Ask question

Ask question

All categories

3 years ago

8

In one year three awards (research, teaching, and service) will be given to a class of 25 graduate students in a specific depart

ment. If each student can receive at most one award, how many possible selections are there?

1 answer:

Murrr4er [49]3 years ago

3 0

Answer:

Step-by-step explanation:

25C3 × 3! = 13800

Alternately,

25×24×23 = 13800

You might be interested in

Eleri has 97 cents credit on her phone it costs 6 cents to send a message. How many people can eleri send a message to? Explain

Leona [35]

16 people. Divide 97 by 6 and you get 16.16 but you can’t send a message to a .16 of a person so it’s just 16 people.

6 0

1 year ago

How do you factor 50x - 32x^3

adoni [48]

<span>50x - 32x^3
= 2x (25 - 16x^2)

hope that helps</span>

8 0

3 years ago

A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample

fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

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

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 samples 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 this problem, we have that:

$n = 700, p = 0.37$

$\mu = E(X) = np = 700*0.37 = 259$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77$

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

$Z = \frac{238 - 259}{12.77}$

$Z = -1.64$

$Z = -1.64$ has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0

3 years ago

Choose the inequality that illustrates this problem. Basil wants to buy his mother a gift and a gift bag. He bought her a pretty

VikaD [51]

He can only spend $4 on the bag

8 0

3 years ago

3xc = -5, solve for x

atroni [7]

Answer:

$x = -\dfrac{5}{3c}$

Step-by-step explanation:

You want x alone on the left side.

x is being multiplied by 3 and by c.

The opposite operation of multiplication is division. You must divide 3xc by 3c to end up with just x.

You must do the same operation to both sides of an equation, so divide both sides by 3c.

$3xc = -5$

Divide both sides by 3c.

$\dfrac{3xc}{3c} = \dfrac{-5}{3c}$

Simplify both sides.

$x = -\dfrac{5}{3c}$

4 0

2 years ago