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4 years ago

Find x. Both questions are compound shapes please provide working out.

Mathematics

1 answer:

Paha777 [63]4 years ago

6 0

X should equal 8 because if you add the three numbers they give you. You will get 20 and the whole thing is 28

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What percent of 33 is 34

Viktor [21]

11.22 is 33% of 34 if that is what youre asking

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3 years ago

Read 2 more answers

A retiree invests 3,000 in a savings plan that pays 3% per year. What will the account balance be at the end of the first year

Lubov Fominskaja [6]

Interest earned = rate charged × amount invested

Interest = 3/100 × $3000 = $90

Account balance after one year = Amount invested + Interest earned

Account balance after one year = $3000 + $90 = $3090

7 0

3 years ago

Pizza Palace uses 0.5 pounds of cheese on each large pizza it makes. Part A write an equation to relate the number of pounds of

Juli2301 [7.4K]

Answer:

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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

How do you find the unit rate

Sergio039 [100]

Answer:

Step-by-step explanation:

To get the unit to equal 1, divide both numbers by the denominator; your answer is the number you get by dividing the numerator by the denominator. Use this method to calculate unit cost, too—you're calculating how much 1 item is worth, after you're given the amount that multiple items cost.

7 0

4 years ago