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3 years ago

Please help ASAP! Correct answer only! I need to finish this assignment today.

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer:

0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

60/126 ≈ 0.4762

nCk = n!/(k!(n-k)!)

You might be interested in

If f(x)=4x+7 and g(x)=x^3, what is (g°f)(-1)

Annette [7]

Answer:

The answer is (g°f)(-1) = 27

Step-by-step explanation:

* (g°f)(1) ⇒ means make the domain of g is the range of f

- At first find the value of f(-1)

- Take the answer and substitute it as the value of x for g

- So the range of f is the domain of g

∵ f(x) = 4x + 7

∵ The domain of f = -1 ⇒ x is the domain

∴ f(-1) = 4(-1) + 7 = -4 + 7 = 3 ⇒ f(-1) is the range

∵ g(x) = x³

∵ x = f(-1) = 3 ⇒ the domain of g

∴ g(3) = 3³ = 27 ⇒ the range of g

* (g°f)(-1) = 27

7 0

4 years ago

Average for 5,16,20,14

Pepsi [2]

Answer:

13.75

Step-by-step explanation:

you need to add them all

5+16+20+14

divide the sum of those by 4

55/4=13.75

4 0

3 years ago

If you can help with as many as you can that would be greatly appreciated.

Solnce55 [7]

9. 0.26666
10. 2.375
11. 7/20
12. 206111/50000

6 0

4 years ago

A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number.

pogonyaev

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the smaller number

y ----> the larger number

we know that

A larger number is 2 more than 4 times a smaller number

Identify the key words

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 4 and then adds 2

$y=4x+2$ ----> equation A

The larger number is also 8 more than 2 times the smaller number

Identify the key words

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 2 and then adds 8

$y=2x+8$ ----> equation B

Solve the system of equations by substitution

equate equation A and equation B

$4x+2=2x+8$

$4x-2x=8-2\\2x=6\\x=3$

Find the value of y

substitute the value of x in equation A or equation B

$y=4(3)+2=14$

therefore

The smaller number is 3 and the larger number is 14

5 0

3 years ago

Read 2 more answers

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Digiron [165]

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls. 3 are selected. There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

3 0

3 years ago