Answer:
0.1569 = 15.69%
Step-by-step explanation:
If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):
P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6
P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6
P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation
models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation
models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,

Applying quadratic formula, 
Where, a=-16, b=160 and c=120





Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
The factors of 56: 1; 2; 4; 7; 8; 14; 28; 56
The factors of 84: 1; 2; 3; 4; 6; 14; 28; 42; 84
GCF(56; 84) = 28
If Jey Uso was born on a Wednesday, the day of the week that Roman Reigns was born is Thursday.
<h3>What day of the week was Roman Reigns born?</h3>
There are 365 days in a year when there is no leap year.
Now determine the number of years that make up 759 days: 759 / 365 = 2 years + 29 days
Now determine how many weeks are in 29 days : 29 / 7 = 4 weeks and 1 day
Thus, Roman Reigns was born on Thursday.
To learn more about division, please check: brainly.com/question/194007
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