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kherson [118]
2 years ago
6

In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W

hat is the probability that you will rank the top 2 horses incorrectly in the incorrect order? Write your answer as an exact fraction which is reduced as much as possible.
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= \frac{1}{2}

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the  top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted  incorrectly in incorrect order

in \sum_{k =2}^{5}(k - 1) = 10 ways  

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= \frac{6 \times 10}{120}

=\frac{1}{2}

 

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10. What is the measure of angle C?<br> A. 25°<br> B. 30°<br> C. 60°<br> D. 75°
Reil [10]

Answer:

D

Step-by-step explanation:

x + 5 + 3x + C = 180                All triangles have 180 degrees.

4x + 5 + C = 180

But C must be equal to 3x. Notice the markings on the lets of the triangle.

4x + 5 + 3x = 180

7x + 5 = 180                          Subtract 5 from both sides

7x = 180 - 5

7x = 175

x = 25

But angle C = 3x

C = 3*25

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8 0
3 years ago
Write the polynomial in standard form. Then name the polynomial on its degree and numbers of terms. 8-4x^2+10x^2+2x
mojhsa [17]
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The correct answer is C.)
6 0
3 years ago
A survey was carried out among 120 school children looked at which type of meat they preferred. 55%said they preferred lamb,20%
Readme [11.4K]

No. of children in lamb, chicken, duck, and turkey category is 66, 24, 18 and 12 respectively.

<h3>What is percentage ?</h3>

Percentage is the value per hundredth.

According to the given question a survey was carried out among 120 school children looked at which type of meat they preferred. 55% said they preferred lamb,20% said they preferred chicken, 15% preferred duck and 10% turkey and we have to calculate no. of children in each category.

55% said they preferred lamb, So the no. of students i this category is

= (55/100)×120

= 66 children.

20% said they preferred chicken, So the no. of children in this category is

= (20/100)×120

= 24 children.

15% said they preferred duck, So the no. of children in this category is

= (15/100)×120

= 18 children.

10% said they preferred turkey, So the no. of children in this category is

= (10/100)×120

= 12 children.

learn more about percentage here :

brainly.com/question/19670755

#SPJ4

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1 year ago
(20 points) find a fraction equal to 1/3 by multiplying 1/3 by 2/2 write the fraction, then add it to 3/6 what is the sum?
kenny6666 [7]

Answer:

it is 5/6

Step-by-step explanation:

5 0
3 years ago
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