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guapka [62]
3 years ago
11

Find the unit rate with the second given unit in the denominator.

Mathematics
1 answer:
Korolek [52]3 years ago
8 0
If 9 pizzas cost $67.50 that means that 1 pizza costs 67.50/9 = $7.5

Answer A is incorrect because of false prize of pizza.

B isn't correct because 1 pizza cost $7,5 and not 7,5 pizzas cost $1

C isn't answer because of both reasons from answer A and answer B

D is the answer because it says that you need to pay $7.5 per pizza.
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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 x=7 and y=3 what is the value of x+5y<br><br> i need help
aksik [14]

If x=7 and y=3, then

x+5y=7+5(3)

5(3)=15

15+7=22

So x+5y=22

8 0
3 years ago
Read 2 more answers
21-7x=7(3-x)<br> Solve this please!!!!!!!!!!
Hunter-Best [27]

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

3 0
3 years ago
Read 2 more answers
What is the difference between 25 centimeters and 25 milimeters
Sunny_sXe [5.5K]
<span>1 cm = 10^(-2) m
 large differnce
 25cm = 25*10^(-2) m or 0.25m

</span>
5 0
3 years ago
Which is the better deal?
aliina [53]

Answer:

36 oz

Step-by-step explanation:

Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.

12oz = $1.99

36oz/3 = 12oz   so $2.59/3   = $ .86

48oz/4= 12oz   so $3.99/4  = $1.00

60oz/5= 12oz   so $4.59/5 = $ .92

So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.

3 0
3 years ago
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