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3 years ago

Ms. Lunette has 18 students in her class. She wants to send 3 of these students to pick up books for the class.

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

The number of possible combinations is given by

... C(18, 3) = 18!/(3!(18-3)!) = 18·17·16/(3·2·1) = 816 . . . . possible combinations

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There are 18 ways to choose the first one; 17 ways to choose the second one, and 16 ways to choose the 3rd one. The same 3 students can be chosen in any of 3! = 6 different orders, so the product 18·17·16 must be divided by 6 to get the number of possible combinations in which order doesn't matter.

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Find the domain and range of the relation: (-8,8),(-8,7),(-8,6),(-8,5). Then determine whether the relation is a function.

Andrej [43]

The domain is {-8}
The range is {5,6,7,8}
The relation is not a function as the domain value -8 maps to multiple values. All domain values in a relation needs to map to exactly one range value for it be a function.

8 0

3 years ago

Can someone please help me with this question and show the steps?

Katena32 [7]

<h2>Answer:</h2>

$D. \ 408in^2$

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

$s=s_{square}+4s_{triangle}$

FOR THE SQUARE:

$s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2$

FOR THE TRIANGLE:

$s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2$

Finally:

$s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}$

7 0

3 years ago

Find the volume of a cylinder with a radius of 8 cm in height 10 cm? To the nearest whole centimeter

BartSMP [9]

V=2010.62cm^3 hope this helped you.

4 0

2 years ago

HELP ASAP PLEASE!!!!!!

devlian [24]

A = (2+9)/2

a = 11/2

a = 5.5

__________________

b = (4+4)/2

b = 4

__________________

d = √(9-2)²+(4-4)²

d = √7²+0²

r = 3,5

____________________

(x-a)² + (y-b)² = r²

(x-5.5)² + (y-4)² = 3,5²

(x-5.5)² + (y-4)² = 12.25

5 0

3 years ago

Read 2 more answers

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Marysya12 [62]

8x???? I could be wrong

Explained

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2 years ago