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Andrei [34K]
3 years ago
14

What is the simplified form of 5x-9x

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

-4x

Step-by-step explanation:

5x - 9x

Factor out x

x( 5-9)

x ( -4)

-4x

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The rule that maps each domain value to its range value is f(x)= ___x.
kirill115 [55]

Answer:

f(x) = 1/2x

Step-by-step explanation:

When x = -4  the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

3 0
3 years ago
Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose
spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

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 normal distributions can be 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The home team therefore wins 50% of its games

This means that p = 0.5

Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Sample of 80 means that n = 80 and, by the Central Limit Theorem:

\mu = p = 0.65

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559

This probability is 1 subtracted by the pvalue of Z when X = 0.65. So

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

By the Central Limit Theorem

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

Z = \frac{0.65 - 0.5}{0.0559}

Z = 2.68

Z = 2.68 has a pvalue of 0.9963

1 - 0.9963 = 0.0037

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

7 0
2 years ago
Hello is it anyone up here that can help me with my question please
jok3333 [9.3K]
Simple interest is basically the cost of borrowing money over a period of time.  So if you have borrowed $110.00 at 5% for two years, you will multiply the 5% by the two years (presuming that it is 5% annual percentage rate (APR).  So, You will multiply the 110 by 10% (or .1) to get $11 dollars of simple interest.
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2 years ago
Number 19 and 20 help someone
Semmy [17]
Omg I have the same page as you. But here’s the first one for number 19

5 0
3 years ago
Read 2 more answers
Please help me with this
rusak2 [61]

Answer: It would be the second answer that says SSS.

Step-by-step explanation: Side MK and MN are congruen. Side JN and JK are also congruen. Since both triangles share the line MJ, it’s congruent based on the reflexive property.

4 0
3 years ago
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