Answer:
No Solution
Step-by-step explanation:
So we have the inequality:
Distribute on the right:
Subtract 6w from both sides:
5 is <em>not</em> greater than 6.
Therefore, the answer to this inequality is no solution.
Answer: 1/3
Step-by-step explanation:
Here is the complete question:
machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
The Probability of the above question will be calculated as:
= (10-9) / (11.5 - 8.5)
= 1/3
The above is the easier way to solve this
Answer:
Kayla plays on average 0.2 more chess games than Becker
Step-by-step explanation:
The first thing we must do is calculate the mean of each one.
Becker:
(5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10 = 2.8
Kayla:
(2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10 = 3
if we subtract these averages, we have to:
3 - 2.8 = 0.2
which means that Kayla plays on average 0.2 more chess games than Becker. Since it is not even a complete game, the difference between the two is very small and almost irrelevant.
Multiply the hours worked by the wage,
5x25=125 7x20=140,
Add the two totals,
140+125=265,
Divide total made by hours worked,
$265/12=22.08 dollars an hour.
Given:
The garden is a right triangle with base 10m and height 15m.
To draw:
The garden such that 1 unit on the grid below represents 2 m.
Solution:
We have,
1 unit = 2 m
So,
1 m = 0.5 units
Using this conversion, we get
10 m = 5 units
15 m = 7.5 units
Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.