The equation in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y) is y = $5 + $15x.
An equation in slope intercept form is usually written as: y = mx + b
Where:
If I earn $15 per hour when I babysit, the amount I earn increases by $15 every hour. $15 is the slope of the equation. After 3 hours, the total amount I would earn is: $15 x 5 = $45.
In order to determine the intercept, subtract $45 from $50.
$50 - $45 = $5.
A similar question was solved here: brainly.com/question/15355500
I'm guessing the series is supposed to be
By the ratio test, the series converges if the following limit is less than 1.
The first
terms in the numerator's denominator cancel with the denominator's denominator:
also cancels out and the remaining factor of
can be pulled out of the limit (as it doesn't depend on
).
which means the series converges everywhere (independently of
), and so the radius of convergence is infinite.
Answer:
wwdwaDwadfafwfwefwfwefwefwefwefwefwweqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Step-by-step explanation:
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
