Answer:
2 to the power of 2 +
Step-by-step explanation:
Distribute
Eliminate redundant parentheses
Subtract the numbers
Combine like terms
Combine like terms... again
Multiply by 1 = 2 to the power of 2 +
The z-value that corresponds to a two-tailed 95% confidence interval is z = +/- 1.96. Then the bounds of the confidence interval can be determined as:
Lower bound = mean - z*SD/sqrt(n) = 20 - 1.96*2/sqrt(100) = 20 - 0.12 = 19.88 hours
Upper bound = mean + z*SD/sqrt(n) = 20 + 1.96*2/sqrt(100) = 20 + 0.12 = 20.12 hours
So the first choice is the correct answer: 19.88-20.12 hours
$409.80.
The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.
However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:
500-470 = 30 containers not sold
30(0.50) = 15
So the total profit is $394.80 + 15 = $409.80.
Answer:
x = 22, The length of BC is 22
Step-by-step explanation:
It is shown that angle ACB and angle ABC are congruent (The measure of angles are the same) in the picture. Since the angles are congruent, we can say that AC = AB because of base angle theorem converse. We can then substitute the given numbers in for AC and AB. We would then get 2x - 24 = x - 2. If you solve, you would get that x = 22 (The length of BC is 22).
