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Mumz [18]
3 years ago
11

Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random

from 0 to 9
Mathematics
2 answers:
frozen [14]3 years ago
7 0

Answer:   120

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

Since the order of the numbers doesn't matter we can use the formula:

\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120

otez555 [7]3 years ago
4 0

Answer:

1/10,000,000  (gradpoint)

Step-by-step explanation:

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How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Gala2k [10]

Answer:

A. No Solution

Step-by-step explanation:

To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this -22x-10=-22x+83 now we would add 22x to both sides and our equation will be -10=83 and that is not correct so the answer would be A. No solution

5 0
4 years ago
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​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask th
IgorC [24]

Answer:

Explanation has been given below

Step-by-step explanation:

hope fully it may concern with 70% adults then

p = 0.77

randomly select = 6

then mean will be

mean = n * p = 6*0.77=4.62

To get variance np (1-p)

then putting values we get

np (1-p) = 4.62 *0.23 = 1.0626

taking square root we get

\sqrt{1.0626}

sd = 1.03

Most samples of 6 adults would differ from the mean by no more than 1 sd

mean is differ by no more than 2 sds .

In a real-life situation, it is expected that 4 or 5 of 6 to think it is a problem.

I would not expect 0, 1, or 2.

3 0
3 years ago
Please help me with this question ASP
Wewaii [24]

Answer:

5/6 pounds

Step-by-step explanation:

2 1/2=5/2. 1/3 of 5/2=1/3•5/2. 1/3•5/2=5/6.

3 0
3 years ago
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Why does the sum of -4 and 3 complain more than the sum of -3 and 5
dem82 [27]
The sum of -4 and 3 complain more because its negative

5 0
4 years ago
A motel finds it can rent 180 rooms when the room rate is $ 60 per day. For each $ 2 increase in the rate, two fewer rooms are r
Xelga [282]

Answer:

$7,200

Step-by-step explanation:

r=p × n

where

r=revenue

p = price per item

n = number of items sold

A change in price changes quantity ( number sold)

Variable x changes with price, then

Let

p+x=a dollar price increase

p-x= a dollar price decrease

n+x= an increase in quantity sold

n-x= a decrease in quantity sold

Therefore,

A $2 dollar increase in price=p+2x

2 decrease in room quantity sold= n-2x

Substituting in the above equation

r=(p+2x)*(n-2x)

P=$60

n=180

Then

r=(60+2x)*(180-2x)

r=10,800-120x+360x-4x^2

r=-4x^2-240x+10,800

Solve the quadratic equation

The maximum value of x in the vertex = - b/2*a

Where

b=240

a=-4

Value of x=-240/2*(-4)

X=30

r=-4x^2-240x+10,800

=-4(30)^2-240(30)+10,800

=-4(900)-7200+10,800

=3,600-7200+10800

=$7,200

The rate that maximises revenue=$7,200

4 0
3 years ago
Read 2 more answers
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