Answer:
Null Hypothesis: The proportion of clients satisfied at the uptown office is 76%.
Alternative Hypothesis: There is no difference in the satisfaction between the uptown and the downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is greater than the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: Downtown clients are less satisfied with the dental office staff than uptown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is 84%.
Alternative Hypothesis: Uptown clients are more satisfied with the dental office staff than downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is equal to the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: There is a difference in the satisfaction between the uptown and the downtown clients.
Step-by-step explanation:
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After 10 hours the temperature is shown on the graph as 30 degrees.
50 degrees - 30 degrees = 20 degrees.
The temperature dropped 20 degrees in 10 hours.
Divide the change by the time:
20 degrees / 10 hours = 2 degrees per hour.
Because the temperature dropped, the change would be negative.
The answer is D. -2 degrees per hour.
There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n
=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
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The cost to equip all the stations in the chemistry lab is calculated as: $393.75.
<h3>How to Calculate Total Cost?</h3>
In this scenario, we are given the following:
Total number of stations = 21 stations
Length of rubber tubing each of the stations in the chemistry lab needs = 5 feet
Total length of rubber tubing needed for all stations in the chemistry lab = 21 × 5 = 105 feet
Cost of 1 rubber tubing = $6.25 per yard
Convert 5 feet to yard:
1 yard = 3 feet
x yard = 5 feet
x = (5 × 1)/3
x = 5/3 feet.
So, the cost of 1 rubber tubing = $6.25 per 5/3
Cost of total length of tubbing needed = (105 × 6.25)/5/3 = (105 × 6.25) × 3/5
Cost of total length of tubbing needed = $393.75
Therefore, the cost to equip all the stations in the chemistry lab is calculated as: $393.75.
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Answer:
<h2>(55/27, 32/9)</h2>
Step-by-step explanation:
The system of equations is
The first step is to arrange like terms in colums, which is already done.
Then, we need to multiply a number by one equation in such way where we get opposite like terms. Notice that we need to multiply the first equation by -1
Then, we sum equations to obtain the value of one variable.
Now, we use this value to find the second variable
Therefore, the solution is (55/27, 32/9).
(The image attached shows the graphic solution)
