Step-by-step explanation:
a) 8x + 5x = 13x
b) 9f + 10f - 12f = 7f
hope it helps...
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:

Answer: The center is (5,-1) and radius is 6.
Step-by-step explanation: The equation: (x-h)^2+(y-k)^2=r^2 is really important. Since we have 36 equal r^2, square root it to get 6. And the center would be 5, because (x-5) but do the opposite operation, same for y+1.
Answer:
27.7 cm
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side in a right triangle to the hypotenuse. Here, that means ...
cos(30°) = y/(32 cm)
y = cos(30°)·(32 cm) ≈ 0.866·(32 cm)
y ≈ 27.7 cm
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