Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is <em>arithmetic </em>(a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form , where
is the term number and
is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that and hence
. Therefore, the 30th term of the sequence is
.
Answer:
See below
Step-by-step explanation:
<u>Given functions</u>
As we see g(x) = f(x + 5) + 1, which means <u>horizontal translation 5 units left</u> and <u>vertical translation 1 unit up</u>.
Answer options are all incorrect
A line segment can be divided into ratios.
<em>The coordinate of P on line segment AB is (5,1)</em>
Given
The position of P from A to B is:
So, from P to B would be:
So, the ratio is:
Simplify
<u>The coordinate of point P is:</u>
So, we have:
<em>Hence, the coordinate of P is (5,1)</em>
Read more about line ratios at:
Answer:
And we can find the limits in order to consider values as significantly low and high like this:
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
For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.
For this case we have the mean and the deviation given:
And we can find the limits in order to consider values as significantly low and high like this: