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Alona [7]
3 years ago
5

In a race in which 10 automobiles are answered and there are no ties, in how many ways can the first three finishers come in ?

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0
Okay... so we have three places the automobiles can come in.

_ _ _

Now, how many automobiles have a chance of being in first place?

10.

Now, how many automobiles have a chance of being in second place now that the first place slot is taken?

9.

Now, how many automobiles have a chance of being in third place if the first and second place slots are taken by one automobile?

8.

Now multiply the numbers together to find the number of situations.

10 x 9 x 8 = 720.
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3. I am collecting baseball cards. My goal before I turn 18 is to have 500 cards. When I tumed 10,
vladimir2022 [97]

Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.

Number of cards given by grandfather = 125 cards

Number of cards that will be given by father = 89 cards

Therefore, based on the information given, the equation to describe the situation will be:

c + 125 + 89 = 500

Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:

c + 125 + 89 = 500

c + 214 = 500

c = 500 - 214

c = 286

Therefore, the person needs to collect 286 cards.

Read related link on:

brainly.com/question/24910157

7 0
2 years ago
To the nearest ten thousand, the population o Vermont was estimated to be about 620,000. What might have been the exact populati
SpyIntel [72]
It could be 623,246 I think hope that I helped you
3 0
3 years ago
You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve
Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = \frac{1}{2}

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the  probability of even number roll, p(U) = \frac{1}{2}

In order to  calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = \frac{1}{4}

Y|U ≅ geometric = \frac{1}{2}

also; x ≅ geometric (p)

∴ E (x) = \frac{1}{p}

⇒ \frac{Y}{T} = 4 ; also \frac{Y}{U} = 2

E (Y) = 4 × \frac{1}{2} + 2 ×

        = 2+1

E (Y) = 3

7 0
3 years ago
Find the value of x
GalinKa [24]

Answer:

29 degrees

Step-by-step explanation:

9: 2x - 2 + x + 5 = 90

3x + 3 = 90

3x = 90 - 3

3x = 87

x = 29 degrees

4 0
2 years ago
A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation
egoroff_w [7]

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

y = 0.033*x + 1.269

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

a = \frac{1.7 - 1.5}{13 - 7} = 0.033

So the linear equation is something like:

y = 0.033*x + b

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269

Then the linear equation is:

y = 0.033*x + 1.269

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

y = 0.033*48 + 1.269 = 2.853

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

5 0
2 years ago
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