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balu736 [363]
3 years ago
13

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

Mathematics
1 answer:
tekilochka [14]3 years ago
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.
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The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape
Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

\textrm{Area of rectangle} = Length\times Width

On substituting the given values we get

510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15

∴ Width  x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

5 0
4 years ago
I need help I don't understand this.
Ludmilka [50]

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6 0
3 years ago
If the sale price is $57 and the discount is 5%, what is the original price?
alukav5142 [94]
Original price was 54.15
8 0
3 years ago
5. If "h" is positive how does the parabola move? If negative?
Paul [167]

Answer: positive values for h translate the parabola to the right, negative values for h translate the parabola to the left

Step-by-step explanation: Note that the value for h is subtracted from x, and then this difference is squared. See that positive values for h translate the parabola to the right, negative values for h translate the parabola to the left

7 0
3 years ago
If 2a+b=6 and a−6=b, what is the value of a?
earnstyle [38]

Step-by-step explanation:

Given

2a + b = 6......equation 1

a - 6 = b

a = b + 6........equation 2

Putting equation 2 in equation 1

2 ( b + 6 ) + b = 6

2b + 12 + b = 6

3b = 6 - 12

3b = - 6

b = - 6 / 3

Therefore b = - 2

Now

a = - 2 + 6 = 4

hope it will help :)

3 0
3 years ago
Read 2 more answers
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