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Luba_88 [7]
3 years ago
13

Choose the solution set represented by the following graph.

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

{x | x∈ R, x < -2}

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the inequality

From the attachment, we can see that there is an open circle or -2.

This represents either < or >

<u>Solving further:</u>

The arrow points to the left of -2.

This means that the number line represents numbers less than -2. i.e. < -2

If the numbers are represented with x.

The inequality is: x < -2

So, we have:  {x | x∈ R, x < -2}

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Determine the slope from the given graph below:
Greeley [361]

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

8 0
2 years ago
A population of values has a normal distribution with μ = 202.1 and σ = 24 . You intend to draw a random sample of size n = 64 .
n200080 [17]

Answer: p= 0.0532

Step-by-step explanation: from the question

u= population mean = 202.1

σ= population standard deviation = 24

n = sample size = 64.

Since the sample size is greater than 30 and the population standard deviation is known, then the z score is the appropriate to get the probabilistic value.

Z = (x - u) /(σ/√n)

Where x = sample mean.

At x = 204.5, we have the z score as

Z = 204.5 - 202.1/ (24/√64)

Z = 2.4/ (24/8)

Z = 2.4/ 3

Z = 0.8

At x = 205.1, we have the z score as

Z = 205.1 - 202.1/ (24/√64)

Z = 3/ (24/8)

Z = 3/3

Z = 1.

Since the distribution is normal, we compute the probability value attached to the z score using the z table.

Graphical illustration as attachment in the answer.

Note the area under the z score is the probability value of the z score.

As we can see, the area to the left of the shaded area is a, the shaded area is b and the area to the right of the shaded area is c

We have that

a + b + c = 1

Note, the table I'm using only gives area to the left of the distribution.

Area a

To get area a, we use a z score table whose area is to the left of the distribution.

At 0.8, according to the table the area left of 0.8 is 0.78814.

Area c

Area c is right of the distribution and our table is left of the distribution, but 1 - area to the left = area to the right ( since area to left + area to right =1).

Hence area to the left of 1.0 = 0.84134

Area c = 1 - 0.84134 = 0.15866.

Thus, a = 0.78814, c = 0.15866

a + b + c = 1

0.78814 + b + 0.15866 = 1

0.9468 + b = 1

b = 1 - 0.9468

b = 0.0532.

Hence the probability of random variable between 204.5 & 205.1 is 0.0532

6 0
3 years ago
Helpppppppp meeeeeeeee​
victus00 [196]

Answer:

The answer is B.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Convert the following Standard Form equation to an equation in General For (x-7)^2 + (y + 3)^2 = 49​
Harman [31]

Answer:

x+y=11

Step-by-step explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3

4 0
2 years ago
Read 2 more answers
HELP!!!!!! WHAT IS 4+4?!?!?!?!?!?!?!!!
tiny-mole [99]

Answer:

4+4=100000 :) thank me later

5 0
3 years ago
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