Answer:
The null hypothesis is 
The alternative hypothesis is 
Step-by-step explanation:
State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
At the null hypothesis, we test if the proportion is of at least 32%, that is:

We are testing if less than 32% of visitors make a purchase, so, at the alternative hypothesis, we test if the proportion is less than 32%, that is:

<h2>
Rate at which area is increasing is 1.08 m²/s.</h2>
Step-by-step explanation:
Area of triangle is with side a and b and angle C between them is given by
A = 0.5 ab SinC
Here we need to find how area changes with a and b fixed and C is changing,

We have
a = 8 m
b = 9 m

Substituting

Rate at which area is increasing is 1.08 m²/s.
Answer:
40 percent of the children that play soccer are girls in the league
Step-by-step explanation:
just divide 64/160 and get 40