Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.
Pythagorean Theorem
+
=
+
=
100 + 361 =
461 =
x =
or about 21.47
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
The quotient of the synthetic division is x^3 + 3x^2 + 4
<h3>How to determine the quotient?</h3>
The bottom row of synthetic division given as:
1 3 0 4 0
The last digit represents the remainder, while the other represents the quotient.
So, we have:
Quotient = 1 3 0 4
Introduce the variables
Quotient = 1x^3 + 3x^2 + 0x + 4
Evaluate
Quotient = x^3 + 3x^2 + 4
Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4
Read more about synthetic division at:
brainly.com/question/18788426
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Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of 
, which are: 
, 
and 
.
Then we proceed to find all elements of range:
Which corresponds to option D.
