Answer:
The correct option is;

Step-by-step explanation:
Here we have the formula for the confidence interval of the difference of two means where the population standard deviation is unknown based on the sample mean and sample standard deviation is given as follows;

Where:
= Mean of the first sample = 22 grams
= Mean of the second sample = 18 grams
s₁ = Sample standard deviation of the first sample = 3.2 grams
s₂ = Sample standard deviation of the second sample = 2.1 grams
n₁ = Sample size of the first sample = 100
n₂ = Sample size of the second sample = 100
= t value obtained from tables at 99% confidence level and 100 degrees of freedom = 2.626 = 2.63
Therefore, plugging in the values, we have;

Therefore, the correct option is
.
Answer:
B' = (-4, -4)
Step-by-step explanation:
<u>Dilation</u>: A type of transformation that makes the pre-image larger or smaller without changing its shape.
<u>Center of a dilation</u>: a fixed point about which all points are dilated.
Given:
- A = (1, 2)
- B = (-1, -1)
- C = (0, -2)
- Scale factor = 4
For dilation when the <u>center of dilation</u> is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)
what are the options? your question seems incomplete
Answer:
the answer is x + 9
Step-by-step explanation:
3 times x equals 3x and 3 times 3 equals 9 -2X
you need to add like terms together
3x+2x=5x
and then 9 is by itself
so x+ 9 is the answer
hope this helps :-)
Explanation:
If your actual answer is very far from your estimate, you probably made a mistake somewhere.
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<em>Additional comment</em>
50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.
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You may also find it useful to estimate the error in your estimate. That is, you may want to know the approximate answer to 2 (or more) significant digits in order to gain confidence that your calculation is correct.