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.
Okay, so if Chaz has a balance of -52.00, and Willis has a balance of -59.25, this means that Willis is further into debt. Chaz would be correct to say that Willis owes more money to the bank. The further into the negatives your bank account is, the more money you owe. Willis owes the bank 7.25 more than Chaz owes.
Answer:
y= -3/4x+7
The line of y=-3/4x+7 goes through the points of (0,7) and (4,4). They also have the same y-intercept
Lines that are perpendicular will have slopes that are opposite reciprocals. The slope of y=7/6x+4 is 7/6. So we need to find the opposite reciprocal of 7/6. Opposite would make the number negative and reciprocal would switch the numerator with the denominator. So the slope of any line reciprocal to y=7/6x+4 would be -6/7. Then you can use any real number as the y intercept for the new equation.
An acceptable answer would be
y= -6/7x+10
But the number 10 could be replaced by any real number.
Answer:
Total percentage of income for taxes is 39%
Step-by-step explanation:
The percentage of gross income going to taxes and FICA is: 44% 31% 69% 11%
The average of this is: (44 + 31 + 69 + 11)/4
= 155/4
= 38.75
≈ 39%