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laiz [17]
3 years ago
12

How do I find the critical points?

Mathematics
1 answer:
podryga [215]3 years ago
5 0
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:

\frac{d}{dx}(x^{2} - 1)^{3}

So we apply chain rule:

= 3(x^{2} - 1)^{2} * 2x

Set our first derivative to zero and solve for x:

3(x^2 - 1) * 2x = 0

So we can see that (by plugging in) 0, -1 and 1 makes our solution true

So our critical value is x = 0, x = -1, x = 1
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Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women
loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 65, \sigma = 2.5

By the central limit theorem, the sample of 16 will have:

\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0
2 years ago
Your family is traveling to Mexico on vacation. You have
ycow [4]

Answer:

5960 pesos

Step-by-step explanation:

We can write a proportion

298 pesos --- $25

x pesos      --- $500

x=298*500/25 = 298*20 = 5960 pesos

8 0
3 years ago
Read 2 more answers
Use the rules of exponents to evaluate or simplify. Write without negative exponents.
koban [17]

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any non-zero number to the zero power is 1.

  3.4^0 = 1

4 0
3 years ago
A room contains 3 men and 5 women. A person leaves then re-enters the room 6 times, and 5 of those 6 times a man leaves the room
kondor19780726 [428]
5 of the 6 exits were men, so the experimental probability that a man exits the room is 5/6.
7 0
2 years ago
Find the area of a parallelogram with base b and height h b=74 cm h=14.8 cm
dexar [7]

The answer is A. 88.8 cm2

Work:

74 x 2 = 148

14.8 = 29.6

Add them = 177.6

then \frac{177.6}{2} = 88.8

5 0
3 years ago
Read 2 more answers
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