12w - 13 - 11w + 24 = 77
combine like terms
w + 11 = 77
subtract 11 from both sides
w = 66
Answer:
Percentile 5
And if we solve for a we got
Percentile 95
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and
We want to find the percentiles 5 and 95 for this case.
Percentile 5
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We want to find a percentile with 0.95 of the area on the left and 0.05 of the area on the right it's z=-1.64. On this case P(Z<-1.64)=0.05 and P(z>-1.64)=0.05
Using this condition we got:
Replacing we got:
And if we solve for a we got
Percentile 95
And if we solve for a we got
Fractions and whole numbers ordered on the number line are similar because it tells parts throughout the line, like skip counting using adding or subtraction for example.
Whats different from them is because the fractions tell the parts more detailed between the whole numbers, such as 2 3/4 as a fraction on the number line. And 3 as a whole number on the number line.
Forget about the negative sign. First you have to find a least common denominator. This would be 63. Since we had to multiply 9 by 7 to get 63 we have to multiply the numerator (4) by 7. This gives us a new fraction of 36/63. Since we ha e to multiply 21 by 3 to get 63 we have to multiply 19 by 3. This gives us 57. So now we have 36/63 and 57/63. Then we add the negative sign back in making 57/63 -57/63. Now we add them together. Because one has a negative sign and one is positive the number has to be closer to zero. So the answer is -21/63.