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3 years ago

12

There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what is the probability that it

will be a jack?
A. 1/52
B. 1/13
C. 1/2
D. 12/13

2 answers:

scoundrel [369]3 years ago

5 0

If you divide 52 by 4 you get 13 meaning
1/13 is the answer

VMariaS [17]3 years ago

3 0

Answer:

B. 1/13

Step-by-step explanation:

52/4=13. 4/52=1/13

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In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100

Natasha2012 [34]

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that $p = 0.1$

100 employees

This means that $n = 100$

Mean and standard deviation:

$\mu = E(X) = np = 100*0.1 = 10$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3$

What is the probability that at least 15 of them were promoted during the last year?

This is $P(X \geq 15)$ , which is 1 subtracted by the pvalue of Z when X = 15. So

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

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3 years ago

Which of the quadratic functions has the widest graph y=0.6x^2 y=4x^2 y=1/5x^2 y=1/4x^2

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Answer:

1/5x^2

Step-by-step explanation:

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3 years ago

A red car and a blue car are traveling at the same speed. The red car drives 3 hours. The blue car drives another half hour and

Ganezh [65]

. Distance = Speed * Time

Let s represent the speed of the cars in miles per hour. The problem statement tells you

.. red car distance + 25 miles = blue car distance

.. s*3 + 25 = s*(3 + 0.5)

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4 years ago

Read 2 more answers

If your player is Erik, write an inequality that shows all of the ways that Erik will win

stellarik [79]

An inequality that shows all of the ways that Nita will win if Erik chooses 17 is

Eric will win if Nita chooses 7 and he chooses and number that is less than 17 (ex. n<17).
Nita will win if Eric chooses 17 and she chooses a number less than 8 (ex. n<8).

<h3>What is an Inequality?</h3>

This refers to the relation in mathematics that makes an unequal comparison between two numbers or expressions.

Therefore, according to the rules of the game, they would have to make random selections from 0 to 20 and if the difference between their two numbers is less than 10, then Erik wins, the inequality that would show all of the ways that Nita will win if Erik chooses 17 are listed above.

Hence, we can see that the complete question goes thus:

"Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins.

Use what you know about inequalities and absolute values to better understand the game."

Read more about inequalities here:

brainly.com/question/11613554

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2 years ago

every 4th person in line at the fair gets a free ride ticket and every 7th person gets a free cotton candy. Which person will be

Katena32 [7]

I believe it is the 28th person that will get both

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4 years ago