There were 10 horses are involved in this year’s preakness stakes. suppose you are betting to correctly pick top three finishers. from this information alone, what would be your odds of winning?

Answers

Answer 1

There's a 1 in 10 chance that you get the first place correct. Next, since there are 9 horses left to choose from since the same person or something can't be first and second , there's a 1 in 9 chance for second place and 1/8 for third using that logic. Multiplying them all together, we get a 1/720 chance of guessing all three right

Related Questions

jada gets 2 new packs of earses.each pack has 6 earsers in it. draw an array to show how many erasers Jada has together

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jada has 12 erasers all together

The outside diameter of a pipe is 5 and 7/32 inches. The walls of the pipe are 5/32 inches thick. What is the inside diameter?

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check the picture below

thus

[tex]\bf 5\frac{7}{32}-\cfrac{5}{32}\implies \cfrac{5\cdot 32+7}{32}-\cfrac{5}{32}\implies \cfrac{167}{32}-\cfrac{5}{32}\implies \cfrac{162}{32} \\\\\\ \cfrac{81}{16}\implies 5\frac{1}{16}''[/tex]

If you drive for 2 hours, at 60 miles per hour, you will have traveled 120 miles. this is a very common type of calculation, involving three quantities: distance, rate and time. if you know just two of these three quantities, you can always calculate the third. thus, if you want to know how much time it is going to take you to get somewhere, and you know that the distance is 120 miles and you will drive at a rate of 60 miles per hour, you can divide the 120 miles by the 60 miles per hour and obtain a time of 2 hours.

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do u still need the answer

The distance that light travels in 1 second is 186,000 miles. How far will light travel in 1 year? (There are approximately 31,500,00 seconds in 1 year. ) change the numbers to scientific notation and then perform the appropriate operations.

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light travels 186,000 miles per second.....1.86 x 10^5
31,500,000 seconds per yr....3.15 x 10^7

how far will light travel in 1 yr...
(1.86 x 10^5)(3.15 x 10^7) =
(1.86 * 3.15)(10^5 * 10^7) =
5.859 x 10^12 miles in 1 yr <===
(5,859,000,000,000 miles)....whoa....a lot of traveling...thats like 5 trillion + miles

Matlab the equation of a circle with its center at x=3 and y=2 is given by , where r is the radius of the circle. first derive the equation(symbolically) of the tangent line to the circle at the point on the upper part of the circle ( and ). then for specific values of r, , , make a plot of the circle and the tangent line. (r=9, )

Answers

the equation of a circle with center at (h,k) and radius r is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
we are given
center is at (3,2)
[tex](x-3)^2+(y-2)^2=r^2[/tex]
solving for y
[tex](y-2)^2=-1(x-3)^2+r^2[/tex]
[tex]y-2=\sqrt{-1(x-3)^2+r^2}[/tex]
[tex]y=2+\sqrt{-1(x-3)^2+r^2}[/tex]
take the derivitive to find the slope at any point
[tex]\frac{dy}{dx}=((-1)(x-3)^2+r^2))(-x+3)[/tex]

we can use point slope form
for apoint (h,k) and slope m, the equation is
y-k=m(x-h)
not sure if you want in terms of what
I'll just say for a point (h,k)
so we get
[tex]y-k=((-1)(x-3)^2+r^2))(-x+3)(x-h)[/tex]
where [tex]k=2+\sqrt{-1(h-3)^2+r^2}[/tex]
that's the equation of the tangent line at (h,k) for arbitrary values of r

do the plots and other stuff yourself

Final answer:

To derive the equation of the tangent line to the circle, differentiate the circle equation implicitly and substitute the coordinates of a point on the circle to find the specific equation. For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x. Use software like Matlab or a graphing calculator to plot the circle and the tangent line.

Explanation:

To derive the equation of the tangent line to the circle at the upper part, we need to find the slope of the tangent line and the coordinates of a point on the circle. The slope of a tangent line to a circle at a given point is the negative reciprocal of the slope of the radius from the center to that point. In this case, the center of the circle is (3, 2) and the radius is 9, so the equation of the circle is (x-3)^2 + (y-2)^2 = 9^2. By differentiating this equation implicitly, we can find the slope of the tangent line.

The equation of the circle is (x-3)^2 + (y-2)^2 = 81.

