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3 years ago

What is 6P6 ? 36 46,656 720 1

Mathematics

1 answer:

harina [27]3 years ago

6 0

9514 1404 393

Answer:

6P6 = 720

Step-by-step explanation:

The notation nPk is shorthand for ...

n!/(n-k)!

So your expression

6P6 = 6!/(6-6)! = 6!/0! = 720/1 = 720

_____

The ! is pronounced "factorial." The factorial of a positive integer is the product of that integer and every smaller positive integer. 0! is defined as 1.

6! = 6·5·4·3·2·1 = 720

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Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and ear

pogonyaev

Answer:

13.75

Step-by-step explanation:

The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):

(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.

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3 years ago

The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round yo

prohojiy [21]

Answer:

Equation: $Height = \frac{75}{Area}$

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

$Volume = 75\ in^3$

Required

Determine the Height

Volume is calculated as thus;

$Volume = Area * Height$

Substitute 75 for Volume

$75= Area * Height$

Divide through by Area

$Height = \frac{75}{Area}$

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

$Height = \frac{75}{5 * 5}$

$Height = \frac{75}{25}$

$Height = 3\ inches$

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3 years ago

How many pizzas had meat ( pepperoni and ham ) toppings?

kkurt [141]

Answer

100 pizzas

Step-by-step explanation:

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3 years ago

The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand

Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

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 normally distributed samples are 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 18.6, \sigma = 5.9$

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 18.6}{5.4}$

$Z = 0.44$

$Z = 0.44$ has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have $n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768$