Answer:
A
Step-by-step explanation:
the area of the small rectangle = 7 × 2 = 14 in²
area of larger rectangle = 74 - 14 = 60 in² → A
Answer:
(B) 0.0588
Step-by-step explanation:
The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:
Because the deck has 52 cards and 13 of them are diamonds.
Then, if the first card was diamonds, the probability that the second card is also diamond is:
Because now, we just have 51 cards and 12 of them are diamonds.
Therefore, the probability that both cards are diamonds is calculated as a multiplication between 
and 
. This is:
A) as the exponent decreases by one, the number is divided by 5
B) as the exponent decreases by one, the number is divided by 4
C) as the exponent decreases by one, the number is divided by 3
D) 4⁰ = 4 ÷ 4 = 1
4⁻¹ = 1 ÷ 4 = 
4⁻² = ÷ 4 = 
E) 3⁰ = 3 ÷ 3 = 1
3⁻¹ = 1 ÷ 3 = 
3⁻² = ÷ 3 = 
Answer:
Read the explanation down
Step-by-step explanation:
This is a linear equation, because the equation does not have any exponents. Graph it by putting the equation into either slope-intercept form y=mx+b or point-slope form y−y1=m(x−x1).
Isolate y by first adding 6x to each side:
9y=6x−18
Divide each side by 9:
y=23x−2
Now graph the line y=23x−2 by first plotting the y intercept at (0,−2), then connecting points with a slope of 23.
graph{2/3x-2 [-10, 10, -5, 5]}
The first book can be any one of the 5.
For each of those . . .
The 2nd book can be any one of the remaining 4.
For each of those ...
The 3rd book can be any one of the remaining 3.
For each of those . . .
The 4th book can be either of the remaining 2.
For each of those . . .
The 5th book is the last one remaining.
Total number of ways to arrange the 5 books is
(5 · 4 · 3 · 2 · 1) = 120 .
Cross off alphabetically ascending (1 way), and alphabetically
descending (1 way), and you're left with (120 - 2) = 118 ways.
