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3 years ago

Solve -3(x-2)<8 or -3(x-2) > 12

Mathematics

1 answer:

vivado [14]3 years ago

4 0

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

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What is the expression for (3x-4y)-(-5x+y)

MrMuchimi

Answer:8x-5y

Step-by-step explanation:

(3x-4y)-(-5x+y)

Remove brackets

3x-4y+5x-y

Collect like terms

3x+5x-4y-y

8x-5y

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3 years ago

The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm

Firdavs [7]

Answer with explanation:

Given : The heights of a certain population of corn plants follow a normal distribution with mean $\mu=145\ cm$ and standard deviation $\sigma=22\ cm$

a) Using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}\approx-0.45$

At x= 155, $z=\dfrac{155-145}{22}\approx0.45$

The probability that plants are between 135 and 155 cm tall :-

$P(-0.45$

Hence, 34.73% of the plants are between 135 and 155 cm tall.

b) Sample size : n= 16

Using formula $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}{\sqrt{16}}\approx-1.82$

At x= 155, $z=\dfrac{155-145}{22}{\sqrt{16}}\approx1.82$

The probability that plants are between 135 and 155 cm tall :-

$P(-1.82$

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%

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3 years ago

PLEASE HELP!!!

gregori [183]

Your answer is B. I hope this is helpful!

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3 years ago

What does 805 tens=

olga_2 [115]

8050 is the answer to "what does 805 tens="

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3 years ago

Read 2 more answers

Referring to the figure, find the value of x

pychu [463]

Answer:

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3 years ago