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Sav [38]
3 years ago
10

200 + 20x ≥ 500 I don't get these

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0

Answer:

x ≥ 15

Step-by-step explanation:

200 + 20x ≥ 500

To solve this inequality, you must first subtract 200 from 500.

500 - 200 = 300.

Lastly, divide 300 by 20.

20x = 300

300 ÷ 20 = 15

Therefore, the value of x is 15.

Ilia_Sergeevich [38]3 years ago
5 0

Answer:

x ≥ 15

Step-by-step explanation:

1. So first of all we can simplify both sides now turning this into 20x+200≥500

2. Next we go ahead and subtract 200 from both sides because that is the opposite of adding, so something like this:

20x + 200 ≥ 500

        -200   -200

This equals to:

20x ≥ 300

Now so x can be cancled we will need to divide by 20 because that is the opposite of multiplying(When it shows the x next to a number like this 20x it means that they are multiplyin):

<u>20x</u>  ≥  <u>300</u>

20        20

Now we cance out the left side(x) equaling up to this:

x ≥ 15

I hope this helped you out!

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same
masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0
3 years ago
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ElenaW [278]

Answer:

29.4 meters

Step-by-step explanation:

Given the following :

A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.

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Initial Position or distance of submarine before ascension = 56.8 meters

Final position after ascension = 27.4 meters

The distance moved by the submarine between the two positions can be obtained by.

(Initial distance - Final distance)

(56.8 - 27.4) = 29.4 meters

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2nd formula where A = area, b = base, and h = height.

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