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AleksAgata [21]
3 years ago
11

If the function f(x)=x^3 has the domain {-3, 0, 2, 4}, what is its range?

Mathematics
1 answer:
mash [69]3 years ago
8 0

Answer: {-16,4,92}. 2) {-16,10 ,42}. 3) {0,10,42}. 4) {0,4,92}. 5 The function f(x) = 2x. 2 + 6x - 12 has a domain.

Step-by-step explanation:

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Jason is mikes older brother. the sum of their ages is 25. the differnece in their ages is 7 write the system of equation that r
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Answer:

Equation 1: m+j=25

Equation 2: j=m+5


I hope this helps! Good luck! <3


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3 years ago
Please help I need you​
mario62 [17]

Answer:

The answer is B.

Step-by-step explanation:

Diameter x Pi = Circumference

8 x 3.14 = 25.12

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3 years ago
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Dannielle's test grades are 83, 92, 99, 86 and 90. What is the<br> median of her grades?
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Answer: 90

Step-by-step explanation:

83, 86, 90, 92, 99

90 is in the middle <3

5 0
3 years ago
5(2/5) how to solve it?
mina [271]

Answer:

2

Step-by-step explanation:

Solve. Technically, there are two methods. You can first multiply, or first divide.

Essentially the question is:

(5 * 2)/5

or

2 * (5/5)

Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:

(5 * 2)/5 = (10)/5 = 2

2 * (5/5) = 2 * 1 = 2

2 is your answer.

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5 0
3 years ago
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Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, 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 normally distributed 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.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

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

By the Central Limit Theorem

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

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

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

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0
3 years ago
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