Answer:
1)
The point estimate for the proportion of college graduates among women who work at home is 0.327
2)
The 80% confidence interval is given by (0.315; 0.339)
Step-by-step explanation:
For this case we have the following info given:
represent the women who worked at home who were college graduates
the sample size selected
Part 1
In order to find the proportion of college graduates among women who work at home and we can use the following formula:

The point estimate for the proportion of college graduates among women who work at home is 0.327
Part 2
Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <
The confidence interval for the true proportion would be given by this formula
For the 80% confidence interval the value for the significance is
and
, the critical value would be given by:
And replacing we goot:
The 80% confidence interval is given by (0.315; 0.339)
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways
,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways
,
Now,
Substituting values,
We get,

We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
Learn more about arrangements here
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You could use the isosceles triangle theorems. if two sides of a triangle are congruent, then then angles opposite those sides are congruent. so if the two sides of the triangle are congruent (which they should be if it’s an isosceles triangle) then the isosceles triangle theorem proves that the base angles are congruent
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The fraction is an improper fraction (the numerator is greater than the denominator). The whole number part of the mixed number is found by dividing the 24 by the 9. The fractional part of the mixed number is found by using the remainder of the division, which in this case is 6 (24 divided by 9 is 2 remainder 6).