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2 years ago

Suppose G={−5,−3,0,3,5} and J={0,1,3,5,7}. Which set represents G∩J?

Mathematics

2 answers:

klemol [59]2 years ago

6 0

Answer:

{0,3,5}

Step-by-step explanation:

∩ means "and" so u would want to find out the numbers that repeat in both sets, this is correct in this situation.

alexdok [17]2 years ago

4 0

Answer:

{0,3,5}

Step-by-step explanation:

∩ means "and" so u would want to find out the numbers that repeat in both sets

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A cube with sides 5 inches, and a pyramid with base edges 5 inches. What is the height, so that the volume of the cube and the p

Ostrovityanka [42]

15 inches is the height of the pyramid

Step-by-step explanation:

The volume of a cube is a³

Given a = 5 inches

→ Volume = a³

= 5³

= 5×5×5

= 125 in²

The volume of a pyramid is $\frac{1}{3} {a}^{2}h$

Given a = 5 inches , h = height of pyramid

$= > \frac{1}{3} {a}^{2} h$

$= > \frac{1}{3}(5)^{2}h$

$= > \frac{1}{3} \times 25 \times h$

$= > \frac{25}{3}h$

then,

$125 = \frac{25h}{3}$

$= > 25h = 125 \times 3$

$= > 25h = 375$

$= > h = \frac{375}{25}$

$= > h = 15$

Hence, the height of pyramid is 15 inches

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2 years ago

there are 8 people fishing at lake connor: 5 have fishing licenses, and 3 do not. an inspector chooses two of the people at rand

lianna [129]

Answer:

3 have a license, 5 do not have a license

the first choice is 5 out of 8, or 5/8

the second choice is 4 out of 7, or 4/7

(5/8)*(4/7)=20/56=10/28=5/14

another way to look at it is...

how many ways can you choose 2 people out of 8 people ?

8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways

how many ways can you choose 2 people out of 5 people ?

5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10

10/28=5/14 again

call the 5 people who don't have a license A,B,C,D, and E

how can they be paired together ?

AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10

again 10/28=5/14

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Answer:

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Step-by-step explanation:

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