Differentiating implicitly with respect to x:
2(x-3) + 2(y-2) dy/dx = 0
Simplifying:
(x-3) + (y-2) dy/dx = 0
(y-2) dy/dx = 3-x
dy/dx = (3-x) / (y-2)

To find the slope of the tangent line at the upper part of the circle, we substitute y = 2 + sqrt(81 - (x-3)^2) into the derived equation of dy/dx. After simplifying, we can substitute the coordinates of a point on the circle to find the specific equation of the tangent line.

For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x.

To make a plot of the circle and the tangent line, we graph both the circle equation and the tangent line equation using a software like Matlab or a graphing calculator.

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Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many ounces of yellow paint does Sheila need for the new mixture?

Please explain!!

Answers

Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)

3 ounces of blue paint added with 2 ounces of yellow you would get 5 onces

Then you divide 20 by 5 you get 4
Then multiply 4 by 2 ounces you get 8

Sheila will need 8 ounces of of yellow paint for the new mixture.

The 1998 team payroll of the Baltimore orioles was $68,988,134

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what is the rest of the question

The sum of three numbers is 99. The first number is 9 more than the third. The second number is 4 times the third. What are the numbers?

Answers

first number=x+9
second number=4x
third number=x
4x+x+x+9=99
6x=90
x=15
first number=24
second number=60
third number=15

Final answer:

The first number is 24, the second number is 60, and the third number is 15.

Explanation:

Let's assign variables to represent the three numbers. Let x represent the third number. Since the first number is 9 more than the third, we can write the equation:

First number = x + 9

Since the second number is 4 times the third, we can write the equation:

Second number = 4x

Now, we can add the three numbers together, according to the given information:

(x + 9) + 4x + x = 99

Simplifying this equation, we get:

6x + 9 = 99

Subtracting 9 from both sides, we have:

6x = 90

Dividing both sides by 6, we find:

x = 15

So the third number is 15. Plugging this value back into the two other equations, we find that the first number is 24 and the second number is 60. Therefore, the three numbers are 24, 60, and 15.

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Which of the following expressions represents the total earnings of a commissioned employee earning 9.5% commission with sales of $8,540?

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$145. Hope my answer helped you out bro.

12 tenths plus 9 tenths =21 tenths = ____ ones _____ tenths

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2100 ones if I am thinking about this right. hope it helps

Using only definition 2.2.3, prove that if (x

Answers

you can use Google or a calculated but to check it but it's : 6

3a/(a+1)^2
Give the equivalent numerator if the denominator is (a + 1)³.

Answers

Given 3a/(a+1)^2
To make the denominator a cube, you would have to multiply by 1 or (a+1)/(a+1)
yielding 3a(a+1)/(a+1)^3
(3a^2 + 3a) is the equivalent numerator

Answer:

3a(a+1)

Step-by-step explanation: for those who were confused on the other asnwer he gave a different veriation of this answer. however it is correct.

Brainliest plsss

A book had a length of 5 inches and a width of 8 inches. What is the perimeter of the book

Answers

26 inches hope this helps

the perimeter is 26in

50 POINTS!!! DO NOT ANSWER JUST FOR THE POINTS!!! IF YOU DO, ALL OF YOUR EARNED POINTS WILL BE TAKEN~~~~~~~~~~~~~~~

Refer to the graph.

The function is increasing on the interval(s):

The function is decreasing on the interval(s):

The function is constant on the interval(s):

Please explain the steps you used.

Answers

A) [-7,-4] U [4,7]; B) [-4,-1]; C) [1,4]

Prove that if an converges to a nonzero constant then 1/an is bounded

Answers

Assume [tex]\dfrac1{a_n}[/tex] is not bounded, i.e. there are no [tex]u,\ell[/tex] for which [tex]\ell\le\dfrac1{a_n}\le u[/tex] for all [tex]n[/tex].

Now, [tex]a_n\to k\neq0[/tex] is to say that for any [tex]\varepsilon>0[/tex], we can find a large enough [tex]N[/tex] such that [tex]|a_n-k|<\varepsilon[/tex] whenever [tex]n\ge N[/tex]. Simultaneously, this means that [tex]a_n[/tex] is bounded.

Let's suppose without loss of generality that [tex]a_n\neq0[/tex] for any [tex]n[/tex]. (Note that if [tex]a_n=0[/tex] for some finite number of values of [tex]n[/tex], we can simply remove them from consideration.)

