Answer:
See explaination
Step-by-step explanation:
We can define standard deviation in statistics as a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
See attachment for the step by step solution
Answer:
-2a + 3
Step-by-step explanation:
We can substitute a + 7 for x:
f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3
Answer:

Step-by-step explanation:
We have been given a function
. We are asked to find the zeros of our given function.
To find the zeros of our given function, we will equate our given function by 0 as shown below:

Now, we will factor our equation. We can see that all terms of our equation a common factor that is
.
Upon factoring out
, we will get:

Now, we will split the middle term of our equation into parts, whose sum is
and whose product is
. We know such two numbers are
.




Now, we will use zero product property to find the zeros of our given function.




Therefore, the zeros of our given function are
.
Answer:
d(A,B)=1
Step-by-step explanation:
To find distance between points A(xA,yA) and B(xB,yB), we use formula:
d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√
In this example: xA=3 , yA=5 , xB=3 and yB=6 so:
d(A,B)d(A,B)d(A,B)=(3−3)2+(6−5)2−−−−−−−−−−−−−−−√=0+1−−−−√=1
Answer:
Step-by-step explanation:
Find the Supplement to 101
Supplementary angles = 180 degrees
180 = 101 + unknown Subtract 101 from 180
unknown = 79
Because the upper triangle is marked as having 2 equal sides, the left angle is also 79 degrees,
Now the vertex angle is 79 + 79 + y = 180 All triangles have 180 degrees
158 + y = 180 Subtract 158 from both sides
y = 180 - 158
y = 22
y is vertically opposite the vertex angle of the lower triangle. Both the sides are marked as equal, so the angles opposite them are equal as well.
x + x + 22 = 180 Combine
2x + 22 = 180 Subtract 22 from both sides.
2x = 180 - 22
2x = 158 Divide by 2
x = 158/2
x = 79