Answer:
y = 2x - 5
Step-by-step explanation:
The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.
Now we have y = 2x - k.
Then, we plug in the coordinates to our new equation to solve for k.
-1 = 2(2)-k
-1 = 4-k
k = 5
So the final equation would be y = 2x - 5
Answer:
area of circle=πr²=π50²=2500πunit²
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Answer:
554 executives should be surveyed.
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 = 1.96.
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.
Standard deviation of 3 hours.
This means that 
The 95% level of confidence is to be used. How many executives should be surveyed?
n executives should be surveyed, and n is found with
. So






Rounding up:
554 executives should be surveyed.
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