Answer:
A. 5x° + (2x + 7)° = 90°
Step-by-step explanation:
Complementary angles add up to give us 90°.
From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.
Therefore:
5x° + (2x + 7)° = 90°
Since we know this is an arithmetic sequence, to find the number of terms, it will be helpful to find the distance d between every term.
d = 1616 - 1313
d = 303
now let's think about how to generate the nth term of an arithmetic sequence given the first term 1313 and distance d.
second term = d + 1313
third term = second term + d
third term = 1313 + 2d
fourth term = third term + d
fourth term = 1313 + 3d
we are starting to see a pattern:
nth term = 1313 + (n-1)d
we know this pattern will continue because we are simply adding d to the previous term to get the next term so if the previous term n - 1 was 1313 + d(n - 2), then the next term n will be 1313 + d(n-1). to put i simply, since the first term was 1313, we know the 2nd term must be 1313 + d and since the 2nd term is 1313 + d, we know the third term must be 1313 + 2d and so on until the nth term which is 1313 + (n-1)d. we know the nth term of this sequence is 7373 and we know that d is 303 so:
7373 = 1313 + 303(n-1) and we just have to solve for n.
doing so gives:
n = 21 terms
let me know if you have any questions!
K is the number of groups in one way ANOVA. Since here 4 groups involved. So k here is four.
<u>Explanation:</u>
In statistics, one-way analysis of variance is a technique that can be used to compare means of two or more samples. This technique can be used only for numerical response data, the "Y", usually one variable, and numerical or categorical input data, the "X", always one variable, hence "one-way".
The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups (although you tend to only see it used when there are a minimum of three, rather than two groups).
Answer:
The Answer is: y - 8 = 5/3(x - 3)
Step-by-step explanation:
Given the y intercept form:
y = 5/3x + 3
Note that the slope is 5/3.
Find a point on the line.
Choose x = 3, solve for y:
y = 5/3(3) + 3
y = 5 + 3
y = 8
This give you the point:
(3, 8)
Use this to substitute into the point slope equation:
y - y1 = m(x - x1)
y - 8 = 5/3(x - 3)
Answer:
The amount of reward that Sophia receives is
Step-by-step explanation:
Let
x------> amount of reward that Sophia receives
y-----> amount of reward that Isabella receives
we know that
------> equation A
-----> equation B
Substitute equation A in equation B
Find the value of x