What is the volume of the regular pyramid below?

Five thousand tickets are sold at $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded a

const2013 [10]

Answer:

Expected value of raffle = $-0.67

Step-by-step explanation:

Number of tickets sold = 5,000

Selling price of each ticket = $1

1 prize = $500

3 prizes = $300

5 prize = $30

20 prizes = $5

The value of each ticket is given by

value = $500*(1/5000) + $300*(3/5000) + $30*(5/5000 + $5*(20/5000)

value = $0.1 + $0.18 + $0.03 + $0.02

value = $0.33

The expected value is

Expected value = value - selling price

Expected value = $0.33 - $1

Expected value = -$0.67

Therefore, the expected value of this raffle is -$0.67 if you buy 1 ticket.

The negative sign means that you are most likely to lose $0.67 if you buy a raffle ticket for $1.

6 0

4 years ago

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is

algol13

Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.

7 0

3 years ago

Read 2 more answers

An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circum

Lady_Fox [76]

So, the bicycle looks like the one in the picture below.

now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".

we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.

after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.

The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.

The amount covered by the large one in 500 cycles, is 500(2πr + 9).

And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).

$\bf \stackrel{small~wheel}{1400(2\pi r)}~~=~~\stackrel{large~wheel}{500(2\pi r+9)}\implies 14(2\pi r)=5(2\pi r+9)
\\\\\\
28\pi r=10\pi r+45\implies 18\pi r=45\implies r=\cfrac{45}{18\pi }
\\\\\\
\boxed{r=\cfrac{5}{2\pi }}$

so, how much ground did they cover anyway?

well, we could use either, since we know what the radius is, hmmmm let's use say the small wheel's circumference,

$\bf 1400(2\pi r)\implies 1400\left(\underline{2\pi }\cdot \cfrac{5}{\underline{2\pi }} \right)\implies 1400(5)\implies \stackrel{feet}{7000}$

8 0

3 years ago

Read 2 more answers

Please help now 100 million coins

Montano1993 [528]

There are 12 total sections, of which 3 are blue. So the probability of spinning a blue is 3/12 which reduces to 1/4.

Each spin is independent.....because 1 spin does not effect the other spin. If u should spin a blue on the first spin...this does not effect what ur second spin will land on

7 0

3 years ago

How to determine if a function is even or odd calculus?

aalyn [17]

A function $f(x)$ is even if $f(-x)=f(x)$ , and is odd if $f(-x)=-f(x)$ .

Example:

$f(x)=x^2$ is even, since $f(-x)=(-x)^2=x^2=f(x)$ .

$g(x)=x^3-x$ is odd, since $g(-x)=(-x)^3-(-x)=-x^3+x=-(x^3-x)=-g(x)$ .

6 0

3 years ago