Answer:
(3/2,0)
Step-by-step explanation:
Substitute 0 for y and solve for x
Answer:
3.5 or 3 1/2 feet of the shelf
Step-by-step explanation:
Answer:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by

Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be

So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation

When converting to centimeters

Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by

where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters

Hence, the z score would remain the same
Answer:
Rational Number. Any number that can be written as one integer over another. Includes positive numbers, negative numbers, zero, whole numbers, integers, fractions, terminating decimals, and repeating decimals. Ex: 1/4, 5, -9, 1.8, 1.33333.
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(e)
-
= 1
Multiply through by 12 to clear the fractions
4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify
8x - 4 - 9x + 3 = 12
- x - 1 = 12 ( add 1 to both sides )
- x = 13 ( multiply both sides by - 1 )
x = - 13
---------------------------------------------------------------
(f)
- 5 = 24 ( add 5 to both sides )
= 29 ( multiply both sides by 4 )
3m = 116 ( divide both sides by 3 )
m = 
--------------------------------------------------------------
(g)
-
= 3
Multiply through by 6 to clear the fractions
15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify
15y + 30 - 8y - 8 = 18
7y + 22 = 18 ( subtract 22 from both sides )
7y = - 4 ( divide both sides by 7 )
y = - 