Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Answer:
the answer is 10 6/3 20/10 1/2
Step-by-step explanation:
Answer:
18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Suppose the mean number of deviations and incursions per year at the Los Angeles International Airport (LAX) is 2.
This means that 
Find the probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year
This is P(X = 3).


18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year
20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4
Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
<u>Properties of : c · f(x)</u>
- Graph opens wider/more narrow
- If the absolute value of c is greater than one, the shape narrows
- If the absolute value of c is less than one, it widens
- It can also affect any applied horizontal/vertical shifts
- If c is negative, the shape is reflected over the x-axis (upside-down)
<em><u>In this case, the question is only asking if the function flips a certain way. As seen, "c," (as shown above) is -1, which is less than one. This means that the function will be flipped over the x-axis.</u></em>
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