X=13 1/3
So first you have to add 16 +4 = 20. Then, simplify 3/2 to 1.5. Finally divide 20 by 1.5 = 13.333333333, or 13 1/3
Radius = 13 inches
Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches
1 revolution = 81.64 inches
30 revolutions = 2449.2inches
Answer:
b) 95%
Step-by-step explanation:
We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.
First of all, we will find z-scores of each data point as:




Let us find z-score corresponding to normal score 88.6.



To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.
The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.
<u>Answer-</u>
<em>The line equation is,</em>

<u>Solution-</u>
The line
meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so



So, coordinate of M is 
The line
meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so



So, coordinate of N is 
The line joining M and N can be found out by applying two point formula of straight line,







As it is given that all the coefficients are integers, so multiplying with 3
