Answer:
when x is:
1; y = 12
2; y = 10
5; y = 4
6; y = 2
Step-by-step explanation:
Substitute each value of x to obtain respective y values
Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e
.
The line is perpendicular to x-axis and cuts the x-axis at
.
Therefore , the angle between the line and x-axis is
.
So , slope
i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
<h2>
Answer with explanation:</h2>
Given : A standardized exam's scores are normally distributed.
Mean test score : 
Standard deviation : 
Let x be the random variable that represents the scores of students .
z-score : 
We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .
For x= 1900

Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 1240

Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 2190

Since it is greater than 1.96 , thus it is unusual.
For x= 1240

Since it lies between -1.96 and 1.96 , thus it is not unusual.
Answer:
18
Step-by-step explanation:
Given the data:
180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg
The interquartile range (IQR) = Q3 - Q1
Reordering the data:
180, 188, 190, 192, 195, 200, 205, 209, 250
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) = 7.5 th term = (205+209)/2 = 207
Q1 = 1/4(n+1)th term
Q1 = 1/4(10) = 2.5th term = (188+190)/2 = 189
Q3 - Q1 = 207 - 189 = 18
Answer:
2
Step-by-step explanation:
(2/3)3= 2× 3/3 = 2×1 (since 3/3=1)
=2