Part I:
1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.
2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.
Part II:
Here you can see 36 possible outcomes.
1. The probability that at least 1 die is a 4 is:
- (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).
2. The probability that the sum of the dice is greater than 5 is:

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

Answer: 80°
Step-by-Step Explanation:
By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°
Finding the Value of ‘x’ :-
2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20
Finding each Angle :-
2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°
Hence, the Largest Angle is 80°
9514 1404 393
Answer:
(a) x = (3 -ln(3))/5 ≈ 0.819722457734
(b) y = 10
Step-by-step explanation:
(a) Taking the natural log of both sides, we have ...
2x +1 = ln(3) +4 -3x
5x = ln(3) +3 . . . . . . . . add 3x-1
x = (ln(3) +3)/5 ≈ 0.820
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(b) Assuming "lg" means "log", the logarithm to base 10, we have ...
log(y -6) +log(y +15) = 2
(y -6)(y +15) = 100 . . . . . . . taking antilogs
y^2 -9x -190 = 0 . . . . . . . . eliminate parentheses, subtract 100
(y -19)(y +10) = 0 . . . . . . . . factor
The values of y that make these factors zero are -19 and 10. We know from the first term that (y-6) > 0, so y > 6. That means y = -19 is an extraneous solution.
The solution is ...
y = 10
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When solving equations using a graphing calculator, it often works well to define a function f(x) such that the solution is f(x) = 0, the x-intercept(s). That form is easily obtained by subtracting the right side of the equation from both sides of the equation. In part (a) here, that is ...
f(x) = e^(2x+1) -3e^(4-3x)
Easy divide the numbers 310 and 40 like this
310÷40
ANSWER
7.75
I think you are missing part of the problem. If you had another equation or a value for x you could solve it.