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Nostrana [21]
3 years ago
14

Match the following items.

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

Step-by-step explanation:

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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
Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
Romashka-Z-Leto [24]

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

4 0
3 years ago
Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge
Alexus [3.1K]
36 inches is the correct answer 

I Hope This Helps
3 0
3 years ago
Read 2 more answers
Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?])​
nalin [4]

Answer:

(2,12)

Step-by-step explanation:

mathpapa

8 0
3 years ago
If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much mone
hichkok12 [17]
$163,500

5000(0.09) x 30 = 13,500
5000 x 30 = 150,000
Altogether 163,500
6 0
2 years ago
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