So we have

[tex]|a_n-k|=\left|a_n\left(1-\dfrac k{a_n}\right)\right|=|a_n|\left|1-\dfrac k{a_n}\right|<\varepsilon[/tex]

Because [tex]a_n[/tex] is bounded, we know there is some [tex]\alpha[/tex] such that [tex]|a_n|\le\alpha[/tex] for all [tex]n[/tex]. Now,

[tex]|a_n|\left|1-\dfrac k{a_n}\right|\le\alpha\left|1-\dfrac k{a_n}\right|<\varepsilon[/tex]
[tex]\left|1-\dfrac k{a_n}\right|<\dfrac\varepsilon\alpha[/tex]
[tex]-\dfrac\varepsilon\alpha<1-\dfrac k{a_n}<\dfrac\varepsilon\alpha[/tex]
[tex]-1-\dfrac\varepsilon\alpha<-\dfrac k{a_n}<-1+\dfrac\varepsilon\alpha[/tex]
[tex]1-\dfrac\varepsilon\alpha<\dfrac k{a_n}<1+\dfrac\varepsilon\alpha[/tex]
[tex]\dfrac1k-\dfrac\varepsilon{\alpha k}<\dfrac 1{a_n}<\dfrac1k+\dfrac\varepsilon{\alpha k}[/tex]

But we initially assumed that [tex]\dfrac1{a_n}[/tex] is unbounded, so the above is impossible. Thus [tex]\dfrac1{a_n}[/tex] must be bounded.

The length of a rectangle is 11 m greater than the width. The area is 42 m^2. Find the length and width.

Answers

the answer is that the width is 3 m and the length will be 14 m because 3•14 = 42m² and 3+11=14

Hello friends my name is blank I'm sorry but I need to ask a question so buy

Solve ( x + 4 ) / 2 = ( x - 3 ) / 3

Answers

simplify x - 3/3 to -1 + x/3

regroup terms

multiply both sides by 6 (The LCM of 2,3)

expand

subtract 2x from both sides

simplify 3x + 12 - 2x to x + 12

subtract 12 from both sides

simplify -6 - 12 to -18

Answer: x = -18.

michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658. after losing 1/3 of its origional value, it then gained 1/2 of its new value back, what is the current value of his roth IRA?

Answers

let's say

a = 215,658

ok... so.. he first lost 1/3 of that

[tex]\bf \textit{\underline{lost} }\frac{1}{3}a\qquad \qquad a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3} \\\\\\ \textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}} \\\\\\ \cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6} \\\\\\ \cfrac{6a}{6}\implies \boxed{a}\implies 215,658[/tex]

so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.

His current value is 215658 dollars.

How to calculate a fraction of amount of a total amount ?

To calculate a fraction of amount of a total amount just multiply the given fraction to the total amount.

According to the given question

Michael wittry has been investing in his roth IRA retirement account for 20 years.

Two years ago his account was worth $215,658.

1/3rd of it's original value is

= (1/3) × 215658

= 71886 dollars.

∴ Remaining value is

=(215658 - 71886)

=143772 dollars.

After some time it gained half of it's new value back

∴ Half of this new value is

(1/2) × 143772

= 71886 dollars.

So , the current value is

(143772 + 71886)

=215658 dollars.

Actually his currect value of roth IRA is same as it was two years ago.

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Using place value how to increase 2384598 by six million

Answers

6 million = 6,000,000

2,384,598 + 6,000,000 = 8,384,598

your answer is 8,384,598

hope this helps

A segment has endpoints ar (-2,3) and (7,9) how long is the segment

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[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ 7}}\quad ,&{{ 9}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[7-(2)]^2+[9-3]^2}\implies d=\sqrt{(7+2)^2+(9-3)^2} \\\\\\ d=\sqrt{9^2+6^2}\implies d=\sqrt{81+36}\implies d=\sqrt{117} \\\\\\ \boxed{117=3^2\cdot 13}\qquad \qquad d=\sqrt{3^2\cdot 13}\implies d=3\sqrt{13}[/tex]

solve (6-5x)/10-(2x+1)/5+x/3=2x/15

Answers

multiply2 * x/15 to 2x/15

multiply both sides by 30 which is the LCM of 10, 5, 3, and 15

expand it

simplify 18 - 15x - 12x - 6 + 10x to 12 - 17x

add 17x to both sides

add 4x + 17x to = 21x

divide both sides by 21

simplify 12/21 to 4/7

now simplify

Answer: x = 4/7.

