Answer:
D. 4, B. 4, C. 8
Step-by-step explanation:
The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles. (The actual average is 3.88.)
The most number of miles run (look for tallest column of dots) is 4.
The number of people who ran is 8 (count the dots above the 5-mile label).
Answer:
1. y=2x+10
2. y=−6x−14
Step-by-step explanation:
1. Step 1: Add -y to both sides.
−2x+y+−y=10+−y
−2x=−y+10
Step 2: Divide both sides by -2.
−2x=−y+10
x=1/2y−5
2. Step 1: Add 6x to both sides.
−6x−y+6x=14+6x
−y=6x+14
Step 2:
−y=6x+14 divide by -1 both sides
y=−6x−14
Answer:
75% of the students at the Moore school are are learning to play a stringed instrument.
Step-by-step explanation:
We are given the following in the question:
Total number of students at Moore school = 360
Number of students learning stringed instrument = 270
We have to find the percentage of the students who are learning to play a stringed instrument.
Percentage =

Thus, 75% of the students at the Moore school are are learning to play a stringed instrument.
Vectors:
i = [1 0 0]
j = [0 1 0]
k = [0 0 1]
i + j = [1 1 0]
i + k = [1 0 1]
We want a vector which is orthogonal to both i + j and i + k, so the escalar procut between our vector "v" and i + j, i + k is equal to 0
Let's say v = [x y z]
v . (i + j) = [x y z] . [1 1 0] = x.1 + y.1 + z.0 = 0 => x + y = 0
v . (i + k) = [x y z] . [1 0 1] = x.1 + y.0 + z.1 = 0 => x + z = 0
So, we can say:
x + y = 0 => x = -y
x + z = 0 => x = -z
If x = -y:
x + z = 0
-y + z = 0
z = y = a and x = -a
We know it's a unit vector, so:






So,
y = z = a =
and x = -a = 
v = [
]