A super easy Math problem for 10 points...................

Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

Sever21 [200]

Answer:

A) P(stars) = 1/3

B) P(odd)= 4/7

C)P(solid grays or stars or striped)= 1

D)P(1,4 or 7)= 3/7

E)P(not striped)= 2/3

Step-by-step explanation:

Given:

sample set contains 1-7 solid gray, 1-7 stars and 1-7 striped cards

Let solid gray be x

stars be y

striped be z

then sample set be

1x,2x,3x,4x,5x,6x,7x,

1y,2y,3y,4y,5y,6y,7y,

1z,2z,3z,4z,5z,6z,7z

total number of cards in sample set =21

Now

a)Finding probability of stars

Number of star cards in above sample set = 7

P(stars)= 7/21

P(y)=1/3

b)Finding probability of odd

Number of odd cards in above sample set = 12

P(odd)= 12/21

=4/7

c)Finding probability of solid grays or stars or striped

P(solid grays or stars or striped) = P(x or y or z)

=P(x U y U z)

As the events are mutually exclusive

P(x U y U z)= P(x)+P(y)+P(z)

now P(x)= 1/3

P(y)=1/3

P(z)=1/3

P(x U y U z) = 1/3 + 1/3 + 1/3

= 3/3

=1

d)Finding probability of 1,4 or 7

Number of 1,4 or 7 cards in above sample set = 9

P(1,4 or 7) = P(1 U 4 U 7)

As the events are mutually exclusive

P(1,4 or 7) = P(1) + P(4) + P(7)

P(1)= 3/21

=1/7

P(4)= 3/21

=1/7

P(7)= 3/21

=1/7

P(1,4 or 7)= 1/7 + 1/7 + 1/7

=3/7

e)Finding probability of not striped

Number of not striped cards in above sample set = 14

P(not striped)= 14/21

= 2/3 !

6 0

3 years ago

Two companies rent boats by the hour. The total cost, in dollars, c, depends on the number of hours, h.

Maurinko [17]

Answer:

A(35)

B(35_20=15

Step-by-step explanation:

same as all above

3 0

3 years ago

The area of a square is 144cm2.what is the measurement of each side

Dmitry [639]

The area of a square is 144 cm^2. The measurement of each side is 12 cm

<u>Solution:</u>

Given, The area of a square is 144 $cm^2$

We have to find that what is the measurement of each side.

Now, we know that, area of a square = product of side value with another side value.

Let the side value of given square be "s"

Then, <em>Area of square is given as:</em>

$\begin{array}{l}{\text {area of square}=s \times s} \\\\ {\text {Area of square}=s^{2}} \\\\ {144=s^{2}} \\\\ {s=\sqrt{144}} \\\\ {s=\sqrt{12^{2}}}\end{array}$

On cancelling square root and square on right side,we get

s = 12

Hence, the side value of the square is 12 cm.

8 0

4 years ago

I WILL MARK BRAINLIEST

vekshin1

Hello!

You can use the Pythagorean Theorem

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse which is the side across the right angle
a and b are the other sides

Put in the values you know

$a^{2} + 5^{2} = 12^{2}$

Square the numbers

$a^{2} + 25 = 144$

Subtract 25 from both sides

$a^{2} = 119$

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

3 0

3 years ago

Read 2 more answers

WILL GIVE BRAINIEST Which of the following is NOT a perfect square? Question 3 options: 36 25 49 81 35 144 100

jok3333 [9.3K]

Answer:

35

Step-by-step explanation:

The way I know is because I memorized every square up to 33.

BUT that's probably not helpful to you.

Remember that every perfect square has an odd number of factors. I'm not going to list them all out, but the factors of 35 are 1, 5, 7, and 35, giving it an even number of factors. All the rest have an odd number of factors because of the property of a perfect square: a number times itself gives a perfect square, but that number only counts as 1 factor.

4 0

3 years ago