Answer:
Option B
Step-by-step explanation:
the mean is the sum of each value of P(x) multiply for x
Mean= 23x0.16 + 25x0.09 + (26x0.18) + (31x0.12)+ (34x0.24) + (38x0.21)
Mean= 30.47
Answer:
12,5.196
Step-by-step explanation:
given that the radius of a circle is 6.
We have any tangent drawn from outside point there will be two tangents of equal length and also the line joining point of intersection of tangent with centre of circle will bisect the angle between the tangents.
When angle between the two tangents is 60, we have the right triangle formed by radius, one tangent, and line joining point of intersection of tangent with centre of circle with angles 30,60 and 90
Hence the hypotenuse = length of line segment of tangent = 2 (radius) = 12
Part 2:
When angle between tangents is 120, we have 60,30,90 right triangle and hence length of tangent = radius * sin 60
= ![6*\frac{\sqrt{3} }{2} \\=5.196](https://tex.z-dn.net/?f=6%2A%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5C%5C%3D5.196)
Answer:
B. ![(200+400)-250=p](https://tex.z-dn.net/?f=%28200%2B400%29-250%3Dp)
Step-by-step explanation:
Let p be number of points Michael needs to score in 2nd game to catch up.
We have been given that Janet scored 200 and 400 points in the first 2 rounds of a computer game. So the total points scored by Janet in two games will be:
points.
We are also told that Michael had scored 250 points in the first round and he want to get the same total score as Janet.
So we can find the number of points Michael needs to score to catch up Janet by subtracting the number of points scored by Michael in 1st game from total number of points scored by Janet in two games. We can represent this information in an equation as:
![(200+400)-250=p](https://tex.z-dn.net/?f=%28200%2B400%29-250%3Dp)
Therefore, the equation
will help Michael to find the number of points he need to catch up Janet and option B is the correct choice.
By definition we have the average rate of change is:
AVR = (f (x2) -f (x1)) / ((x2) - (x1))
Then, for each function we have:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Answer:
The correct order of the functions from least to greatest is:
1) g (x)
2) f (x)
3) h (x)