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madam [21]
2 years ago
7

Triangle has side lengths of (9k – 4m) centimeters, (8k + 3n)

Mathematics
1 answer:
Olegator [25]2 years ago
5 0
Combine the k’s 17k
Combine the m’s -8m
Combine the n’s 12n
17k-8m+12n
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The probability that Asha will lose a game is 4/9. If it is impossible to tie, what is the probability that Asha will win the ga
Fofino [41]
The probability of her winning a game would be 5/9 because if she loses 4/9 games then 5/9 games must be wins.
4 0
2 years ago
Find the value of the function f (x) = -3x + 17 for x = 5.
ss7ja [257]

Answer: 17/3

Step-by-step explanation:

7 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
How do you do this??
Alex777 [14]

The formula for the circumference of a circle = 2 x radius x pi

The radius is given as 21 cm and pi = 3.142

Circumference = 2 x 21 x 3.142 = 131.964 cm

6 0
2 years ago
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How do you write an equation in slope intercept form for the line with slope 4 and y-intercept 6
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Using the general form; y = mx + b, we get:
y = 4x + 6
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3 years ago
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