Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)

Answers

Answer 1

Answer:

hmm i think its answer B hope i helped :)

Step-by-step explanation:


Related Questions

Solve by taking the square root of both sides.
3 (x +3)^2 – 81 = 0
a. X = -3 -3 sqrt 3 or -3 + 3 sqrt 3 c. 3 sqrt 3 or 3 + 3 sqrt 3
b. X = -3 -6 sqrt 3 or -3 + 6 sqrt 3 d. 3 sqrt 3 or -3 + 3 sqrt 3

Answers

Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )

x = - 3 ± 3[tex]\sqrt{3}[/tex]

x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a

Answer:

a

Step-by-step explanation:

Two buses are moving towards each other, one at a speed of 40 mph and the other at a speed of 50 mph. How much closer to each other will they be in two hours?

Answers

Answer:

180 miles

Step-by-step explanation:

The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.

please look at the image provided.

Answers

So the value of X is 3.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help me with this question

Find the product of (6-10i) and it’s conjugate.

Product = ?

FYI: the answer is not 6-10i or 6+10i

Answers

Answer:

136

Step-by-step explanation:

(6-10i)(6+10i)

36 +60i - 60i - 100i²

36 - 100i² (i² = -1)

36 + 100

136

Answer: 136

Step-by-step explanation:

First, we need to find the conjugate before we can find the product of the conjugate and 6-10i.

The conjugate is the binomial with an opposite sign.

6+10i

Now that we have our conjugate, we can find the product.

(6-10i)(6+10i)                          [distribute the factors, FOIL method]

36+60i-60i-100i²                   [combine like terms]

36-100i²                                  [i²=-1]

36-100(-1)                               [multiply and subtract]

36+100=136

Our product is 136.

Will mark brainliest for the answers. the 'try this' question.

Answers

Answer:

6%

Step-by-step explanation:

you do 2,700/45,000 to get  .06

multiply by a 100 to get the percent

Ramp Learning
Consider the expression 2(−2y+8).

Identify the equivalent expression below that demonstrates distributive property.

Answers

2(-2y+8)
-4y+16
Therefore the answer is:
-4y+16

56. If 6 men plough a field in 10 hours, how many hours will it take 4 men to do the same work? (Assuming they are
working at the same rate).
A 8 B. 15 C. 20 D. 25 E. 27​

Answers

Answer:

15 hours, or B

Step-by-step explanation:

6 men - 10

12 men - 5

4 men - 15

Please mark as brainliest

Answer:

15 hours

Step-by-step explanation:

10/6 ≈ 3.7

4 * 3.7 = 14.8

-round it up-

14.8 ≈ 15

Which of the following represents 1% of 300

•1
•3
•3/100
•30

Answers

Answer:

it's •3

Step-by-step explanation:

1/100 × 300/1 =3

100 into 300 is 3

then equal to 3/1

any number over one is it self

A boy sent a telegram which contains 36 words to his mother if the first 12 words cost $20 and each additional word cost 2$ per word how much did he pay ?​

Answers

Answer:

(d) 60 kobo

Step-by-step explanation:

36 divided by 12 = 3

3 x 20 = 60

Hope this helps!

Help me, please ...i dont understand

Answers

C. Use the formula for area of a triangle 1/2(Base * Height). Using that we see that we have 1/2(a*b) + 1/2(c*c) + 1/2(a*b). Cleaning this up we get 1/2(2ab+c^2)

Mrs. Sloane has $500 to buy a video game console and some video games for her family. Including tax, the video game console costs $280, and a video game costs $25.
*please help asap!!! kind of being timed here:(
-must haves:)…
right answer.
step-by-step.
makes sense.
^ I will mark someone the brainiest if they help me :)

Answers

Answer:

1 console and 8 games because

Step-by-step explanation:

one console cost 280 and each game costs 25 so do 500-280=220 so, u have 220 dollars left basically. 220/25=8.8 so 8 games u can buy and the tax will be $20 because 0.8 * 25 = 20 so theres ur tax and u have to answer my question

The maximum number of video games Mrs. Sloane can buy is,

⇒ 8

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Mrs. Sloane has $500 to buy a video game console and some video games for her family.

And, Including tax, the video game console costs $280, and a video game costs $25.

