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zheka24 [161]
3 years ago
10

A local pizzeria offers 14 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different ty

pes of pizzas can you order with 5 toppings?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0
C(14,5)=\dfrac{14!}{5!9!}=\dfrac{10\cdot11\cdot12\cdot13\cdot14}{2\cdot3\cdot4\cdot5}=2002
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What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
nataly862011 [7]

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

  • Hope this helps
  • Brainliest plz
  • and have a wonderful day
8 0
3 years ago
Read 2 more answers
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

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.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
Write a common denominator for 1/4 and 5/6
maxonik [38]
A common denominator is 12
3 0
3 years ago
Read 2 more answers
Find the slope of the line shown.
kumpel [21]

Add the pic and I’ll be able to answer it

8 0
3 years ago
(Will award Brainlies & many many points, please help!)
iren [92.7K]

Answer:

B] f(n) = 6(3)n − 1; f(5) = 486

Step-by-step explanation:

First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.

So if the relation is exponential, if we divide the y coordinates you should get the same result every time.

18 / 6 = 3

54 / 18 = 3

162 / 54 = 3

So the y value increases 3 times. That means that the next value should be 162*3 = 486.

3 0
3 years ago
Read 2 more answers
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