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
I think the answer would be 15, 8•15=120, leaving 3 points left which would be an multiple choice question, hope this helps:))
You move the decimal point forward until it reaches the one so it looks like this:
1.4 x 10⁵
the exponent, 5, just tells you how many spaces the decimal point moved.
So square feet is area which is legnth times width or area=lw or a=lw
width=w=2 2/4
2/4=1/2
w=2 1/2=5/2
a=lw
11 11/16=187/16
187/16=l(5/2)
multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)
374/80=legnth
simplify
374/80=187/40=4 27/40=legnth
legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit
Answer:
2 to 3 in simplest form
Step-by-step explanation: