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:

Answer:
282.7
Step-by-step explanation:
surface area of cylinder = 2πR² + 2πRh
R = 3 cm
h = 12 cm
surface area of cylinder = 2π*3² + 2π*3*12 = 90π ≈ 90*3.14 ≈ 282.7 (cm²)
Answer: The value of BD will be 50 units.
Step-by-step explanation:
Since we given that
B is the midpoint of AC and D is the midpoint of CE .
and

Now, we will use the second equation, we get

So, BD will be

Hence, the value of BD will be 50 units.
Answer:
(-5, 4]
Step-by-step explanation:
Range is the set of possible outputs for a function within the given domain. It is usually represented in terms of minimum and max values
In the graph, the minimum value is -5 (not including this value) and this occurs at x = 3; the max value is 4 at x = 0
So range is -5 < x ≤ 4
which in interval notation is
(-5, 4]
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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ The general equation of a line if y = mx + c
m is the slope and c is the y intercept
As per this equation, the slope is -3 and the y intercept is 9
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