Step-by-step explanation:
Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs. So choose appropriate answer accordingly (near the end)
Using the usual notations and formulas,
mean, mu = 3550
standard deviation, sigma = 870
Observed value, X = 3000
We calculate
Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839
Probability of weight below 3000 lbs
= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334
Answer:
Probability that a car randomly selected is less than 3000
= P(X<3000) = 0.2636 (to 4 decimals)
Probability that a car randomly selected is greater than 3000
= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)
Answer:
The total cost of the cylindrical tank is $226.28
Step-by-step explanation:
Dimensions of the tank are: radius = 3 ft , height = 2 ft
Cost per cubic foot = $4
Now, total volume of the cylindrical tank = 
Here, take π = 22/7
So, Volume = 
So, the <u>volume of the tank = 56.57 cubic feet. </u>
Now, cost per cubic foot = $4
Hence, the total cost of the tank = Total Volume of the tank x cost per foot
= 56.57 x 4 = $226.28
So, the total cost of the cylindrical tank is $226.28
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
<h3>What is the speed of an object?</h3>
The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
Learn more about the speed of an object here: brainly.com/question/16123156
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