Answer:
Step-by-step explanation:
Hello!
To find the total length when it is 18 feet 3 inches, we must add both lengths:
18ft 3in + 18ft 3in = 36ft 6in
For the width, add: 10ft 8in + 10ft 8in = 20ft 16in, which converts to 21ft 4in
Therefore, l + w = 57ft 10in
I hope this is helpful:)
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2
Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in
Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
Response:
the expected value of this raffle if you purchase 1 ticket = -0.65
Breakdown of the calculation:
Details:
5,000 tickets are sold at $1 each for a charitable raffle
Winners will be chosen at random with cash prizes as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.
Therefore, the value and its respective probability can be calculated as follows:
Value Probability
$500 - $1 = $499 1/5000
$300 - $1 = $299 3/5000
$50 - $1 = $49 5/5000
$5 - $1 = $4 20/5000
-$1 1 - 29/5000 = 4971/5000
The expected value of the raffle when buying 1 ticket is computed as follows:
So, the expected value of this raffle when one ticket is purchased = -0.65
1. "The limit on John's credit card is defined by the function f(x)=15,000+1.5x," indicating that if John's monthly income is $5,000, he can spend a maximum of f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22,500 (dollars). As another example, if John's monthly income is $8,000, then he can spend up to f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars). 2. If we consider the maximum amount John can spend as y, it can be represented as y=15,000+1.5x. To express x, the monthly income, in terms of y, we rearrange this equation: y=15,000+1.5x results in 1.5x = y-15,000. Therefore, in functional notation, x is a function, referred to as g, based upon y, the maximum sum. Generally, we denote the variable of a function by x, so we redefine g as: This tells us that if the maximum amount that John can spend is $50,000, then his monthly income would be $23,333. 3. If John's limit is $60,000, his monthly income equals $30,000. Note: g is deemed as the inverse function of f because it reverses the actions of f.
