Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:
From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:
From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:
From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:
For x > 100:
From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:
Option 5 is incorrect
6) For x = 130:
Since 1.5 is between 1 and 2, option 6 is correct
Slope= 1/2
Y intercept= (0,2)
Explanation:
Slope-intercept form is y=mx+b
-2x+4y=8
-8-2x=-4y
Divide by -4
2+1/2x=y
Y=1/2x+2
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let 
Rewrite the equation to find the coordinates of C
and 
Solve for each:
Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let 
and 
Solve for each:
Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
Answer:
Hello!!
If the ratio of girls to boys in a class is 3:5, the fraction of the class that are girls is...
Hope this helps!!
(2/3)/5
Yes. (2/3)/5 is the same as 2/15 because:
(2/3) = (0.67)/5 = 0.133 (continuing)
(2/15) = 0.133 (countinuing)
hope this helps
