Answer:
y = -3x - 3
Step-by-step explanation:
First, determine the slope of the red line. As we move from (0, 3) to (1, 0),
x increases by 1 and y decreases by 3. Hence, the slope, m, is
m = rise / run = -3 / 1, or m = -3.
The desired new line, parallel to the red line, has the same slope as the red line: m = -3.
The equation for this new line is y - k = m (x - h), where (h, k): (-1, 0):
We get y - 0 = -3 (x + 1), or y = -3x - 3.
Check: Does this line go thru the given point (-1, 0)?
Is 0 = -3(-1) - 3 true? Yes, it is true.
First arrange the data in an order
3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21
a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7
Q2 = 2(16)/4 = 16/2 = 8th item = 12
Q3 = 3(16)/4 = 3(4) = 12th item = 17
IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5
b.) 82nd percentile = 82(16)/100 = 13th item = 17
c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%
<u>Answer:</u>
The equivalent of -1/3t = 4/3 is t = -4
<u>Solution:</u>
Need to determine such value of t so that when it is multiplied by -1/3, we should get 4/3
That is we need to solve following expression for value of t.
On multiplying both the sides by 3 we get
Now multiplying both the sides by -1 we get
Let’s recheck the value of t
Hence for t = -4, expression -1/3 t is equal to 4/3.
Answer:
once
Step-by-step explanation:
Answer:
It is 7
Step-by-step explanation:
They are vertical angle and need to be congruent.Their congruence is 105 so 14(7)+7=105
