Solve for x:
x^3 + x^2 + 4 x + 4 = 0
The left hand side factors into a product with two terms:
(x + 1) (x^2 + 4) = 0
Split into two equations:
x + 1 = 0 or x^2 + 4 = 0
Subtract 1 from both sides:
x = -1 or x^2 + 4 = 0
Subtract 4 from both sides:
x = -1 or x^2 = -4
Take the square root of both sides:
Answer: x = -1 or x = 2 i or x = -2 i
Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Her total value would be 380.
Quarters=25 7(25)
Dimes=10 11(10)
Nickels=5 15(5)
175 + 110 + 75 = 360
7 + 11 = 18 + (2 more pennies) = 20
360 + 20 = 380
Answer:
Step-by-step explanation:
Separate into two shapes with
then use fomula length * width * height
shape 1: 7*8*10=560cm^3
Shpe 2: 5*8*6 =240cm^3
Add the two shapes 560+240=800cm^3