Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:

Then the bounds of the interval are found as follows:


More can be learned about the z-distribution at brainly.com/question/25890103
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We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.
10/12, 7/12, 5/12 -- Check decreasing
3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases
6 5/7, 6 3/7, 5 2/7 - Check, decreasing
11 7/10, 11 6/10, 10 3/10 -- Check, decreasing
Answer: A,C,D
Answer:30
Step-by-step explanation:the initial statement is
y ∝ x
to convert to an equation multiply by k the constant
of variation
⇒ y = k x
to find k use the given condition
y = − 24 when x = 8 y = k x ⇒ k = y x = −22
∣
∣
∣22 y = − 3 x 22
∣∣∣
−−−−−−−−−−−−−−
when x = 10
then y = − 3 × 10 = −30