Answer:
Step-by-step explanation:
The theoretical result is 0.2 * 20 = 4
The experimental result is 1/2 * 20 = 10
The difference is 10 - 4 = 6
The probability difference = 6/20 = 0.3
Answer:
The two numbers are 12 , 10
Step-by-step explanation:
Given as :
The least common multiple of two numbers = LCM = 60
The ratio of the greater number to lesser number = 6 : 5
let the greater number = 6 x
And The smaller number = 5 x
∵ The LCM of numbers = 60
So, 6 × 5 × x = 60
Or, 30 × x = 60
∴ x = 
I.e x = 2
So The greater number = 6 x = 6 × 2 = 12
And The smaller number = 5 x = 5 × 2 = 10
Hence The two numbers are 12 , 10 Answer
X= # of multiple choice questions
y= # of word problem questions
EQUATION 1:
x + y= 25
EQUATION 2:
3x + 4y= 90
STEP 1:
solve for one variable in equation 1
x + y= 25
subtract y from both sides
x= 25 - y
STEP 2:
substitute x=25-y in equation 2
3x + 4y= 90
3(25-y) + 4y= 90
75 - 3y + 4y= 90
75 + y= 90
subtract 75 from both sides
y= 15 word problems
STEP 3:
substitute y value to find x
x + y= 25
x + 15= 25
x= 10 multiple choice questions
ANSWER: There are 15 word problems and 10 multiple choice questions.
Hope this helps! :)
Length is 3 times the width
So L = 3W
If L is decreased by 4m and with increased by 1m and perimeter is 66 then
2(3W - 4) + 2(W + 1) = 66
6W - 8 + 2W + 2 = 66
8W - 6 = 66
8W = 72
W = 9
L = 3 x 9 = 27
Width of rectangle = 9 m and length = 27 m
New rectangle:
Width is increase by 1 m = 9 + 1 = 10 m
Length is decreased by 4 m = 27 - 4 = 23 m
Answer
Dimensions of new rectangle are 10 m and 23 m
