Answer:
Being p1 the proportion for people of ages 36-50 and p2 the proportion for people of ages 21-35, the null and alternative hypothesis will be:

Step-by-step explanation:
A hypothesis test on the difference of proportions needs to be performed for this case.
We have two sample proportions and we want to test if the true population proportions differ from each other, usign the information given by the sample statistics.
The claim is that the proportion of people of ages 36-50 who own homes is significantly greater than the proportin of people age 21-35 who own homes.
The term "higher" will define the alternative hypothesis, that is the hypothesis that represents what is claimed. The null hypothesis always include the equal sign, and will state that both proportions do not differ.
Being p1 the proportion for people of ages 36-50 and p2 the proportion for people of ages 21-35, the null and alternative hypothesis will be:

Easy peasy
the fastest way is to pretend we have 1 big rectangle with 2 smaller rectangles cut out
see attachment
the big one is 12 by 7
the smaller ones are 5 by6 and 5 by 6
big-smaller=area
big=12*7=84
smaller=5*6+5*6=30+30=60
big-smaller=84-60=24
answer is 24 in²
first choice
Well I don't know. Let's find out.
When you say (3,13), that means 'x' is 3 and 'y' is 13.
We'll plug those into the equation, and see if the equation is a true statement.
y = 4x
13 = 4 (3)
4 (3) means 4 x 3, and that's 12.
So the equation says 13 = 12 .
Is that a true statement ?
I don't think so.
So (3, 13) is NOT a solution of y = 4x
Answer:
109.5°
Step-by-step explanation:
I made a 90% on the test. This is the correct answer.
Answer:
Step-by-step explanation:
Equation:
x^3 + 7x^2 - 36
Given that:
x1 = -6
x2 = 2
x3 = z
Let the zeros be,
x + 6, x - 2
Multiplying both of these factors ,
(x + 6) × (x - 2)
x^2 + 6x - 2x - 12
= x^2 + 4x - 12
Dividing the polynomial, x^3 + 7x^2 - 36 with the above quadratic equation,
We get:
x^3 + 7x^2 - 36 ÷ x^2 + 4x - 12
= x + 3
z; x + 3 = 0
x = -3
z = -3
-z = 3