Which of the following is the graph of f(x) = x^2 − 5x + 4?

1 answer:

8 0

Factor to find x intercepts
x intercepts occur where f(x)=0
so
0=f(x)=x^2-5x+4
what2 numbers multiply to get 4 and add to get -5?
-4 and -1
0=(x-4)(x-1)
set to zero
x-4=0
x=4

x-1=0
x=1

x intercepts at 1 and 4
so therefor it is the 3rd option

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Describe the likelihood that the next mountain goat, deer, and moose caught are all unmarked. <3

Andrews [41]

The probability is the ratio of the favorable event to the total number of events. Then the probability of the elk caught in the park being unmarked will be 92.44%.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The total number of elk is 5,625.

The number of elk that were marked is 225.

Then the number of elk that were unmarked will be

→ 5625 - 225 = 5,200

Then the probability of the elk caught in the park being unmarked will be

$\rm P = \dfrac{5200}{5625}\\\\P = 0.9244 \ or \ 92.44\%$