Answer: 5
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Notice that our data set is already written from least to greatest.
1, 2, 2, 8, 9, 14
Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.
Since 2 and 8 are the numbers that appear in the middle, we add them.
2 + 8 gives us 10.
Now we divide 10 by 2 to get 5.
So the median of this data set is 5.
Answer:
C. 38°
D. 30°
Step-by-step explanation:
The relevant relation in both cases is the inscribed angle measures half the measure of the arc it intercepts.
__
C. Angle TSQ intercepts arc TQ, so the measure of arc TQ is 2(86.5°) = 173°. The measure of arc TR is the difference between the measures of arcs TQ and RQ, so is ...
arc TR = 173° -135° = 38°
__
D. Inscribed angle PQR intercepts arc PR, so is half its measure.
angle PQR = 60°/2 = 30°
Answer:
It's C! y = 7
Step-by-step explanation:
Plugged the equation into an online calculator and got that answer :) Have a good day!
Answer:
f[g(3)] = 100
g[f(5)] = 138
g{f[g(-4)]} = -982
Step-by-step explanation:
f(x) = 4x - 3
g(x) = 8x + 2
a. f[g(3)]
First find g(3) by putting x = 3 in g(x) function
g(3) = 8(3) + 2 = 24 +2 = 26
now put this g(3) = 26 as x in f(x)
f(g(3)) = f(26) = 4(26) - 4 = 104 - 4 = 100
b. g[f(5)]
First lets find f(5)
f(x) = 4x - 3
put x = 5 above
f(5) = 4(5) - 3 = 20 - 3 = 17
put this f(5) = 17 as x in g(x)
g(f(5)) = g(17) = 8(17) + 2 = 138
c.g{f[g(-4)]}
First lets solve the inner most function
g(-4) = 8(-4) +2 = -30
put g(-4) = -30 in f(x) to find f(g(-4))
f(g(-4)) = f(-30) = 4(-30) - 3 = -123
put f(g(-4)) = -123 as x in g(x) to find our complete result
g{f[g(-4)]} = g(-123) = 8(-123) + 2 = -982
X is 73.
you can make an equation to find x
good luck
