Answer:
3b: 1/26
4i: 1/4
4ii: 1/13
4iii 1/13
4iv: 1/13
4v: 3/13
Step-by-step explanation:
3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26
4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.
4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13
4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13
Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation 
. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
A palindrome is something that reads the same forwards and backwards.
If the number is a palindrome and it's between 300 and 400, then the
last digit must also be a ' 3 '.
So all we have left to fill in is the digit in the middle.
There are 10 possibilities for that one ... the digits ' 0 ' through ' 9 '.
So there are <em>10</em> palindromic numbers between 300 and 400.
Answer:
Wouldn't it be 11? If the tree starts with 18 apples, and ends with 11, then that's it, it ends with 11 apples.
unless you just mis-typed, and meant 18-11. 7 would be the answer.
Step-by-step explanation:
