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Posted in Mathematics

In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket. (Put your answer to three decimal places.) Three digits in exact order.


P(first number correct) = 1/10
P(second number correct) = 1/10
P(third number correct) = 1/10
P(fourth number correct) = 1/10

P(all four numbers correct) = 1/10 x 1/10 x 1/10 x 1/10
= 1/10000
= 0.0001

Related Questions

Posted in Mathematics

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: (5,1) 
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.

Posted in Mathematics

Find the multiplicative inverse of 6 + 2i.

The solution to the problem is as follows:

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this 

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40 

Dividing by 40 gets you 1 

(6 + 2i) (6-2i)/40 = 1 

The answer is (6 - 2i)/40 = (3 - i)/20

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

The price of a cup of coffee was $2.65 yesterday. today, the price fell to $2.50 . find the percentage decrease. round your answer to the nearest tenth of a percent.

We must find the difference between prices. $2.65 - $2.50 = $0.15. Now we need to calculate what percent $0.15 is of $2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease!

Posted in Mathematics

Which of the following is the statement of the triangle inequality theorem? A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle. B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C. The longest side of a triangle is opposite the largest angle. D. The largest angle of a triangle is between the two longest sides.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

 a+b > c

case 2)

 a+c > b

case3)

 c+b > a

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

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Posted in Mathematics

What is the probability that a couple will have a girl a boy a girl and a boy in this specific order?

P(boy)=1/2
P(girl)=1/2
P(a girl, a boy , a girl and a boy)=1/2*1/2*1/2*1/2= 1/16
P(2 boys and 2 girls ) = 1/[4!/(2!*2!)] =1/6

hope this helps u

Posted in Mathematics

Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term. 7x3y3 + 4 − 11x5y2 − 3x2y

For the answer to the question above,  the power of "y" doesn't influence descending order for x even if it is higher than power of x.

Unordered polynomial is 
7x3y3 + 4 - 11x5y2 - 3x2y

Polynomial in descending order  looks like this
-11x5y2 + 7x3y3 - 3x2y + 4

Degree of the second term is 5 ( because of x5 ) 

Posted in Mathematics

Each set of ordered pairs represents a function. Write a rule that represents the function. 1. (0,0),(1,4),(2,16),(3,36),(4,64) 2. (0,0),(1,0.5),(2,2),(3,4.5),(4,8)

My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

y=4x2

second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than 80 footballs and baseballs in stock during the month. What is the maximum profit the store can make from selling footballs and baseballs in a month?

We are given with $6 profit per football sold and $5.50 profit per baseball sold. There are 35-45 footballs and 40-55 baseballs sold but there are only 80 balls stock in the store. The maximum profit is incurred from selling more of football and less of baseball. The equal number could also be possible. Having 40 footballs and 40 baseballs can be a possibility. However, having 39 footballs and 41 baseballs has smaller profit than the equal number. Likewise, 41 footballs lead to 39 baseballs which are not within the range. The answer is 40 footballs and 40 baseballs with a total profit of $460. 

Posted in Mathematics

If np >5 and nq>5 estimate P (fewer than 4) with n=13 p=0.4 by using normal distribution as an approximate to the binomial distribution if np <5 or nq< then state that the normal approximation is not suitable.

The Normal approximation to the binomial 

is as follows

mean=13(.5)=6.5 
variance=6.5(.5)=3.25 
Pr[fewer than 4]= 
Pr[N<=3] Apply the continuity correction 
Pr[N<=3.5]~=Pr[Z<3.5-6.5/sqrt(3.25)]= 

Pr[Z<-1.66]=0.048457226

I hope my answer has come to your help. God bless and have a nice day ahead!

