Answer:
49π cm²
Step-by-step explanation:
Diameter (d) = 14 cm
Radius (r) = d/2 = 14/2 = 7 cm
Area of a circle
= πr²
= π × (7)²
= 49π cm²
Hope it helps ⚜
The top square is 8. The long rectangle 19.5. The bottom rectangle is 3.
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
5%
Step-by-step explanation:
Let x represent the percentage of people that have gone to both the park and the beach.
The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x
The percentage of people that have gone only to the beach = 45% - x% = 45 - x
Therefore:
100% = (80 - x) + (45 - x) + (x) + (15)
100 = 80 + 45 + 15 -x - x + x
100 = 140 - x
x = 140 - 100
x = 40%
Therefore 40% of the students have gone to both the park and the beach.
The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%