Answer: the 1st one.
Step-by-step explanation: becuase today I was helping out a freind with this. So it the first one
Answer:
x = 13
Step-by-step explanation:
In a triangle, all the angles equal 180 so
2x + 5x - 7 + 6x + 18 = 180
combine like terms
13x + 11 = 180
13x = 169
x = 13
Answer:
y=6
Step-by-step explanation:
(2y-3)*2=4y-6
You multiply by two because there are two sides that are considered the length
y+1*2=2y+2
Same thing here
4y-6+2y+2=32
6y-4=32
+4. +4
6y=36
/6 /6
y=6
Assume that the data for both movies and basketball games are normally distributed.
Therefore, the median and the mean are assumed equal.
The standard deviation, σ, is related to the interquartile range by
IQR = 1.35
From the data, we can say the following:
Movies:
Range = 150 - 60 = 90 (approx)
Q1 = 62 (approx), first quartile
Q3 = 120 (approx), third quartlie
Q2 (median) = 90 (approx)
IQR = Q3 - Q1 = 58
σ = IQR/1.35 = 58/1.35 = 43
Basketball:
Range = 150 - 90 = 60 approx
Q1 = 95 (approx)
Q3 = 145 (approx)
Q2 = 125 (approx)
IQR = 145 - 95 = 50
σ = 50/1.35 = 37
Test the given answers.
A. The IQRs are approximately equal, so they are not good measures of spread. This is not a good answer.
B. The std. deviation is a better measure of spread for basketball. This is not a good answer.
C. IQR is not a better measure of spread for basketball games. This is not a good answer.
D. The standard deviation is a good measure of spread for both movies and basketball. This is the best answer.
Answer: D
Answer:
The vertex angle = 28 degrees.
Each of the base angles = 76 degrees.
Step-by-step explanation:
The 2 base angles of an isosceles triangle are equal.
The relation between the vertex angle and one of the base angles is as follows:
2x + y = 180 where x = the measure of a base angle and y = the measure of the vertex angle.
Also, from the information given in the question:
x = 3y - 8
so we have the system of equations:
2x + y = 180........(1)
x - 3y = -8...........(2)
Multiply equation (2) by -2:
-2x + 6y = 16......(3)
Adding (1) and (3):
7y = 196
y = 28.
Substituting for y in equation (2):
x - 3(28) = -8
x = -8 + 84
x = 76.
