Answer:
Part A: Profit = 400 + 70 s, Part B : $3900
Step-by-step explanation:
Part A:
We know that the expression is: 0.2 ( 2000 + 350 s ). Using the distributive property :
Profit = 0.2 · 2000 + 0.2 · 350 s = 400 + 70 s
Part B :
The company's yearly profit when: s = 50 ( the total number of students )
P ( 50 ) = 400 + 70 · 50 = 400 + 3500 = $3900
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)
Since they are congruent, corresponding sides and angles are also congruent
AB=DE
The answer to 1 is common multiple. And the answer to 2 is common denominator
Answer/Step-by-step explanation:
Given that ∆GHJ is congruent to ∆XYZ, this:
<G = <X,
<H = <Y = 38°
<J = <Z,
GH = XY = 27 ft
HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)
GJ = XZ = 18 ft
a. GJ = 18 ft
b. XY = 27 ft
c. ZY = 27 ft
d. m<H = m<Y (corresponding angles)
m<H = 38° (substitution)
e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)
m<Z = 142/2
m<Z = 71°
f. m<J = m<Z (corresponding angles)
m<J = 71° (substitution)