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asambeis [7]
3 years ago
13

Question 14 (5 points)

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:A

Step-by-step explanation:

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Which is an irrational number between -9 and -10?
UkoKoshka [18]

Answer:

maybe -9.1666 top second one?

5 0
2 years ago
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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 ordered pair (a, b) is the solution to the following system of equations?
Kamila [148]

Answer:

  (-13, -4)

Step-by-step explanation:

It is about as easy to try the solutions as it is to find them from scratch.

__

However, we can determine which one it is by adding twice the second equation to the first.

  (-2a +3b) +2(a -4b) = (14) +2(3)

  -5b = 20

  b = -4 . . . . . . matches the first choice

8 0
3 years ago
A
insens350 [35]

To start, the equation has to be converted to slope-intercept form, or y=mx+b. Start by subtracting x from both sides; x-x+2y=4, 2y=4-x. Switch 4 and -x around to conform to the formula; 2y=-x+4. Then divide by 2 to isolate y; y=-\frac{1}{2}x+2. This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is -\frac{1}{4}, the opposite reciprocal of -\frac{1}{5} is 5) the opposite reciprocal of -\frac{1}{2}  is 2. So the equation of the line is y=2x, and the answer is A.

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2 years ago
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An ordinary single die is thrown. Find the probability that an even number is the outcome.
Nikolay [14]
You will have a 3:6 probability of getting an even number
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3 years ago
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