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2 years ago

The functions r and s are defined as follows.

Mathematics

1 answer:

Arlecino [84]2 years ago

6 0

Answer:

r o s(3)=?

s(x)= x²-1

x=3

s(3)= 3²-1

s(3)= 9-1

s(3)=8

r(8)

r(x)= -2x-1

x=8

r(8)= -16-1

r(8)= -17

r(s(3))= -17

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.

AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

$D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1$

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

$T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

Probability:

$p = \frac{D}{T} = \frac{1}{715} = 0.0014$

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0

3 years ago

I just need to know the horizontal part I can do the other. Please ASAP

11Alexandr11 [23.1K]

Answer:

Enjoy and it would be good if you gave more points

Step-by-step explanation:

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3 years ago

Given that 2x + 1 =5, what is the value of (x+3)^3

Alla [95]

Answer: 125

Step-by-step explanation:

First, solve for x in the first equation.

1) Subtract 1 from both sides.

2x = 4

2) Divide by 2 on both sides.

x = 2

Next, substitute the value of x into the second expression.

(2 + 3)^3

= 5^3

= 125

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3 years ago

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nikdorinn [45]

Answer:

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Step-by-step explanation:

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3 years ago

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$35+0.50()=52 what does this equal

katen-ka-za [31]

Answer:

$(34)$

Step-by-step explanation:

We are looking for what number times .50 makes the equation true.

So, just do backwards equation:

$52 - 35$

$==> 17$

Thus, meaning that what multiplied by 0.50 is equal to 17?

[tex]0.50 * 34[tex]

[tex]==> 17[tex]

6 0

3 years ago

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