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Alexxandr [17]
3 years ago
5

What is the diameter of a circle with an area of 100 pie square feet

Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer: diameter =20ft

Step-by-step explanation:

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A gas has a volume of 5.0 L at a pressure of 50kPa. What happens to the volume when then the pressure is increased 125kPa. The t
Olegator [25]

9514 1404 393

Answer:

  volume goes to 2.0 L

Step-by-step explanation:

At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.

  volume = 5.0L / 2.5

  volume = 2.0 L

7 0
2 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
Can someone please help me with this
Nesterboy [21]

Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

5 0
2 years ago
How to simplify 56/80
Pepsi [2]
Divide both of them by 8
the answer would be: 7/10
hope that helps :)
3 0
3 years ago
Read 2 more answers
Write a positive or a negative number ro repersent each situation
RSB [31]

Answer:

Is this multiple choice

Step-by-step explanation:

8 0
3 years ago
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