Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
Answer:
4800m
Step-by-step explanation:
"correct to the nearest 10 meters" means that the height can vary ± 10 meters.
4810 m ± 10 m = 4800 to 4820
4800 is the least possible height.
Solve. -6 = 14 - z/3Subtract 14 from both sides
-20 = -z/3
Multiply -3 by both sides to get rid of the negative and 3 with the z.
z= 60
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
That decimal would be: 32% = 0.32
So, your answer is 0.32
Hope it helped.