(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60
y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b
so ur equation is : y = 60x + 0 which is written as : y = 60x <==
Answer:
d = √5 ≈ 2.24
Step-by-step explanation:
B is located at (1, 3) and B' is located at (3, 4)
Distance formula:
[tex] d = \sqrt{(xB' - xB)^2 + (yB' - yB)^2}[\tex]
replacing with the coordinates of the points:
[tex] d = \sqrt{(3 - 1)^2 + (4 - 3)^2}[\tex]
[tex] d = \sqrt{4 + 1}[\tex]
d = √5 ≈ 2.24
Total Value =$23,000
Time = 10 february to 10 august = 6 months
And
Rate of discount = 9% =0.09
Now we have to find the discount on the note
So we multiply the amount , time and rate
but time should be in years
So 6 months = 6/12 years = 0.5 years
So
Discount = 23,000 * 0.5 * 0.09 = 1035
Hence total Discount = $1035
Answer:
- Question (2): 1/6 ≈ 0. 17
Explanation:
<u>1. Arrange the information of the balls contained in the bowls in a table:</u>
Bowl X Bowl Y Bowl Z Total
Red balls 2 2 1 5
White balls 2 1 3 6
Blue balls 3 1 2 6
==============================
Totals 7 4 6 17
<u>2. To answer each question use the basic definition of probabilities</u>
- Probability = # of favorable events / # of possible events
<u>3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X? </u>
<u />
- Number of total blue balls: 6
- Number of blue balls in the bowl X: 3
- Probability that a ball that is blue was drawn from the bowl X: P (b/X)
P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5
<u>4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?</u>
- Number of total blue and white balls: 6 + 6 = 12
- Number of blue balls and white balls in the bowl Y: 1 + 1 = 2
- Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)
P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17
