Answer:
36
Step-by-step explanation:
"Two more" = + 2
"quotient of a number and 6" = n/6
"equal to 8" = = 8
Set the equation:
n/6 + 2 = 8
Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 2 from both sides.
n/6 + 2 (-2) = 8 (-2)
n/6 = 8 - 2
n/6 = 6
Isolate the variable n. Multiply 6 to both sides.
(n/6)(6) = (6)(6)
n = 6 * 6
n = 36
36 is your answer.
~
Answer:
And if we solve for a we got
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
7.71 feet is your answer.
Answer:
80%
Step-by-step explanation:
To find percent decrease (new amount/original amount)*100
(500/625)*100
=80
--
to check
625*.80
=500
or
625*80%
=500