Which of the following is the inverse of the statement "If I like math, then I like science"? A. If I do not like science, then I do not like math. B. If I do not like math, then I like science. C. If I do not like math, then I do not like science. D. If I like science, then I like math

Answers

Original Conditional: If P, then Q

Inverse: If not P, then not Q

Using that template, the inverse would be "If I do not like math, then I do not like science" (simply insert those two "not" words keeping the order the same)

so the answer is choice C

Answer:

Option C If I do not like math, then I do not like science

Step-by-step explanation:

we know that

To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement

In this problem we have

"If I like math, then I like science"

therefore

the inverse is

If I do not like math, then I do not like science

Harry estimates that the dinner will have 48 g of fat. if the recommended daily allowances is 70 g What percentage of her total daily allowance of fat will the dinner be

Answers

divide 48 by 70

48 / 70 = 0.6857 = 68.6%

round 2,412 to the nearest thousands

Answers

2,000 since you're rounding to the nearest thousands.

The answer is 2,000 because 2,412 is closer to 2,000 than 3,000. Hope I helped!

386-123= estimate then find the difference

Answers

390-125= 265
Round 386 to 390 and 123 to 125

you estimate 386 to 400 and 123 to 100 so you will get
400-100=300

Is 0.5 greater than or less than 6/10

Answers

6/10 is equal to 0.6 and 0.6 is greater than 0.5

0.5 has a 5 in the tenths place, which means it's the same as [tex]\frac{5}{10}[/tex]. Which is bigger, [tex]\frac{5}{10}[/tex] or [tex]\frac{6}{10}[/tex]?

The arctic lion's Mane Jellyfish is one of the largest known animals. Its tentacles can be as long as 120 feet. Find how this length compares to your height. Round your height to the nearest foot. 120 feet is time as long as feet.

Answers

To solve this problem, we must first know your height. So assuming that your height is 5 feet. Therefore we can divide:

120 feet / 5 feet = 24

So that the answers in the blanks are:

120 feet is 24 times as long as 5 feet

If a1=2, b2=3, and c3=10, the resulting value of =a1-b2+c3/10 is ____. 4 1 0 11/10

Answers

A1=2 b2=3 c3=10
2-3+10÷10
2-3+1
-1+1=0

An important part of customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first 5 troubles reported on a given day, what is the probability that fewer than 2 troubles will be repaired on the same day?

Answers

The answer to your question is
D. .2373

Hope this helps

Answer:

The probability that fewer than 2 troubles will be repaired on the same day is:

0.015576

Step-by-step explanation:

We have to use the Binomial function is n=order to calculate the probability of r successes out of the n-events.

We know that the probability of r success out of the n-events is given by:

[tex]P(X=r\ successes)=n_C_r\cdot p^r\cdot (1-p)^{n-r}[/tex]

where p is the probability of an success.

Here we have:

n=5 and r=0,1.

since we are asked to find the probability that fewer than 2 troubles will be repaired on the same day.

i.e we have to find:

[tex]P(X<2)=P(X=0)+P(X=1)[/tex]

Also p=0.75 ( since, likelihood is 0.75 that troubles in a residential service can be repaired on the same day )

Hence,

[tex]P(X=0)=5_C_0\cdot (0.75)^{0}\cdot (1-0.75)^{5-0}\\\\P(X=0)=1\cdot 1\cdot (0.25)^5\\\\P(X=0)=0.000976[/tex]

and

[tex]P(X=1)=5_C_1\cdot (0.75)^{1}\cdot (0.25)^{5-1}\\\\P(X=1)=5\cdot (0.75)\cdot (0.25)^4\\\\P(X=1)=0.0146[/tex]

Hence,

[tex]P(X<2)=0.000976+0.0146\\\\P(X<2)=0.015576[/tex]

Hence, the probability that fewer than 2 troubles will be repaired on the same day is:

0.015576

mathematical modeling results in formulas that give exact values of real world phenomena over time

Answers

Mathematical modeling is when you create a mathematical expression to model the behavior you're studying. This is usually formulated after doing research studies. An example would be the Langmuir isotherm model. This model describes an adsorption behavior. It tells you the maximum adsorption capacity of your adsorbent at a specific process condition. Although it may not give you the exact value of the real behavior, it can be an approximation.

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