The triangles shown are similar. Which is an appropriate similarity statement for the triangles?
2 answers:
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Answer:
d. t distribution with df = 80
Step-by-step explanation:
Assuming this problem:
Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:
a. t distribution with df = 82.
b. t distribution with df = 81.
c. t distribution with df = 41.
d. t distribution with df = 80
Solution to the problem
When we have two independent samples from two normal distributions with equal variances we are assuming that
And the statistic is given by this formula:
Where t follows a t distribution with degrees of freedom and the pooled variance
is given by this formula:
This last one is an unbiased estimator of the common variance
So on this case the degrees of freedom are given by:
And the best answer is:
d. t distribution with df = 80
The radius of the given circle is 2.84 units
Step-by-step explanation:
Step 1 :
Given
The perimeter of a quarter table is 17.85
We need to find the circle's radius.
Step 2 :
The circle's perimeter is given by the formula, 2 r where r represents the circle's radius
So from this we have ,
2 r = 17.85
We can determine the radius by dividing the perimeter value by 2
= > r = 17.85 divided by 2 r
= 2.84 [ taking =
]
Step 3 :
Answer :
The radius of the given circle is 2.84 units