Answer:
Step-by-step explanation:
Probability is found by dividing the number of favorable outcomes by the total number of outcomes.
For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.
The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).
This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>
Answer:
Step-by-step explanation:
y =4/3 x+4
slope intercept form
y = mx+b
the y intercept is 4 (0,4)
and the slope is 4/3 which is change in y over change in x
we go up 4 to the right 3
we can rewrite the slope as -4/-3
so we can go down 4 and to the left 3
this would be point (-3,0)
we have 2 points marked, now draw a line throught them
By the fundamental theorem of calculus,
Now the arc length over an arbitrary interval
is
But before we compute the integral, first we need to make sure the integrand exists over it.
is undefined if
, so we assume
and for convenience that
. Then
Answer:
Step-by-step explanation:
y = 4x is proportional and linear ( y = coffienient(x) )
y = -4x - 3 is not proportional because it has a costant ( -3 )
They are both an equation, they have a coffienient, and a value like (x)
If the number only has 2 digits, it could only be 91, because since the tens digit is 8 more than the ones digit, the tens digit is greater than or equal to 8. it cannot be 10 or more, because that would make the number over 100, leaving only 8 and 9. If the tens digit is 8, the ones digit is zero, and since it cannot be zero, then the tens digit must be 9, leaving the ones digit to be 1. So, the final answer is 91.
