9514 1404 393
Answer:
- vertical stretch: the function value (f) is multiplied by the stretch factor
- horizontal stretch: the variable (x) is divided by the stretch factor
Step-by-step explanation:
A stretch can be vertical, horizontal, or both.
Multiplying the function value by a factor greater than 1 will stretch the graph vertically.
Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.
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The graph is stretched by the factor according to how it is applied.
If you know the LCM then you divide it by the other number.
If you don't already know it: is 8 a factor of 9 or do they have equal factors? No.
Is 9 a factor of 8 or do they have equal factors? No.
The easy way: multiply 8 by 9 to get LCM :)
Answer:
0.703
Step-by-step explanation:
By inspection this is a binomial probability distribution problem.
We are given;
Probability that the deer in a region carries a certain type of tick; p = 40% = 0.4
Sample size; n = 300
Now we want to find the probability that fewer than 124 deer have this tick.
Thus is at P(x ≤ 124)
Formula for binomial distribution problem is;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
But now in this question,
P(x ≤ 124) = P(0) + P(1) + P(2) +.... P(124)
Getting all the Probabilities from P(0) to P(124) is too long we will make use of an online binomial probability distribution calculator with the result attached as an image.
In the calculator we input n = 300; p = 0.4; and P(X ≤ x)
We have a value of 0.703
The greatest common factor is 45