Answer:
38%
Step-by-step explanation:
Given that X,the hours per week the music student practice follow a normal distribution.
X:N(8,4)
We have to find the percentage of students who practice between 6 and 10 hours.
6<x<10 implies converting to z
We know z = (x-mean)/sigma = (x-8)/4
Hence 6<x<10 is equivalent to (6-8/4)<Z<(10-8/4)
= |z|<0.5
From std normal table we find this area equals = 0.1915+0.1915
=0.3830 = 0.38 (rounded off)
Hence required percentage = 0.38x100 = 38%
Answer:
-2 is your answer.
Step-by-step explanation:
You will use the slope formula to find the slope of the equation.
5 and -5 are your y's. -2 and 3 are your x's.
5 - (-5)/-2 - 3 = 10/-5 = -2.
-2 is your answer.
Answer:
Step-by-step explanation:
You are given this data:
![\left[\begin{array}{cccccccccccc}long&0&1.5&3&4.5&6&7.5&9&10.5&12&13.5&15&&\\Area&0&18&59&78&93&105&118&128&63&38&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccccc%7Dlong%260%261.5%263%264.5%266%267.5%269%2610.5%2612%2613.5%2615%26%26%5C%5CArea%260%2618%2659%2678%2693%26105%26118%26128%2663%2638%260%5Cend%7Barray%7D%5Cright%5D)
First, calculate the x points by dividing the total length in 5:
x=3,6,9,12,15
Now you calculate the half point of the x axis intervals you just calculated:
and find the function values of each of them (the Area for each cut):
A(1.5) = 18
A(4.5)=78
A(7.5)=105
A(10.5)=128
A(13.5)=38
Now you have formed the rectangles (see diagram below).
To calculate the volume, just use the next equation given by the midpoint rule:
Answer:
x = 2, - 3/2.
Step-by-step explanation:
|4x - 1| = 7
4x - 1 = 7 or 4x - 1 = -7
4x = 8 or 4x = -6
x = 2 , x = -3/2.
Answer:
4x-111
Step-by-step explanation:
let 'my number' be 'x'
x-15 -> (subtract from x)
4(x-15) -> (multiply result from (x-15) by 4)
4(x-15) - 51 -> (subtract 51 from result from [4(x-15)])
4x-60-51
4x-111
This is the expression for the number
