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geniusboy [140]
3 years ago
10

Select the inequalities represented by the graph below. Select all that apply

Mathematics
2 answers:
Klio2033 [76]3 years ago
5 0

Answer:

y ≥ -2x +c.

and  y + 2x ≥  c.

Step-by-step explanation:

Given : graph .

To find : elect the inequalities represented by the graph below.

Solution : we have given a graph with solid line and shaded up .

It mean in inequality y have greater than or equal to sign .

We can see from graph line cut at c on y axis (y intercept ) is (0, c) .

Slope  = -2

Point slope from y = mx + b

Where , m  =slope , b  = y intercept.

Then y ≥ -2x +c.

We can write it as y + 2x ≥  c.

Therefore, y ≥ -2x +c.

and  y + 2x ≥  c.

Ghella [55]3 years ago
4 0
If you put it in slope intercept form, you will have: y \geq -2x+c.

If you converted the format, you could also have: 2x+y \geq 1.

The rest of the choices are a different graph.
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Assume that X is normally distributed with a mean of 20 and a standard deviation of 2. Determine the following. (a) P(X 24) (b)
Tems11 [23]

Answer:

a) P( X < 24 ) =  0.9772

b) P ( X > 18 ) =0.8413

c) P ( 14 < X < 26) = 0.9973

d)  P ( 14 < X < 26)  = 0.9973

e) P ( 16 < X < 20)  = 0.4772

f) P ( 20 < X < 26)  =  0.4987

Step-by-step explanation:

Given:

- Mean of the distribution u = 20

- standard deviation sigma = 2

Find:

a. P ( X  < 24 )

b. P ( X  > 18 )

c. P ( 18 < X  < 22 )

d. P ( 14 < X  < 26 )

e. P ( 16 < X  < 20 )

f. P ( 20 < X  < 26 )

Solution:

- We will declare a random variable X that follows a normal distribution

                                   X ~ N ( 20 , 2 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 24 ) ?

- Compute the Z-score value as follows:

                                   Z = (24 - 20) / 2 = 2

- Now use the Z-score tables and look for z = 2:

                                   P( X < 24 ) = P ( Z < 2) = 0.9772

b) P ( X > 18 ) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

- Now use the Z-score tables and look for Z = -1:

                    P ( X > 18 ) = P ( Z > -1) = 0.8413

c) P ( 18 < X < 22) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

                                   Z = (22 - 20) / 2 = 1

- Now use the Z-score tables and look for z = -1 and z = 1:

                   P ( 18 < X < 22)  = P ( -1 < Z < 1) = 0.6827

d) P ( 14 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (14 - 20) / 2 = -3

                                   Z = (26 - 20) / 2 = 3

- Now use the Z-score tables and look for z = -3 and z = 3:

                   P ( 14 < X < 26)  = P ( -3 < Z < 3) = 0.9973

e) P ( 16 < X < 20) ?

- Compute the Z-score values as follows:

                                   Z = (16 - 20) / 2 = -2

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = -2 and z = 0:

                   P ( 16 < X < 20)  = P ( -2 < Z < 0) = 0.4772

f) P ( 20 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (26 - 20) / 2 = 3

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = 0 and z = 3:

                   P ( 20 < X < 26)  = P ( 0 < Z < 3) = 0.4987

8 0
4 years ago
Pls help i’ll give u a brainlest
Viefleur [7K]

Answer:

66

Step-by-step explanation:

The bases are both the same so it's 3*3 for both of them.

The sides are also the same so it's 3*4 for all four of them.

3*3+3*3+3*4+3*4+3*4+3*4

9+9+12+12+12+12

18+48

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3 years ago
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It is true that 3=4 times 3\4 because 4 times 3 equals 12 while 12 divided by 4 equals 3.

3=3 is true.
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3 years ago
4.8a - 6.3b - 2.1a + 7b
ololo11 [35]
First, you combine like terms. I would start by circling the term and the sign in front of it. (A term is a piece separated by an addition/subtraction sign.) You can only combine terms with the same variable. 4.8a-2.1a-6.3b+7b is the same as your equation, just rearranged. Then, subtract (4.8a-2.1a) which is 2.7a. Add (-6.3b to 7b) The answer is 0.7b. If you have any questions, you can message me!
5 0
3 years ago
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Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50 each and candies for $4 each. J
Lisa [10]

Answer:

There are no possible solutions for this question.

Step-by-step explanation:

3 0
3 years ago
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