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Alenkinab [10]
1 year ago
10

-10√v-10=-60 Show All Steps.

Mathematics
1 answer:
docker41 [41]1 year ago
5 0
-10rt(v-10)=-60
(-10rt(v-10))/-10=-60/-10
rt(v-10)=6
(v-10)^2=6^2
v-10=36
v-10+10=36+10
v=46
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Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than
vagabundo [1.1K]
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
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2 years ago
1.17 A study of the effects of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it tak
bearhunter [10]

Answer:

a.

\bar X_F=43.7

\bar X_{NF}=30.32

b.

S_F=16.9278

S_{NF}=7.12783

c.

Attached file

d.

Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.

Step-by-step explanation:

a, b) For the group of smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:

\bar X_F={\frac{1}{n} \sum_{i=1}^n x_i = 43.7

S_F=\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2}=16.9278

a, b) For the group of non-smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:

\bar X_{NF}={\frac{1}{n} \sum_{i=1}^n x_i = 30.32

S_{NF}=\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2}=7.12783

c. In the attached file you can see the diagram of points for the times, in the smoking and non-smoking groups.

d. Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.

Download pdf
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2 years ago
In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

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DEF: X/4 ball bearings

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Working together, they can make

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

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\displaystyle \frac{4}{3} hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

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Calculator can help you

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Possible values = 3.0 and 6.0

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