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Alexxx [7]
3 years ago
9

How do I work this out? f(x) =-32x^2+25x+3​

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0
You can use the quadratic equation or factoring. Just look up the quadratic equation and plug in the numbers from the problem
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The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size, of at least 30, can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

8 0
3 years ago
1 more than twice as many CDs is 17
Zinaida [17]

Answer:

original number is 8

Step-by-step explanation:

3 0
2 years ago
$2,500 for 25 years at<br> 2.75% annual simple<br> interest
xxMikexx [17]

Answer:

4,218.75

Step-by-step explanation:

Lets say that P is your starting principal (spelled -pal and not -ple, because Your Money is Your Pal), r is the interest rate (expressed as a decimal), and Y is the number of years you invest. Then your future value will be:

P (1 + rY) (Simple Interest)

P (1 + r)Y (Annually Compounded Interest)

Note the two formulas give the same answer for one year. After that, compound interest takes off.

3 0
3 years ago
What does the expression ∙ represent?
nirvana33 [79]
I think you are missing something, what expression?

If you mean the • dot, it means multiplication.
3 0
3 years ago
Read 2 more answers
Which equation can be used to find the perimeter of a regular pentagon with sides of length 15 inches?
tresset_1 [31]
The perimeter means the sum of all sides.
So, In pentagon, it would be: 5(15)   [ With five sides ]

In short, Your Answer would be Option C

Hope this helps!
3 0
3 years ago
Read 2 more answers
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