Answer:
One solution
Step-by-step explanation:
Group like terms: 
: 
Simplify: 
Add 11 to both sides
Simplify: 2b=4b+4
Subtract 4b from both sides
Simplify: -2b=4
Divide
And finally, you get -2
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Answer:
Speed = 24 km/h
Step-by-step explanation:
Speed = Distance / Time
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
Distance = 12 km
Time = 0.5 Hours
Speed = 12 / 0.5
Speed = 24 km/h
Answer:
B=30
Step-by-step explanation:
B+35=65
you subtract by 35, and it cancels out on the left side.
what you do to one side you have to do to the other, so you subtract 35 from 65 and you get 30.
......
B=30
Answer:
t-test for difference in 2 population means with Equal Variance.
Step-by-step explanation:
We have the following data:
For Process A:
Sample Mean = 2
Standard Deviation = 1
Sample size = 12
For Process B:
Sample Mean = 3
Standard Deviation = 0.5
Sample size = 14
A researcher is interested in determining if the two process yield different average errors and we have to identify which type of test will be used here. Following are the points to look for in order to decide for the right statistical test:
Do we know the value of Population Standard Deviation or not?
If the value of Population standard deviations is known, then Two sample z-test is used, else we use t-tests. Since, the value of population standard deviations is unknown, we will move to t-tests. We have two options in t-test.
- t-test for 2 population means with equal variance
- t-test for 2 population means with unequal variance
Since it is mentioned in the statement that population standard deviations are assumed to be equal, this means population variances (which are square of the standard deviations) will also be equal.
Therefore, the test which must be used is:
t-test for difference in 2 population means with Equal Variance.