Answer:
(A) P (D > 0) = 99.38%
(B) P (D > 15) = 10.56%
Step-by-step explanation:
The random variable D = difference, is defined as the difference between the reading test scores after and before the program.
The random variable <em>D </em>follows a normal distribution with mean, and standard deviation, .
(A)
Compute the probability that the children showed any improvement, i.e.
P (D > 0):
Use the standard normal random variable to determine the probability.
The percentage of children showed any improvement is:
0.9938 × 100 = 99.38%
Thus, 99.38% of children showed improvement.
(B)
Compute the probability that the children improved by more than 15 points, i.e. P (D > 15):
Use the standard normal random variable to determine the probability.
The percentage of children improved by more than 15 points is:
0.1056 × 100 = 10.56%
Thus, 10.56% of children showed improvement by more than 15 points.
4x+7=x+10
3x+7=10
3x=3
x=1
PLZ Make Me Brainliest
Answer:
y = 3x - 1
Step-by-step explanation:
Let's start with the two points.
y = mx + b
-19 = -6m + b
5 = 2m + b
Subtract the first from the second.
24 = 8m
m = 3
5 = 2*3 + b
b = -1
Answer:
86.36%
Step-by-step explanation:
Answer:
63 square units
Step-by-step explanation:
Area of the rhombus = Base × Height
Given
Base = x = 9unit
Height = h = 7units
Substitute into the formula
Area of the rhombus = 9×7
Area = 63units²
Hence the required area of the rhombus is 63 square units