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Korvikt [17]
3 years ago
10

Graph the region of solution of the given linear inequality x>7

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

The graph of given inequality is shown below.

Step-by-step explanation:

The given linear inequality is

x>7

We need to graph the region of solution of the given linear inequality.

The related equation of given linear inequality is

x=7

We know that x=a is a vertical line which passes through the point (a,0).

Here, a =7. So x=7 is a vertical line which passes through the point (7,0).

Relate line is a dotted line because the sign of inequality is >. It means the points on the line are not included in the solution set.

Shaded region is right side of the related line because the solution set contains all possible values of x which are greater than 7.

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Graph the function:<br> y = 5(3)
jonny [76]

Answer:

A straight horizontal line, with no slope, across the graph at 15 on the y-axis

Step-by-step explanation:

y = 5(3)

y = 15

4 0
2 years ago
A room has eight switches, each of which controls a different light. Initially, exactly five of the lights are on. Three people
aivan3 [116]

Answer:

The probability that 3 lights are on after the third person exited the room is 39/128

Step-by-step explanation:

In order for 6 switches to be on at the end, we need exactly 2 people turning on a switch and the other one turning one off. There are 3 possibilities:

  • The first two persons turn the switch in and the last one turns it off
  • The first and last person turn the switch in and the middle one tunrns it off
  • The first person turns the switch off and the 2 remaining turn the switch in

Note that after turning off one switch one more switch will be available to be switched in and one less will be available to be switch off. The contrary happens when someone turns in a switch.

Lets calculate the probability for the first scenario. The probability for the first person to turn the switch in is 3/8, because there are 3 lights off. For the second person, there will be only 2 lights off, thus, the probability for him or her to turn the switch in is only 2/8, leaving only 1 light off and 7 on. The third person will have, as a consecuence, a probability of 7/8 to turn off one of the 7 switches. This gives us a probability of 3/8 * 2/8 * 7/8 = 21/256 for the first scenario.

For the second scenario we will have a probability of 3/8 for the first person, a probability of 6/8 for the second one (he has to turn a switch off this time), and a probability, again, of 3/8 for the third one, giving us a probability of 3/8*6/8*3/8 = 27/256 for the second scenario.

For the third scenario, the first person has to turn off the switch, and it has a probability of 5/8 of doing so. The second person will have 4 switches to turn on, so it has a probability of 4/8 = 1/2, and the third person will have one switch less, thus, a probability of 3/8 of turning a switch on. Therefore, the probability of the third scenario is 5/8*1/2*3/8 = 15/128 = 30/256

By summing all the three disjoint scenarios, the probability that six lights are on is 21/256+27/256+30/256 = 78/256 = 39/128.

8 0
3 years ago
Let set C = (1,2,3,4,5,6,7,8) and set D - (2,4,6,8).
alekssr [168]

So the problem ask to find the relationship between the set C and set D and the best answer would be letter C. It states the union of the two relationship base on the set of data given in each set

6 0
3 years ago
Evaluate.
Aleksandr-060686 [28]

Answer:

-58

Step-by-step explanation:

-|123+(-1)|/2-(-3)

-|122|/2-(-3)

-122/2-(-3)

-61-(-3)

-58

5 0
3 years ago
Read 2 more answers
Explain the steps on how u got the answer <br> ••••••••••••••••••
dem82 [27]

Answer:

volume of cyclinder=πr²h

=3.14×2²×3=37.68cm³

rectangular prism volume=6×5×7

=210cm³

total volume=37.68+210=247.68cm³

6 0
3 years ago
Read 2 more answers
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