Answer:
2/9
Step-by-step explanation:
Total outcome = 36
Sum of 7 = 6
Prob of sum of 7 = 6/36
Sum of 11 = 2
Prob of sum of 11 = 2/36
Prob of sum of 7 or 11 = 6/36+2/36
Prob of sum of 7 or 11 = (6+2)/36
Prob of sum of 7 or 11 = 8/36 = 2/9
(1.2×10^2) + (3.04×10^5)
They must be to the same power to add
3.04 *10^5 to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2
1.2 * 10^2 + 3040 *10^2=
add the numbers keep the exponents the same
3041.2 * 10^2
there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent
3.0412 * 10 ^ (2+3)
3.0412 * 10^5
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:







d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209