Answer:
The probability of no calls in a one-minute interval is 0.1353
Step-by-step explanation:
120 calls per hour gives 120/60 calls per minute.
Mean of calls per minute, λ = 2 calls/minute
Using Poisson distribution formula
P(X=x) = ((e^-λ)(λ⁻ˣ))/x!
For 0 calls in a minute,
P(X=0) = (e^-2)(2⁰)/0! = e(^-2) = 0.1353
Hope this Helps!!!
Answer:If the total perimeter of a pentagon with 5 sides is 40 centimeters, then each side would be 8cm
Step-by-step explanation:
Answer: The width of the leftover brass is 17 inches.
Step-by-step explanation:
Hi, to answer this question, first, we have to add the width of the pieces cut.
Mathematically speaking:
8 in +8 in = 16 in
Now, we have to subtract that result to the width of the sheet of brass.
33 in -16 in = 17 in
The width of the leftover brass is 17 inches.
Feel free to ask for more if needed or if you did not understand something.
<h3>Answer:</h3>
56 m²
<h3>Explanation:</h3>
The altitude from point B to segment CP is the same for ∆BMP as for ∆BMC. Since both have the same base length (MP = MC), both have the same area, 21 m². Hence the area of ∆CPB is (21+21) m² = 42 m².
The altitude from point C to segment AB is the same for ∆CPA as for ∆CPB, so the areas of those triangles will have the same proportion as the base segments AP and BP. That is, ...
... AACPA : ACPB = PA : PB = 1 : 3
The ratio of ACPB to the total is then ...
... ACPB : (ACPA +ACPB) = 3 : (1+3) = 3 : 4
The area of ∆ABC is the total of the areas of the smaller triangles CPA and CPB, so we have
... ACPB : AABC = 3 : 4
... AABC/42 m² = 4/3 . . . . . rearranging slightly and substituting for ACPB
... AABC = (42 m²)×(4/3) . . . . multiply by the denominator
... AABC = 56 m²