Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
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
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
The triangles are similar so the angles are equal
2x^2 - 2 = 10x - 2
2x^2 - 2 - 10x + 2 = 0
2x^2 - 10x = 0
2x(x - 5) = 0
2x = 0 OR x - 5 = 0
x = 0 OR x = 5
0 doesn't make sense, because IF I plug 0 into 2x^2 - 2 I get a negative number. We need to use 5 to find the angle measure
2(5^2) - 2 = 2(25) - 2 = 50 - 2 = 48 degrees or the measure of CED
Answer:
divide the apples and peaches then multiply it by the ratio you get when you divide the two different fruits
Step-by-step explanation:
hope it helps
Divide both sides by -14.
Answer:
m=2
To find the average, add up all the numbers, then divide that answer by the quantity of numbers.
STEP 1:
add all numbers
=30 + 20 + 0 + 0 + 0 + 0 + 120
=170 total
STEP 2:
divide total from step 1 by 7 (total quantity of numbers given, including zeros)
=170 ÷ 7
=24.2857
=24.3 rounded to nearest tenth
***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).
ANSWER: The average number of minutes studied per day is 24.3.
Hope this helps! :)
