Answer: y=1/2x-3
Step-by-step explanation:
Slope-intercept form:y=mx+b
m=y2-y1/x2-x1
-1-(-2)/4-2=1/2
y=1/2x+b
-1=1/2(4)+b
-1=2+b
b=-3
To make a percent to a decimal, move the decimal to the left 2 times.
43%=0.43
Answer:
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Step-by-step explanation:
Answer:
517,262
Step-by-step explanation:
A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?
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Ans: (1.5)^18 * 350 = 517,262
Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
