Answer:
-6 ?
Step-by-step explanation:
Answer:
99.96%
Step-by-step explanation:
Given the information:
=> the are 25 people in total
Hence, the total possible outcomes of all the members in the 4 committee:
They want us to find the probability that the committee will consist of at least one student, which means that
=(Total possible outcome - committee with no student) / Total possible outcomes
So we need to find the possible outcomes of committee with no student:
=
=> the probability that the committee will consist of at least one student.
= (12650 - 5) / 12650
= 0.9996
= 99.96%
Hope it will find you well.
In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means


Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :

But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.
Decimal fractions don't exist. Do you mean convert to a decimal and a fraction?
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:

The total earnings is: $1850, so we have:

Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)


Divide through by 2


Substitute 105 for y in (1)

Make x the subject

Substitute 105 for y


Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour