7/8 is a answer of this question
Answer:
And rounded up we have that n=385
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 99% 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)
We can use as an estimator for p
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
Answer:
36, 29, 22, 15, 8
Step-by-step explanation:
Step 1: State known information
First difference is -7
Third term of the sequence is 22
Step 2: Find first 5 terms
You just need to add and subtract 7 to 22 and the answer 5 times
1. 36 +7
2. 29 +7
3. 22 <- We know 22 is the 3rd term
4. 15 -7
5. 8 -7
Therefore the first 5 terms of the sequence is 36, 29, 22, 15, 8
Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.
