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3 years ago

6

If the racetrack publishes that the odds in favor of a horse winning a race are 5 to 9, what is probability that the horse will

not win the race?

2 answers:

crimeas [40]3 years ago

5 0

I divided 5 by 9 and multiplied it by 100 to get the percentage for the probability the horse will win. I got 55.55%. I subtracted 55.55 from 100 and got 44.45% chance of not winning the race.

LUCKY_DIMON [66]3 years ago

3 0

Answer: $\dfrac{9}{14}$

Step-by-step explanation:

We know that , In probability the odds for an event is the ratio of the favorable outcomes to the unfavorable outcomes.

We are given that ,

The racetrack publishes that the odds in favor of a horse winning a race are 5 to 9 .

i.e. favorable outcomes for horse winning a race = 5

i.e. unfavorable outcomes for horse winning a race = 9

Now , Total outcomes = favorable outcomes+ unfavorable outcomes

= 5+9 = 14

Then, the probability that the horse will not win the race $=\dfrac{\text{Unfavorable outcomes}}{\text{Total outcomes}}$

$=\dfrac{9}{14}$

Hence, the probability that the horse will not win the race = $\dfrac{9}{14}$

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Step-by-step explanation:

6 0

3 years ago

Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

so

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

4 0

3 years ago

Does anybody think they can help with this question?

Sati [7]

The perimeter of a square is the sum of all its sides' lengths

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3 years ago

What is the similarity between numbers 85,17,19,4,and 2

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8 0

3 years ago

HELP!!<br>Find the third term of (x^2+3y)^3

lana66690 [7]

Answer:

$T_{3}=27{x}^{2}y^2$

Step-by-step explanation:

The given binomial expression is:

$( {x}^{2} + 3y)^{3}$

When we compare to:

${(a +b)}^{n}$

We have

$a = {x}^{2}$

$b = 3y \\ n = 3$

The nth term is given by;

$T_{r+1}=^nC_ra^{n-r}b^r$

To find the 3rd term, we put:

$r + 1 = 3 \\ r = 2$

We substitute into the formula to get:

$T_{3}=^3C_2( {x}^{2} )^{3-2}(3y)^2$

We simply:

$T_{3}=3( {x}^{2} )^{1} \times 9y^2$

$T_{3}=27{x}^{2}y^2$

3 0

3 years ago