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4 years ago

How many tenths are in 14.5?

Mathematics

1 answer:

Gala2k [10]4 years ago

5 0

5
14.5 = 5 tenths because there is a 5 in the tenths place

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Slope = -1, y-intercept = 3

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3 years ago

If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?

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Answer:

Step-by-step explanation:

You are given the function

$f(x)=\dfrac{x}{2}+8$

To find the value of the function f(x) at point x=a, you have to substitute a instead of x into the function expression.

In your case, you have to evaluate f(x) when x=10. Substitute 10 instead of x into the function expression:

$f(10)=\dfrac{10}{2}+8=5+8=13$

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3 years ago

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3 years ago

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The garden has an area of 84 square feet. The length must be 8 feet more than the width. Which of these values is the width of t

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4 years ago

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa

Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = $\frac{12!}{3! 3! 3! 3!}$

Now,

The Total number of ways in which Remaining cards are distributed = $\frac{40!}{10! 10! 10! 10!}$

So,

Total number of ways of getting 3 picture card and remaining card = $\frac{12!}{3! 3! 3! 3!}$ × $\frac{40!}{10! 10! 10! 10!}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = $\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }$

∴ The probability = $\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13!)^{4} }{ 52! }$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }$

= $\frac{12!}{(3!)^{4} }$ × $\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= $\frac{479,001,600}{(6)^{4} }$ × $\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0

3 years ago