Slope of (-11,5) (-8,4)

Two thirds times three eighths

LekaFEV [45]

Answer:

1/4 or 0.25

Step-by-step explanation:

2/3*3/8=6/24=1/4

3 0

3 years ago

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David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on to

MAXImum [283]

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

4 0

3 years ago

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(-4)(-4) use an exponent to rewrite the expression

DiKsa [7]

For this case we have the following expression:
<span> $(-4)(-4) 
$
By properties of exponents we have:
Same basis, the exponents are added.
We have then:
$(-4)^{1+1}$
Then, rewriting the exponent we have:
$(-4)^{2}$
Therefore, an exponent to rewrite the expression is:
2
Answer:
$(-4)^{2}$
an exponent to rewrite the expression is 2.</span>

5 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

3 years ago

If you graph y=2x+1 and y=x+1 how many times would the two lines intersect

krok68 [10]

Given that they follow the format for straight lines and are therefore straight lines, they would only intersect once and that would be at (0,1) where they both have a y intersect.

Hope this helps :)

3 0

3 years ago