Answer:
The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.
Step-by-step explanation:
For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.
There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.
Answer:

Step-by-step explanation:

Answer:
10 feet per second most prob
Step-by-step explanation:
Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016