Line joining (-3, -1) and (1/2, 2)
Point point form for a line is
(c-a)(y-b) = (d-b)(x-a)
(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)
(7/2)(y+1)=3(x+3)
7(y+1)=6(x+3)
7 - 6(3) = 6x - 7y
6x - 7y = -11
Answer: second choice, 6x - 7y = -11
Answer: Roses= 75, Sunflowers= 45
Step-by-step explanation:
Add the ratios- 5 + 3 = 8
Divide the total by the sum = 120 ÷ 8 = 15
Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45
∴ 5:3 = 75 , 45
linear function; growth factor of 4
Answer:
b = 5
Step-by-step explanation:
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(1, 3) and (x₂, y₂ ) = D(4, - 3)
m = 
= 
= - 2, hence
y = - 2x + b ← is the partial equation of the line
To find b substitute either of the 2 points into the partial equation
Using (1, 3), then
3 = - 2 + b ⇒ b = 3 + 2 = 5
Answer:
B.
Step-by-step explanation:
There are 20C4 = 4845 ways to take a sample of 4 from 20.
For choices A and C, the mean will be over-estimated if 3 of the 4 samples are of the higher value. There are (10C3)×10 = 1200 samples that will cause the mean to be over-estimated.
For choice D, every sample will correctly estimate the mean, so there are 0 samples that will cause the mean to be over-estimated.
For choice B, any sample that contains all 2s will over-estimate the mean. There are 19C4 = 3876 such samples.
Of the data sets listed, a sample of 4 from data set B is most likely to be one of the samples that will over-estimate the mean.
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nCk = n!/(k!(n-k)!)
