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Ksivusya [100]
3 years ago
9

The two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics. A 5-column table has 5 row

s. The first column has entries United notes, China, Russia, Great Britain, Total. The second column is labeled Gold with entries 46, 38, 24, 29, 137. The third column is labeled Silver with entries 29, 27, 26, 17, 99. The fourth column is labeled Bronze with entries 29, 23, 32, 19, 103. The fifth column is labeled Total with entries 104, 88, 82, 65, 339. Which statement is true?
Mathematics
2 answers:
Reika [66]3 years ago
8 0

Answer: A. The probability that a randomly selected silver medal was awarded to Great Britain is 17/99.

Step-by-step explanation:

I got it right on edge

LUCKY_DIMON [66]3 years ago
5 0

Which statement is true?

  • The probability that a randomly selected silver medal was awarded to Great Britain is StartFraction 17 Over 99 EndFraction.
  • The probability that a randomly selected medal won by Russia was a bronze medal is StartFraction 32 Over 103 EndFraction.
  • The probability that a randomly selected gold medal was awarded to China is StartFraction 88 Over 137 EndFraction.
  • The probability that a randomly selected medal won by the United States was a silver medal is StartFraction 104 Over 339 EndFraction.

Answer:

(A)The probability that a randomly selected silver medal was awarded to Great Britain is 17/99.

Step-by-step explanation:

The table is given below:

\left|\begin{array}{l|c|c|c|c|c}  &Gold&Silver          & Bronze       &Total\\United States    &46      &    29      &          29      &         104\\China             &     38     &     27       &         23        &         88\\Russia         &        24  &        26      &          32                 &82\\Great Britain   &    29   &        17        &        19        &         65\\&&&&&\\Total                    &137     &     99     &          103      &        339\end{array}\right

                         

We calculate the probabilities given in the statements.

(A) The probability that a randomly selected silver medal was awarded to Great Britain

= 17/99

(B)The probability that a randomly selected medal won by Russia was a bronze medal

=32/82

(C)The probability that a randomly selected gold medal was awarded to China

=38/137

(D)The probability that a randomly selected medal won by the United States was a silver medal

=29/104

We can see that only the first statement is true.

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1.5 is not a repeating decimal, and 1 1/2

Step-by-step explanation:

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Y/5-6= -16 Find what y is.
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-50

Step-by-step explanation:

y/5-6=-16

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Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.
lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75  

Total fruit sold = 50

Total Earned  = $33.50

b + o + a = 50       Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a =  $33.50           The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50  

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a =  $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50       Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50   Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5     Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o   Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o   Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16      

b = 2o  

b = 2 (8)

b = 16   Which works! Now the last step of checking our work:

.5b + .75o + .75a =  $33.50

.5(16) + .75(8) + .75(26) =  $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50  Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0
3 years ago
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