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.
Answer
Option C : 2214(5)
Solution
The given number is 465 in base 8. To convert this number to base 5,we need to convert this number to base 10, then only we can compute the number in base 5
Step1 : Convert 465 to the base 8 to base 10
4 x 82=256
6 x 81=48
5 x 80=5
Adding 256 + 48+ 5 = 309(10)
Step2 : Convert 309(10) to base 5
5 | 309
5 | 61 |4
5 | 12 | 1
5 | 2 | 2
5 | 0 | 2
Therefore Answer = 2214(5 )
Answer:
2/20
Step-by-step explanation:
because 9+5+6=20 and if you draw 2 red socks then that would be yur numerator
<u>Answer:</u>
The money will gavin have after 5 years is 1616.59$
<u>Explanation:</u>
We know that compound interest is given by

Where A = final amount
P = Principal amount = $1500 (given)
r = interest rate = 1.5% = 0.015
n = no. of times interest applied per time period = given quarterly = 4
t = time period = 5 years
So,


= 1616.59$ which is the money will gavin have after 5 years