Step-by-step explanation:
a probability is always desired cases over total possible cases.
the bag has 4 + 7 + 8 + 6 = 25.
so, when we pick a random M&M we have total 25 possible outcomes.
the desired cases are to pick a green or a blue M&M.
that means these are 7+8 = 15 cases.
the probability to pick one or of the desired cases is
15/25 = 3/5 = 0.6
9514 1404 393
Answer:
23) x = ±3i, ±√2
26) x = 4/3, (-2/3)(1 ± i√3)
Step-by-step explanation:
23) Put in standard form to make factoring easier.
x^4 +7x^2 -18 = 0
(x^2 +9)(x^2 -2) = 0 . . . . factors in integers
Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:
(x -3i)(x +3i)(x -√2)(x +√2) = 0
x = ±3i, ±√2
___
26) This will be the difference of cubes after you remove the common factor.
81x^3 -192 = 0
3(27x^3 -64) = 0
(3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes
The complex roots of the quadratic can be found using the quadratic formula.
x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)
Then the three solutions to the equation are ...
x = 4/3, (-2/3)(1 ± i√3)
the number of ways 15 students can be selected from a class of 32 students
Here the number of students to be selected = 15
And the total number of students = 32
So the Number of ways 15 students can be selected from a class of 32 students should be
32 C 15 ,
it means we have to solve 32 C 15 ,
for this we need to see the 15th row of the pascals triangle.
Amy earns $0.16 per unit for the work she does. For all units she produces in a week over 1,000, she receives $0.26. What were her weekly earnings if she produced 1,725 units in one week?
Answer: The number of units produced by Amy in one week 
For the first 1000 units, she earns $0.16 per unit. Therefore, her total earning's for the first 1000 units is $0.16 x 1000 = $160
For the remaining 1725 - 1000 = 725 units, she earns $0.26. Therefore, her total earning for the 725 units is $0.26 x 725 = $188.5
Therefore, Amy's total for one week = $160 + $188.5 = $348.5
Hence, the option b. $348.50 is correct