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3 years ago

What is universal gravitational constant

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

6.67408 × 10^-11 m^3 kg^-1 s^-2

Step-by-step explanation:

F = G M 1 M 2 d 2 , where F is the gravitational force between two point masses, M1 and M2; d is the distance between M1 and M2; G is the universal gravitational constant, usually taken as 6.670 × 1011 m3/(kg)(s2) or 6.670 × 10−8 in centimeter–gram–second units. a = F M 1 = G M 2 r 2 .

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In a manufacturing process, a machine produces bolts that have an average length of 5 inches with a variance of .08. If we rando

xz_007 [3.2K]

Answer:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

And replacing:

$\mu_{\bar X}= 5$

And the deviation:

$\sigma_{\bar X}= \frac{0.283}{\sqrt{5}}= 0.126$

And the distribution is given:

$\bar X \sim N(\mu= 0.08, \sigma= 0.126)$

Step-by-step explanation:

For this case we have the following info given :

$\mu= 5. \sigma^2 =0.08$

And the deviation would be $\sigma = \sqrt{0.08}= 0.283$

For this case we select a sample size of n = 5 and the distirbution for the sample mean would be:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

And replacing:

$\mu_{\bar X}= 5$

And the deviation:

$\sigma_{\bar X}= \frac{0.283}{\sqrt{5}}= 0.126$

And the distribution is given:

$\bar X \sim N(\mu= 0.08, \sigma= 0.126)$

4 0

3 years ago

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

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and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0

3 years ago

How do you work this problem 2.5÷ 4

lord [1]

Using a calculator can help. You get 0.625, or 5/8.

8 0

3 years ago

What is 9.286 as a mixed number

marshall27 [118]

9.286

[To change to mixed number, count the number of digits after the decimal point. There are 3 digits, so the denominator will be 1000]

$9.286 = 9 \frac{286}{1000}$

Then we simplify the fraction
(286 ÷ 2)/(1000÷2) = 143/500

Therefore,
$9.286 = 9 \frac{286}{1000}$
$9.286 = 9 \frac{143}{500}$

8 0

3 years ago

Read 2 more answers

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high? pls show all

tatiyna

1 penny = 0.005 ft
total amt of pennies = 1264/0.005 = 252800 pennies

8 0

2 years ago