-by-step explanation:
In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.
If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.
Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours
Now, using formula of speed = distance/time
It means that the average speed of the person is 4 km/h. Hence, the given statement is true.
