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EastWind [94]
4 years ago
14

Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean weights of each of the

se groups. The variability between these means can be best attributed to
Mathematics
1 answer:
vfiekz [6]4 years ago
8 0

Answer:

Notice that the subjects of the study are men over 50 years.

So, you need to consider that each subject is a different person with different weight and other different characteristics that determine that weight.

If we have 10 groups randomly selected, that means there's gonna be variability, otherwise, the study wouldn't make sense.

So, if each person is different, then their weights is gonna be different, giving different means.

It would be rare if both means result equal, beacuse that would mean the subjects had the same weight.

Therefore, the variability between these means can be best attributed to the variability of subjects, the difference between each person.

From a numerical perspective, the variability is attributed to the spread of the data group, that is, if there is too much difference between weights, the variabilty will increase.

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Simplify using the distributive property.
dezoksy [38]

Answer:

8y+12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A bank loaned out $21,500, part of it at the rate of 15% annual interest, and the rest at 9% annual interest. The total interest
Nuetrik [128]

Answer:

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

Step-by-step explanation:

This problem can be solved in several ways. The way I like is as follows.

Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:

21000(P) = 2215

P = 0.1055 or 10.55 %

This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is

10.55 = 4(1 – X) + 15X

Where X is the proportion of the loan given at the indicated interest. So

10.55 = 4 – 4X + 15X

6.55 = 11X

X = 0.5955

1-X = 0.4045

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

6 0
3 years ago
A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh
Ilia_Sergeevich [38]

2 \times 10^{19} times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is 6 \times 10^{22}

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

\text{Stars in universe} = x \times \text{ number of stars human can see}

<em><u>Substituting given values we get,</u></em>

6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}

Thus 2 \times 10^{19} times more stars are there in universe compared to human eye can see

5 0
4 years ago
A submarine went down 800 feet below sea level to Point A, then traveled up to Point B, which was 160 feet below sea level. Writ
Nadusha1986 [10]
The depth of Point A:  800 ft.
The depth of the Point B : 160 ft.
The distance from the point A to point B:
800 - 160 = 640 ft.
The fraction is:
640 / 800  = 4/5
3 0
3 years ago
A 12 oz soda costs $1.25 in the vending machine. At that rate, how much would a<br> 48 oz soda cost?
Daniel [21]

Answer:

$5

Step-by-step explanation:

48/12=4

1.25x4=5

Or you could set it up as a proportion

12/1.25=48/x

6 0
3 years ago
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