Answer:
5x- 9 is your expression
Step-by-step explanation:
Decreased means subtraction and the product of any two numbers is multiplication.
Division Keyword: Divided by, or Quotient of.
Multiplication Keyword: Product of, or Multiplied by.
Subtraction Keyword: Subtracted from, or Decreased by.
Addition Keyword: Added to, or Increased by.
If there is no Variable then place the common Variables: X, Y, Z.
Answer:
a) The decimal point is 1 digit(s) to the right of the |
0 | 6
1 | 0
2 | 35
3 | 26
4 | 1
5 | 2257
6 | 045
7 | 0456789
8 | 001125
9 | 258
b) The relative frequency histogram as attached diagram.
As shown, the plot is skewed to the left.
c)
i) mean = 62.7
ii) median = 72
iii) Standard deviation = 24.87923
Step-by-step explanation:
a) The first approach is to sort the data in ascending or descending order. Next, we Identify the minimum grade and the maximum grade. We then list the stems based on the minimum and maximum. And we construct the stem and leaf diagram as show. The first digit represents the stem and the last digit represents the leaf.
As shown, all the grade are two digits value, with minimum as 06 and maximum as 98. In this case, the first stem is 0 and the last stem is 9.
Others (b & c) are just the usual calculations.
Answer:
Step-by-step explanation:
<u>Simplify:</u>
- √5(√8 + √18) =
- √5*8 + √5*18 =
- √40 + √90 =
- √4*10 + √9*10 =
- 2√10 + 3√10 =
- (2 + 3)√10 =
- 5√10
<u>The value of a:</u>
4x - 2y = 14
y = 1/2x - 1
4x - 2(1/2x - 1) = 14
4x - x +2 = 14
3x + 2 - 2 = 14 - 2
3x = 12
3x / 3 = 12/3
x = 4
2x = y -10
2x + 7 = 2y
y - 10 + 7 = 2y
y -y -10 + 7 = 2y - y
-3 = y
8x - 1/3 y = 0
12x + 3 = y
8x - 1/3y = 0
8x -1/3( 12x + 3) = 0
8x - 4x - 3 = 0
4x -3 + 3 = 0 + 3
4x / 4 = 3/4
x = 3/4
Answer:
450,000 codes
Step-by-step explanation:
Number of digits in the access code = 6
Conditions:
- First digit cannot be 2
- Last digit must be odd
Since, there are 10 digits in total from 0 to 9 and first digit cannot be 2, there are 9 ways to fill the place of first digit.
Last digit must be odd. As there are 5 odd digits from 0 to 9, there are 5 ways to fill the last digit.
The central 4 digits can be filled by any of the 10 numbers. So, each of them can be filled in 10 ways.
According to the fundamental rule of counting, the total possible codes would be the product of all the possibilities of individual digits.
Therefore,
Number of possible codes = 9 x 10 x 10 x 10 x 10 x 5 = 450,000 codes
Hence, 450,000 different codes are possible for the lock box
