Answer:
a) 68.2%
b) 31.8%
c) 2.3%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 530
Standard Deviation, σ = 119
We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.
Formula:

a) P(test scores is between 411 and 649)

b) P(scores is less than 411 or greater than 649)

c) P(score greater than 768)
P(x > 768)


Calculation the value from standard normal z table, we have,

Would -3,-4 be your answer to get the X intersept
Answer:
98
Step-by-step explanation:
Step 1: Define
2(x + y)²
x = 3
y = 4
Step 2: Substitute and Evaluate
2(3 + 4)²
2(7)²
2(49)
98
Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
Answer:

Step-by-step explanation:

Or, if you mean (r+3Q)/h=t:
