Answer:
336
Step-by-step explanation:
8P3
=8!(8-3)!
=8!5!
=8x7x6
=336
Answer:
y = mx+b
m represents the slope and b represents the y-intercept
since you have the slope and a point you can find here the line crosses the y-axis
y = -1/2x + b
the point (-14, 6) can be substituted into the eq for x and y
(6) = -1/2(-14)+b
6 = 7 +b (subtract 7 from both sides)
-1 = b
The line crosses the y-axis at -1
Answer:
The probability that a call last between 4.2 and 4.9 minutes is 0.4599
Step-by-step explanation:
Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

We will use
, the cummulative distribution function of W. The values of
are well known and the can be found in the attached file

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599
You said ax + 3b = 2f
Subtract 3b from each side: ax = 2f - 3b
Divide each side by 'a' : x = (2f - 3b) / a
If you're rolling a single cube, then ...
-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = <em>16-2/3 %</em> .
If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.
If you're rolling a pair of cubes, then ...
-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)
-- The probability of rolling one of those is
(7/36) = <em>19-4/9 %</em> .
If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.