Answer:
-98
Step-by-step explanation:
The refrection of a point or set of points across the line y = x will result in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.
Given that the vertices of a triangle are P(-8, 6), Q(1, -3) and R(-6, -3), the vertices of the triangle formed by the refrection Ry=x<span>(ΔPQR) are P'(6, -8), Q'(-3, 1) and R'(-3, -6).</span>
Answer:
Step-by-step explanation:
a₁ = -3 = (-1)¹×3
a₂ = 6 = (-1)²×2×3
a₃ = -28 = (-1)³×2²×7
a₄ = 72 = (-1)⁴×2³×3²
a₅ = -360 = (-1)⁵×2³×3²×5
a₆ = 2160 = (-1)⁶×2⁴×3³×5
That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.
Answer:
And replacing we got:
And the confidence interval for the difference of means would be given by:

Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
We have the following data given:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval is given by:
And replacing we got:
And the confidence interval for the difference of means would be given by:

Answer:
$106,714.29
$71,142.86
$71,142.86
Step-by-step explanation:
There's a total of 7 pieces that they invested (3 + 2 + 2 = 7) so you can do 249,000 / 7 to find what each piece was worth.
249000/7 = about 35571.43
(you always have to round money to 2 decimal places)
Then the amount each brother spent would be:
3 * 35571.43 = 106714.29
2 * 35571.43 = 71142.86
2 * 35571.43 = 71142.86