Answer:
<h2>
The sum will give </h2>
Step-by-step explanation:
Given the indicinal equation as shown;
To find the sum, we need to find the cube roots of the given number first as shown:
The we add their coefficient together since they have the same incidinal function attached to them i.e
The sum will give .
Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel =
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Answer:
a)
b)
c)
d)
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
There are 10 containers, so .
A food-packaging apparatus underfills 10% of the containers, so .
a) This is P(X = 1)
b) This is P(X = 3)
c) This is P(X = 9)
d) This is .
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:
In which
So
Finally
Step-by-step explanation:
I sent you the picture above oncluding the steps.
In the equation given, just put the value of x and you will find the value of y.
For a regular 8 sided polygon each angle against each side, is 360/8=45.
So x=45/2=22.5
Then