Answer:
I'd say that is an "occupancy problem".
I ran a spreadsheet simulation of that and I'd say the probability is approximately .13
Those problems are rather complex to solve. What I think you would have to do is calculate the probability of
A) ZERO sixes appearing in 4 rolls.
B) exactly 1 six appears in 4 rolls.
C) exactly 2 sixes appear in 4 rolls.
D) exactly 3 sixes appear in 4 rolls. and
E) exactly 4 sixes appear in 4 rolls.
4 rolls of a die can produce 6^4 or 1,296 combinations.
A) is rather easy to calculate: The probability of NOT rolling a six in one roll is 5/6. In 4 rolls it would be (5/6)^4 = 0.4822530864
E) is fairly easy to calculate: The probability of rolling one six is (1/6). The probability of rolling 4 sixes is (1/6)^4 = 0.0007716049
Then we need to:
D) calculate how many ways can we place 3 objects into 4 bins
C) calculate how many ways can we place 2 objects into 4 bins
B) calculate how many ways can we place 1 objects into 4 bins
I don't know how to calculate D C and B
Step-by-step explanation:
9×10^-3 + 24×10^-6 : 12×10-3
9×10^-3 + 2×10-3
11×10^-3
Answer:
see below
Step-by-step explanation:
See attached screenshot (too time consuming to type out using latex, so used MS word).
Answer: B
Step-by-step explanation:
<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>

<em><u>Solution:</u></em>
Given that,
We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line
From given,
-5x + 4y = 8
Rearrange to slope intercept form
4y = 5x + 8

On comparing the above equation with slope intercept form,

We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to the line -5x + 4y = 8 is:



Substitute c = 13 and m = 5/4 in eqn 1

Thus the equation of line in slope intercept form is found