Now, Let the maximum number of video games = x

Hence, We can formulate;

⇒ 25x + 280 ≤ 500

⇒ 25x ≤ 500 - 280

⇒ 25x ≤ 220

⇒ x ≤ 8.8

Hence, The maximum number of video games Mrs. Sloane can buy is,

⇒ 8

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ6

Complete question is this,

Mrs. Sloane has $500 to buy a video game console and some video games for her family. Including tax, the video game console costs $280, and a video game costs $25. Drag and drop three numbers and one inequality symbol to show the inequality that can be used to determine the maximum number of video games, x, Mrs. Sloane can buy?

The length of a rectangle is twice its width. The perimeter of the rectangle is 156 feet. What is the length and the width of the rectangle?​

Answers

Answer:

Length = 26, Width = 52

Step-by-step explanation:

156/6 = 26

26*2=52

Answer: The length will be 52 and the width will be 26

Step-by-step explanation:

If the formular to calculate Perimeter of a rectangle is

P = 2* (L+W)

and the length L= 2W.

156 = 2* (2W+ W)

156 = 2* (3W)

156 = 6W

Solving for W

W= 26

Since in the question the Length L is 2* W(width)

L= 2* 26 = 52

Solve for x.
x/p³=1

NO ANSWERS CONTAINING CURSE WORDS OR YOU GET REPORTED!!!!!!!!!!!!!!

Answers

Answer:

Since x/p³ = 1 we can multiply the equation by p³ so x = p³.

Answer:

[tex]$\frac{x}{p^3}=1$[/tex]

Multiply both sides by [tex]p^3[/tex]

[tex]x=p^3[/tex]

and [tex]p^3 \neq 0[/tex] otherwise, it is undefined.

Matthew obtained a balloon mortgage but was late on a few payments during
the period of the loan. Which of the following is an unlikely option for him
once the balloon payment becomes due?
A. Sell the home
B. Refinance the balloon payment
C. Foreclosure
D. Pay balloon payment in full

Answers

Answer: A

Step-by-step explanation:

Help!!due today help as quickly plz​

Answers

Answer:

Step-by-step explanation:

The answer will be

2/16 + 5/8 = 3/4

 

What is the measure

Answers

It would be 17. The whole angle is 90 degrees so you would subtract 73 from 90 which would give you the answer of 17

Step-by-step explanation:

73+x=90 (right angled triangle)

x=90-73

x=17

If 560 were surveyed, how many chose red for the color of the new team jerseys?

Blue - 33%
Red - 25%
Orange - 17%
Purple - 15%
Other - 10%

Answers

Answer: 140

Explanation: 560 x .25 = 140. 140 x 4 = 560

What is the domain of the graphed function?
{x|1 {y|1 {x\ x is a real number}
O fyly is a real number}

Answers

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

If f(x) = x2 - 2x, find:
f(6) = [?]

Answers

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = x^2 - 2x

    Let x = 6

f(6) = 6^2 - 2(6)

     = 36 - 12

     = 24

[tex]\text{Plug in 6 to x:}\\\\f(6) = (6)^2-2(6)\\\\\text{Solve:}\\\\f(6) = (6)^2-2(6)\\\\f(6) = 36-2(6)\\\\f(6) = 36-12\\\\\boxed{f(6)=24}[/tex]

How many solutions does the following system of equations have?
2y= 5x+4
y= 3x+2
Α. Two
B. One
C. Zero
D. Infinitely many

Answers

Answer:

  B.  One

Step-by-step explanation:

The lines have different slopes, so they must intersect at exactly one point.

There is One solution to this system.

_____

If you solve the first equation for y, you get ...

  y = (5/2)x +2

This has a different slope (x-coefficient) than the second equation does, but it has the same y-intercept. That y-intercept is the point of intersection of the lines, hence the solution: (x, y) = (0, 2).

Encouraged by his investment, Joseph decides to open another CD account. This time, he deposits $1,000 and plans to leave it
untouched for 3 years. In exchange, the bank will pay him 0.3% interest every month. How much will be in the account when the 3
years have passed?

Answers

Answer:

Joseph will have 1,108$ in his bank account when he opens it again.

First, we need to know how much 0.3% of 1000$ is, which is 3$.

Next, since there are 12 months in a year we multiply 3$ by 12 which is 36.

Then, since 3 years have passed we multiply 36$ by 3 which is 108$. So in conclusion, he'll have 1,108$ when he checks his account again.

