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Inessa05 [86]
3 years ago
5

2 points

Mathematics
1 answer:
Elenna [48]3 years ago
7 0
132=89 is the ratio. 132 boys, 89 girls.
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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li
Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}

Here \mu_{c} is the combined mean given by:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}

It is provided that the sample size is same for both the data sets, i.e.n_{X} = n_{Y}=n

Compute the combined mean as follows:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10

Compute the combined standard deviation as follows:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114

Thus, the combined standard deviation is 1.58114.

3 0
3 years ago
Which is equivalent to 3 sqrt of 8​
Mariana [72]

Answer:  Exact form 6 √ 2

                Decimal Form 8.48528137

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

5 0
3 years ago
Factor polnomial 4p^2−16p+12
iVinArrow [24]

Answer:

4(p−1)(p−3)

Step-by-step explanation:

Factor 4p2−16p+12

4p2−16p+12

=4(p−1)(p−3)

7 0
3 years ago
Read 2 more answers
Please help ill mark BRAINLIEST
Sunny_sXe [5.5K]
The answer is 4/7
Hope this helps
Thank you soo much
4 0
3 years ago
Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
vlabodo [156]

Answer:

  86.63 ft

Step-by-step explanation:

The tangent relation applies.

  Tan = Opposite/Adjacent

  tan(77°) = (tree height)/(20 ft)

  tree height = (20 ft)·tan(77°) ≈ 86.63 ft

_____

<em>Additional comment</em>

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

8 0
2 years ago
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