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worty [1.4K]
3 years ago
12

Solve 3(x - 2) < 18. What is x?

Mathematics
2 answers:
Alenkinab [10]3 years ago
7 0

Answer:

X<8

Step-by-step explanation:

Distribute the 3 to get 3x-6<18. Then add the 6 to 18 leaving 3x<24. Then divide 24 by 3 to leave x by itself. x<8

I hope this helped! :)

aleksklad [387]3 years ago
4 0

Answer:

x  <  8

Step-by-step explanation:

First you divide 18 by 3, which gives you 6.

x  −  2  <  6

Then, you add 2 to 6, which gives you 8, which leaves you with :

x  <  8

:)

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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0
3 years ago
Determine the greatest common factor of the following expressions<br> (4x2y2, 3xy4, 2xy2
SashulF [63]
12xy i think lol :) hope that helps a bit 
4 0
3 years ago
The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages ( x ) in the cit
svlad2 [7]

Answer:

0.26 and 0.577

Step-by-step explanation:

Given :

x :___0 ___ 1 ____ 2 ____ 3

f(x):_0.80 _0.15__0.04 __0.01

The mean :

E(X) = Σ(x * p(x))

E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)

E(X) = 0 + 0.15 + 0.08 + 0.03

E(X) = 0.26

Var(X) = Σx²*p(x)) - E(x)²

Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4

Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324

Std(X) = √0.334 = 0.577

7 0
3 years ago
___ probability is the probability of an event K occurring, given that event L has or
Fudgin [204]

Answer:

conditional

Step-by-step explanation:

5 0
3 years ago
15. Kate plays a card game with two friends. She gives 5 cards to each player. Ten plus what number is equal to the total number
NNADVOKAT [17]

Answer:

i believe it would be 0

Step-by-step explanation:

2*5 = x

2*5 = 10

x = 10

10 + y = x

10 + y = 10

-10        -10

-----------------

y = 0

the number is 0

hope this helps! :D

have a miraculous day!! <3

4 0
2 years ago
Read 2 more answers
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