Answer:
Step-by-step explanation:
Start by removing the brackets.
Left Brackets
30(1/2 x - 2)
30*1/2 x - 30*2
15x - 60
Right Bracket
40(3/4 y - 4)
40*3/4 y - 4*40
10*3 y - 160
30y - 160
Now put these 2 results together.
15x - 60 + 30y - 160 Combine the like terms.
15x + 30y - 220 That's one answer Others are possible.
5(3x + 6y - 44)
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.
Answer:
n = -7
Step-by-step explanation:
49 = -5n - 2n
combine like terms
-5 - 2 = -7
49 = -7n
divide both sides by -7
49/-7 = -7n/-7
49/-7 = n
49/-7 = -7
-7 = n
The formula is d=C/π.
The diameter is 2 times the radius
The formula for the circumference using the radius is 2πr.
in order to do this backwards, we would have to do 16÷2÷π, but we're not looking for the radius.
Therefore, we take out the ÷2 part, which would be 16÷π
16 is the circumference
16÷π=d
d=C÷π
