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3 years ago

14

Six hundred people are competing in a triathlon. There is a $1000 prize for first and a $500 prize for second. How many differen

t first-second place finishes are possible?

1 answer:

Free_Kalibri [48]3 years ago

6 0

Answer:

10626

Step-by-step explanation:

The total number of people purchase raffle tickets=23

The total number of prizes = 3

Since , order matters here , so we use Permutations.

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Please help me with this

horrorfan [7]

Answer:

$\dfrac{4000\pi}{3}$ ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is $A = 4\pi r^2$

The formula for a sphere's volume is $V=\frac{4}{3}\pi r^3$

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

$V=\frac{A}{3}r$

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - $400\pi$ ft² - so we can use the area formula to find that radius:

$A=4\pi r^2=400\pi\\r^2=100\\r=10$

And now that we have our radius, we can put it into our volume formula to find

$V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}$ ft³

4 0

2 years ago

How do I draw a model for 328 divided by 2

Arada [10]

The answer will be 656 but i cant really explain how to draw a model with the question sorry

7 0

3 years ago

Read 2 more answers

1/5x-2/3y=30 when y=15

dolphi86 [110]

Answer:

Step-by-step explanation:

<u>Step 1: Set y to 15 and solve</u>

<u /> $\frac{1}{5}x - \frac{2}{3}*15=30$

$\frac{1}{5}x-10=30$

<em>Add 10 to both sides</em>

<em /> $\frac{1}{5}x-10+10=30+10$

$\frac{1}{5}x=40$

<em>Multiply both sides by 5</em>

<em /> $\frac{1}{5}x*\frac{5}{1}=40*\frac{5}{1}$

$x=200$

Answer: $x=200$

5 0

2 years ago

What is the interquartile range of this data? 6 8 9

vladimir1956 [14]

Answer:

24

Step-by-step explanation:

Just subtract the first quartile form the third quartile.

third quartile - first quartile

32 - 8 = 24 IQR

FIRST quartile: 8

SECOND quartile: 20

THIRD quartile: 32

So the IQR is 24

Hope this helps :)

3 0

2 years ago

Read 2 more answers

Write the verbal sentence as an equation:

asambeis [7]

20 - (4xn) = 4 is the equation

8 0

2 years ago