Answer:
<B = 107
Step-by-step explanation:
This two triangles are congruent by SSS
So angleB = angleD
We can find angle D by the sum of the angles of a triangle
A+C+D = 180
32+41+D = 180
73+D = 180
D =180-73
D =107
C = B = 107
Answer: (x+5)(x-3)
Explanation:
Write 2x as a difference so (that also =15) so 5x-3x
That end up being x^2+5x-3x-15 now putting into factorisation (x+5)(x-3)
Hope this helps:)
Answer:
A
Step-by-step explanation:
She is subtracting 42 from 55.
Answer:
And rounded up we have that n=19112
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".
Solution to the problem
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 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=19112