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zepelin [54]
3 years ago
7

Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group be

cause he will be arriving late.
How many ways can the instructor choose the first group of four education students?
220
330
1,980
7,920
Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0
The answer is 330. Or answer B
Sati [7]3 years ago
7 0

yeah this is right its "B"

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How do you solve a degree of a polynomial?
slega [8]

Answer:

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

Step-by-step explanation:

<em>this is what google says btw</em>

6 0
2 years ago
write the equation of the line in slope intercept form that is perpendicular to y=5x+4 and passes through the origin please help
Alja [10]

The answer would be

y=-1/5x

Hope this helps!

5 0
2 years ago
a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However
Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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}}

1000 people were given assurance of a room.

This means that n = 1000

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that p = 0.9

Probability more than 900 still keeps their booking:

n = 1000, p = 0.9

So

\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{1000}} = 0.0095

901/1000 = 0.91

So this is 1 subtracted by the pvalue of Z when X = 0.91.

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

By the Central Limit Theorem

Z = \frac{0.91 - 0.9}{0.0095}

Z = 1.05

Z = 1.05 has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

3 0
2 years ago
Solve for x..........................
Lelechka [254]

Answer:

3

Step-by-step explanation:

If your talking about the x where it says 3x in, then

3x = 9

x = 3

4 0
2 years ago
Jen picked 3/4 of a gallon of strawberries in half an hour. If she keeps picking strawberries at the same rate, how many gallons
Ratling [72]
Hello!

3/4 = 0.75 as a decimal

We know that Jen picks 0.75 of a gallon of strawberries in half an hour, and now we want to find out how many gallons she'll pick in 2 hours.

Half an hour = 0.5 2 ÷ 0.5 = 4 There are four half hours in 2 hours.

0.75 × 4 = 3

ANSWER:

Jen will have picked 3 gallons of strawberries in 2 hours.
6 0
3 years ago
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