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Aliun [14]
3 years ago
8

In a pizza store, there are six possible toppings. On a large pizza, you can have 3 toppings. How many combinations of pizza top

pings are there?
A. 10

B. 15

C. 30

D. 60

These are the only answer choices. I got 120, however. If I am correct, please put that or any other answer instead! Thank you.

:)
Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

20

Step-by-step explanation:

The questions asks about Combinations of Pizza toppings, so by employing the Combination Formula:

C(n, k) = \frac{n!}{k!(n-k)!}

C(6, 3) = \frac{6!}{3! \cdot 3!} = \frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2}{3 \cdot 2 \cdot 3 \cdot 2} = 20

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Point P is the center of the circle below. What is the exact area
igor_vitrenko [27]

Answer:

Area =192\pi

Step-by-step explanation:

Given

\theta = 120^o

r =24

Required

The area of the shaded sector

This is calculated as:

Area =\frac{\theta}{360} * \pi r^2

This gives

Area =\frac{!20}{360} * \pi *24^2

Area =\frac{1}{3} * \pi *576

Area =\pi *192

Area =192\pi

6 0
3 years ago
This is the graph of y=x^2+2x-2 what is the range of this function
Sedaia [141]
The range is [-3, ∞)
3 0
3 years ago
What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3?
Zanzabum

Answer:

<h2>B. 468</h2>

Step-by-step explanation:

We have

a_1=156,\ r=\dfrac{2}{3}

If |r| < 1, then the formula of a sum of an infinite geometric sequence is:

S=\dfrac{a_1}{1-r}

Substitute:

S=\dfrac{156}{1-\frac{2}{3}}=\dfrac{156}{\frac{1}{3}}=156\cdot\dfrac{3}{1}=468

4 0
3 years ago
In December 2004, a report based on the National Survey on Drug Use and Health estimated that 20% of all Americans aged 16 to 20
o-na [289]

Answer:

542

Step-by-step explanation:

We are required to find the sample size at 98% confidence interval in this question

E = 0.04

P* = 20% = 0.20

n = p* x (1-p)(Zα/2÷E)²

α = 1 - 0.98

= 0.02

To get Critical value

= 0.02/2 = 0.01

The critical value at 0.01 is 2.33

Inserting values into formula:

O.2 x 0.8(2.33/0.04)²

= 0.8 x 0.2 x 58.25²

= 542.89

The value of n must be an integer therefore the answer is 542.

4 0
3 years ago
8x^2+3xy+4y^2_12x^2+3xy-5y^2
antiseptic1488 [7]

Answer:

- 4x² + 6xy - y²

Step-by-step explanation:

8x² + 3xy + 4y² - 12x² + 3xy - 5y² ← collect like terms

= (8x² - 12x² ) + (3xy + 3xy) + (4y² - 5y²)

= - 4x² + 6xy - y²

7 0
2 years ago
Read 2 more answers
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