Answer:

$1,113.87

Step-by-step explanation:

The initial value is 1,000, the rate of increase is 1.003, and the number of times it will increase is 36. y=1000 ( 1.003 ) 36 =1,113.87y equals 1000 left parenthesis 1.003 right parenthesis superscript 36 baseline equals 1113.87.

The system of equations

(xy)/(x+y)=1, (xz)/(x+z)=2, (yz)/(y+z)=3 has exactly one solution. What is $z$ in this solution?

Answers

Answer:

z = -12

Step-by-step explanation:

Rewritting the equations, we have:

x + y = xy (eq1)

2x + 2z = xz (eq2)

3y + 3z = yz (eq3)

From the first equation:

x = y/(y-1) (eq4)

From the third equation:

y = 3z/(z - 3) (eq5)

Using the value of y from (eq5) in (eq4), we have:

x = [3z/(z - 3)] / [3z/(z - 3) - 1]

x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]

x = 3z / (2z + 3) (eq6)

Using the value of x from (eq6) in (eq2), we have:

6z / (2z + 3) + 2z = (3z / (2z + 3))*z

(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)

12z + 4z^2 = 3z^2

z^2 = -12z

z = -12

I WILL MAKE BRAINLIEST AND 30pts. FAST AND HELP ME

Answers

Answer:

3rd,5th,6th

Step-by-step explanation:

complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.

Hope this helps!

Answer:

Step-by-step explanation:

3rd option

x=10

angle ABD + angle DBC = 90

ie 5x + 40= 90

5x=90-40

5x=50

x=10

5th option

both are complementary angles

as  they are sum is 90 degree

hope this helps you and dont forget to make me as the brainliest......

If $3,000 is deposited at the end of every six months into an account that earns 10% semiannually, find the amount after 10 years.

Answers

Answer:

7959.83

Step-by-step explanation:

A = P ( 1+r/n)^ nt

Where A is the amount in the account

P is the principal

r is the rate

n is the number of compoundings per year

t is the years

A =3000 ( 1+.10/2)^ 2*10

A =3000 ( 1+.05)^ 20

   =7959.83

Answer:

$66,000

Step-by-step explanation:

if they earn 6,000 every year and  another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.

Amanda is running a mile in gym class. She runs at a pace of 5 minutes per mile. What's the dependent variable in the situation?

Answers

The dependent variable should be the pace Amanda is running since it determines how many minutes it takes her to run a mile. (so sorry if it's wrong!)

Calculate the sum of the first 50 terms in the sequence.
18, 21, 24, 27, ...

Answers

Answer:

hope this is correct

The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.

What is the sum of the sequence?

The sum of the sequence can be calculated by the formula

[tex]S_n = n/2(2a +(n-1)d)[/tex]

where a is the first term, d is the common difference

To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...

[tex]S_n = n/2(2a +(n-1)d)[/tex]

here, a = 18

d = 21 - 18 = 3

n = 50

[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]

Thus, the sum of the first 50 terms in the sequence is 4575.

Learn more about sequence ;

https://brainly.com/question/21961097

Overestimate the grocery bill with items that cost: $8.56, $5.34, $34.25, and $6.80.

A. $55.00

B. $57.00

Answers

Answer:

B. $57.00

Step-by-step explanation:

The totals add up to just under $55.00, so an overestimate would be $57.00

In circle o, diameter ADB and chord AC are drawn. Find the measure of arc BC. Please help

Answers

Answer:

Arc BC is 64°

Step-by-step explanation:

The parameters given are;

∠CAB = 32°

We note that the measure of arc BC = ∠CDB

∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)

∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)

∠ACB = ∠DCB + ∠DCA

∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°

∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)

∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)

∠CDB  = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°

∠CDB  = Arc BC = 64°

What is the volume of the following rectangular prism?
units

3 1/3 units

12/5 units

Answers

The answer would be 23.6 units

Rajesh is working out the area of a circle with radius 10.

he writes:

area = 3.142 x 20

explain why Rajesh's workings are wrong?

Answers

Answer:

Rajesh applied the wrong formula

Step-by-step explanation:

The problem is on mensuration of flat shapes, circles.

Rajesh applied the wrong formula for the calculation of the area of a circle

he used [tex]area= \pi d[/tex]

Rajesh is expected to solve for the area of a circle using the right formula, which is

[tex]area= \frac{ \pi d^{2}}{4} \\or\\area= \pi r^{2}[/tex]

substituting our data we have

[tex]area= 3.142*10^{2} \\area= 3.142*100\\area= 314.2[/tex]

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