Answer:
The likelihood that a failure will not take place within the next 30 months is 0.0454.
Step-by-step explanation:
We employ a Poisson distribution where:
t = time units
x = occurrences during t units
λ = average occurrences per unit of time
P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!
Here, λt equals 25.
x equals 30.
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E signifies exponent)
P (x=30) = 1.204 E31/30!
Utilizing a statistical calculator will yield:
P (x=30) = 0.0454
The probability that the next failure will not occur prior to 30 months is 0.0454.
Answer:
1. What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?
Answer: The amplitude is 80 ft and the period is 60 ft.
2. Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?
Answer: y = 80cos(x*π/30)+80
3. When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?
Answer: y = 40cos(x*π/30)+80
4. Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?
Answer: y = 40cos(x*π/30)+40
Step-by-step explanation:
You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)
Response: B
Detailed explanation: This represents a quadratic function due to its parabolic shape, and it intersects the y-axis at 1.
