All categories

3 years ago

Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes

1 answer:

5 0

When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.

After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.

You might be interested in

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

2 years ago

Raj drove his car 5 times farther than Gary drives his car. Together they drive 624 miles. How many miles does Raj drive?

GuDViN [60]

624 divided by 5 is (and thats your answer)

8 0

3 years ago

16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4

IrinaK [193]

Answer:

Step-by-step explanation:

16x-3= -48

5x-3= -15

-7x-3= 21

=-42

20x4= 80

-8x4= -32

= 48

-7+3= -4

3 0

2 years ago

Please help 10 points !!

enyata [817]

The will intersect at a point with a positive x coordinate.

We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.

4 0

2 years ago

What would be equivalent to 9 to the second power * 9 to the 6th power

Elenna [48]

9^2= 9x9= 81. 9^6= 9x9 = 81, 81x9= 729, 729x9= 6561x9= 59049, 59049x9= 531441. So, 81 x 531441 = <span>43046721 :) Hope this helps! Can I get brainliest?</span>

7 0

3 years ago