Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Answer: See attached table
Step-by-step explanation:
+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
<u>Proofs:</u>
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12
Given:
25.83 - part
52.5% percentage of the part against the whole
To get the whole number, we need to divide the part by its corresponding percentage.
25.83 ÷ 52.50% = 49.20
49.20 is the whole number wherein 25.83 represents 52.50% of it.
Answer:

Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
so
1) Find the slope of the given line 
The slope is 
2) Find the y-intercept of the given line 
The y-intercept is 
therefore
The equation of the line with


is equal to
