Answer:
x=-13/2
Step-by-step explanation:
13 3/4=55/4
7 1/4=29/4
---------------------
55/4+x=29/4
x=29/4-55/4
x=-26/4
simplify
x=-13/2
Answer:
28.8 km/h
Step-by-step explanation:
I used the calculator, but I don't know any formulas for changing m/s km/h.
But I hope this helps!
<span>C' x + 1 < 5 ; x < 4 ...............................................................................................</span>
x-5= 0
move -5 to the other side
sign changes from -5 to +5
x-5+5= 0+5
x= 5
x-6= 0
x-6+6= 0+6
x= 6
Answer: B. 5 and 6
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