Answer:
a. Probability distribution is given below
Scores Ex, x. 1 2 3 4 5
P(X=x). 0.05 0.09 0.03 0.42 0.41
b. Scores mg, Y 1. 2. 3. 4. 5
P(Y=y). 0.04. 0.1. 0.12 0.46 .28
c. probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5.
P(4 or 5) =p(x=4) +p(x=5)
= 0.42 + 0.41=0.83
The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is
<h3>How to determine the equation of the hyperbola?</h3>
The given parameters are:
- Directrices at x = ±2
- Foci at (5, 0) and (−5, 0)
The foci of a hyperbola are represented as:
Foci = (k ± c, h)
The center is:
Center = (h,k)
And the directrix is:
Directrix, x = h ± a²/c
By comparison, we have:
k ± c = ±5
h = 0
h ± a²/c = ±2
Substitute h = 0 in h ± a²/c = ±2
0 ± a²/c = ±2
This gives
a²/c = 2
Multiply both sides by c
a² = 2c
k ± c = ±5 means that:
k ± c = 0 ± 5
By comparison, we have:
k = 0 and c = 5
Substitute c = 5 in a² = 2c
a² = 2 * 5
a² = 10
Next, we calculate b using:
b² = c² - a²
This gives
b² = 5² - 10
Evaluate
b² = 15
The hyperbola is represented as:
So, we have:
Evaluate
Hence, the equation of the hyperbola is
Read more about hyperbola at:
brainly.com/question/3405939
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Answer:
Step-by-step explanation:
(-1 - 5)/(0 + 3)= -6/3 = -2
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 1
Answer:
6.25
Step-by-step explanation:
V=lwh
/3
To account for the 2/3 slant, add 1
2.5X2.5X3/3 = 6.25
If this is incorrect, I'm sorry. But this seemed to be the most plausible answer based on how far away the other numbers are and how it matches perfectly with the answer choice
Answer:
Step-by-step explanation:
Try dividing the first equation by 3. The result will be identical to the second equation. Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.