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Fudgin [204]
3 years ago
6

Use the Counting Principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at rand

om from 0 to 9.
A. 1 in 100,000,000

B. 1 in 43,046,721

C. 1 in 1,000,000,000

D. 1 in 10,000,000
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
7 0

Answer: A. 1 in 100,000,000

Step-by-step explanation:

The given digits are  0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total number of digits = 10

Now by using the counting principle, the probability of choosing one number is given  by :-

\text{P(one number)}=\dfrac{1}{10}

Therefore, the probability of choosing 8 numbers (with replacement ) will be :

\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}=(\dfrac{1}{10})^8=\dfrac{1}{100,000,000}

tino4ka555 [31]3 years ago
3 0
I really don’t know but I thank it is 100,000,000
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Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

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3 years ago
What is ​ BC ​ ?<br><br><br> Enter your answer in the box.<br><br> BC=<br> units
kumpel [21]

<u>Answer:</u>

  • The length of BC is 25 units.

<u>Step-by-step explanation:</u>

<u>We know that the triangle is an isosceles triangle. Hence, we know that AB = AC. Let's first solve for x.</u>

  • => 4x + 1 = 2x + 23
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<u>Now, let's substitute the value into the expression.</u>

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  • => 3(11) - 8
  • => 33 - 8
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<u>Hence,</u><u> the length of BC is 25 units.</u>

Hoped this helped.

BrainiacUser1357

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Leokris [45]

Answer:

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Step-by-step explanation:

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777dan777 [17]

Answer:

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Step-by-step explanation:

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