Is -5 a solution to the equation 6x +5 = 5x + 8 + 2x? Explain.
1 answer:
Answer:
No -5 is not the solution, But x =-3 is the solution.
Step-by-step explanation:
Given:
We need to find the solution for above equation we get;
Solution:
Now when we put the value of x =-5 we get
hence -5 is not the Solution for given equation.
On Solving the above equation we get;
Now Combining the like terms we get;
Now Using Subtraction property we get;
Hence The solution to equation is -3.
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Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So
Rounding up:
19 beers must be sampled.