Answer:
Graph # 3
Step-by-step explanation:
-2x + 5y > 15 Let x = 0 solve for y
-2(0) + 5y = 15 change the > to an =
5y = 15
y =3 Point (0, 5) is on the graph
Graph # 3 is correct because the y-intercept is 5
x y
0 3 -2(0) + 5y = 15; 5y = 15
5 5 -2(5) + 5y = 15; -10 + 5y = 15; 5y = 25; y = 5
10 7 -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7
The graph > the line is dotted and you will shade above the line
Answer:
A. mean=14.29
median=16
B. IQR=10
C. option 3
D. 5.91
Step-by-step explanation:
mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29
median is achieved by arranging data in increasing order and then calculating the middle value
4 10 13 16 16 20 21
The mid value is 16 so the median=16
IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10
As n/4=7/4 is not an integer so
Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10
Q3=(3n/4+1)value=6.25=6th value=20
Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91
The shortest side is 3 m and the other side is 4 m. If you put all these numbers in the Pythagorean Theorem it checks out. (3^2+4^2=5^2)
Answer:
1.89*10^1
Step-by-step explanation:
move the decimal once to the left
Simplifying
0.4x + -2.5 = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 4.7 + 1.3x
Solving
-2.5 + 0.4x = 4.7 + 1.3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.3x' to each side of the equation.
-2.5 + 0.4x + -1.3x = 4.7 + 1.3x + -1.3x
Combine like terms: 0.4x + -1.3x = -0.9x
-2.5 + -0.9x = 4.7 + 1.3x + -1.3x
Combine like terms: 1.3x + -1.3x = 0.0
-2.5 + -0.9x = 4.7 + 0.0
-2.5 + -0.9x = 4.7
Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.9x = 4.7 + 2.5
Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.9x = 4.7 + 2.5
-0.9x = 4.7 + 2.5
Combine like terms: 4.7 + 2.5 = 7.2
-0.9x = 7.2
Divide each side by '-0.9'.
x = -8
Simplifying
x = -8