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Posted in Mathematics

1735/1000 is what in decimal form

To write 1735/1000 as a decimal you have to divide numerator by the denominator of the fraction. 
We divide now 1735 by 1000 what we write down as 1735/1000 and we get 1.735 1735/1000 as a decimal equals 1.735

Posted in Mathematics

Whats 1/16 converted to a decimal

0.0625 is the answer in decimal form

Posted in Mathematics

List 5 numbers with 6 in the tens place

Tens place is the second digit of a number from the right. So the first number from the right is the ones place, next is the tens place, then the hundreds place and so on. The example of 6 in the tens place are:

63

161

1,265

11,269

443,462

Posted in Mathematics

A car travel 90 Km in 2 1/2 hours. How much time is required to cover 30 Km and find the distance cover in 2 hours

90:2 1/2
90/3 : (2 1/2)/3
30 : (2 1/2)/3
30 : (5/2)/(3/1)
30 : 5/2*1/3
30 : 5/6
30km in 50 mins

90 : 2 1/2
90/(2 1/2) : (2 1/2) / (2 1/2)
90/(2 1/2) : 1
(90/1)/(5/2) : 1
(90/1)*(2/5) : 1
180/5 :1
36:1
Multiply each side by 2:
72:2
72 km in 2 hours

Hope this helps :)

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Posted in Mathematics

Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle? $8.22h > $623 $8.22h ≤ $623 $8.22h ≥ $623 $8.22h < $623

Answer:

C.8.22 h\geq$ 623

Step-by-step explanation:

We are given that Sophia is saving money for a new bicycle.

The bicycle will  cost atleast $623.

Sophia makes $8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22

Total money made by Sophia in h hours =8.22 h

According to question

8.22 h\geq $623

Hence, option C is true.

Posted in Mathematics

Solve for w. 2w=12-4w Simplify your answer as much as possible.

So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!

Posted in Mathematics

Mrs. Donley's math class has a total of 25 students. On Friday, the class was given an eight question quiz on fractions. The number of incorrect answers given by the students is shown below. Incorrect Answers Number of Students 0 5 1 7 2 4 3 6 4 2 5 1 What is the relative frequency of students that missed 1 question on the quiz? A. 0.28 B. 0.48 C. 0.35

You need to find the amount of students who missed one question, and divide that by the total number. If you sum all the students, you find that there are 25 students. From the chart, 7 missed 1 question, therefore the solution would be 7/25, which is 0.28, or A.

A. 0.28

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Posted in Mathematics

Your $1000 investment in an energy stock doubles. Your $1000 investment in a tech stock drops in half. What was the total return on the two investments?

Total return, when measuring performance, is the actual rate of return of aninvestment or a pool of investments over a given evaluation period. Total returnincludes interest, capital gains, dividends and distributions realized over a given period of time.

So the total return = (1000*2) + (1000/2) = $2500

Posted in Mathematics

Find the value of 3x + 2 when 7+ x = 5

I hope this helps you




x= 5-7


x= -2


3.(-2)+2


-6+2


-4

Posted in Mathematics

What is the answer for 5(n-6)-2=2n-5

5(n-6)-2=2n-5
5n-30-2 = 2n-5
5n - 2n = 30+2-5
3n = 27
n = 27/3
n = 9

So, your final answer is 9

Hope this helps!

Posted in Mathematics

Find all the zeros of the function y=x^3+6x^2+x+6

Y=X^3+6x^2+X+6 that is your answer
one more thing X= not real solution

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Posted in Mathematics

1 plus 1 the answer is 2

Answer:

yes your correct the answer is 2

Step-by-step explanation:

Posted in Mathematics

Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? Map Diagram: Input 1 2 3 4 5 Output 1 2 3 4 5 The arrow points from 4 under input to 1 under output. Answer Choices are: A. (1, 1) B. (1, 4) C. (4, 1) D. (4, 4)

Input options represent first number in ordered pair and output options represent second number in ordered pair.

We can see that arrow starts from 4 and is pointing to 1 which means:
first number is 4 and second is 1

Ordered pair is:
(4,1)

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