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VikaD [51]
3 years ago
13

H(x)=-2x-10 H(8) Find x if h(x)=14

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Part 1

Plug in x = 8 and simplify

h(x) = -2x-10

h(8) = -2(8)-10

h(8) = -16-10

<h3>h(8) = -26</h3>

================================

Part 2

Replace h(x) with 14. Follow PEMDAS in reverse to solve for x.

h(x) = -2x-10

14 = -2x-10

14+10 = -2x

24 = -2x

24/(-2) = x

-12 = x

<h3>x = -12</h3>

If x = -12, then h(x) = 14

In other words, h(-12) = 14

------

Check:

h(x) = -2x-10

h(-12) = -2(-12)-20

h(-12) = 24-20

h(-12) = 14

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A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo
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Answer:

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

Step-by-step explanation:

Given

P(Red) = \frac{2}{7}

P(Blue) = \frac{3}{14}

Required

Which completes the model

Let the remaining probability be x.

Such that:

P(Red) +  P(Blue) + x = 1

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x = 1 - P(Red) - P(Blue)

So, we have:

x = 1 - \frac{2}{7} - \frac{3}{14}

Solve

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x = \frac{7}{14}

x = \frac{1}{2}

This mean that the remaining model must add up to 1/2

(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}

P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}

Take LCM

P(Green) + P(Yellow)= \frac{2+2}{7}

P(Green) + P(Yellow)= \frac{4}{7}

This is false because: \frac{4}{7} \ne \frac{1}{2}

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}

Take LCM

P(Green) + P(Yellow)= \frac{3+1}{8}

P(Green) + P(Yellow)= \frac{4}{8}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}

Take LCM

P(Green) + P(Yellow)= \frac{1+1}{4}

P(Green) + P(Yellow)= \frac{2}{4}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

Other options are also false

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Answer:

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4 0
3 years ago
Can you figure this out ?
vovikov84 [41]
Across :
3. conclude
10. quantitative data
11. experiment
12. observe

down : 
1. qualitative data
2. tentative
4. hypothesis
5. results
6. inference
7. analyze
8. data
9. variable


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