Answer:
Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}
Step-by-step explanation:
The question is:
Which data set has the greatest spread for the middle 50% of its data
We have given the data sets:
{18,13,22, 17, 21, 24}
{17,19,22,26,17,14}
{13,17,12,21, 18,20}
{18,21,16,22,24,15}
To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.
So,
For the first set: 22-17 = 5
For the second: 22-17 = 5
For the third set = 20-13 = 7
For the fourth set = 22-16 = 6
Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20} ....
3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
Answer:
(-1)(-3)
Step-by-step explanation:
When two negatives are multiplied it always equals a positive making it the only one that equals positive 3.
Answer:
Step-by-step explanation:
180 - m∠1
Answer:
The x intercept is (3/2,0)
The y intercept is (0,-3)
Step-by-step explanation:
Y+5=2(x+1)
To find the x intercept, set y =0 and solve for x
0+5=2(x+1)
Distribute
5 = 2x+2
Subtract 2 from each side
5-2 =2x +2-2
3 =2x
Divide by 2
3/2 =x
The x intercept is (3/2,0)
To find the y intercept, set x =0 and solve for y
y+5=2(0+1)
y+5 = 2*1
y+5=2
Subtract 5 from each side
y+5-5=2-5
y=-3
The y intercept is (0,-3)
