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Ivanshal [37]
3 years ago
15

Solve the compound inequality for x and identify the graph of its solution.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

×+5_>1=x_<-4 x-7_<-3=x_>4

Step-by-step explanation:

x+5_>1

x_>1-5

x_>-4

●x_<-4

And

×-7_<-3

x_<-3+7

x_<4

●x_>4

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Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t
valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0
4 years ago
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What is the distance you are standing from the base of the tree?
alex41 [277]

Answer:

c = 12.5903 as it is more accurate

Step-by-step explanation:

tan65 = 27/d , value of tan65 is 2.1445

2.1445 = 27/d

d = 27/2.1445

d = 12.5903

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5 0
3 years ago
Can someone help me with this
Alborosie
✌HEYA!!!
HERE IS YOUR ANSWER=
THERE ARE ONLY TWO CASES WHEN COMPUTER PICKED A 1 AND A 2 OUT OF 25..
CASES= (1,2);(2,1)

P (E)=2/25
O.O8
WHICH IS OPTION D.

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4 years ago
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Elanso [62]
I don’t think so but I could be wrong
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Pavlova-9 [17]

Answer:

16/75

Thx for the 30 points

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3 years ago
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