A certain lottery requires players to select 7 different numbers, in any order, from 1 to 51 inclusive. How many different sets of 7 numbers can be chosen?

Answers

Answer 1

Answer:

[tex]Selection = 345025251[/tex]

Step-by-step explanation:

Given

[tex]Total = 51[/tex]

[tex]Numbers = 7[/tex]

Required

Determine number of selection

It's important that

- The first number can be any of the 51 numbers

- The second number can be any of the 51 numbers

- The third number can be any of the 51 numbers

- The fourth number can be any of the 51 numbers

And so on

Hence, number of selections is:

[tex]Selection = 51 * 51 * 51 * 51 * 51[/tex]

[tex]Selection = 51^5[/tex]

[tex]Selection = 345025251[/tex] ways


Related Questions

URGE
Si la probabilidad es 0.70 de que un estudiante con muy altas calificaciones entre al TEC ¿Cual es la probabilidad de que tres de cinco estudiantes con muy altas calificaciones entren al TEC?

Answers

Answer:

La probabilidad de que el estudiante entre, es 0.7

Entonces la probabilidad de que el estudiante no entre, es 1 - 0.7 = 0.3.

Ahora, si de 5 estudiantes, 3 entran y 2 no, entonces la probabilidad para un dado arreglo es: 0.7 tres veces, y 0.3 dos veces.

Y la probabilidad conjunta es igual al producto de las probabilidades individuales.

P = (0.7^3)(0.3^2)

Pero esto es para un arreglo, tenemos que tener en cuenta las permutaciones.

Sabemos que para M elementos, el numero de diferentes arreglos de N elementos (tal que N ≤ M) es:

[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]

En este caso, tenemos que M = 5 y N = 3, entonces tenemos:

[tex]C(5, 3) = \frac{5!}{2!*3!} = 5*4/2 = 10[/tex]

Entonces la probabilidad va a ser:

P = 10* (0.7^3)(0.3^2) = 0.3087

Hershey's bar were purchased at $7 per dozen and sold at $1.25 each. Find the profit on 15 dozen Hershey's bar.

Answers

Answer:

[tex]Profit = \$120[/tex]

Step-by-step explanation:

Given

[tex]Cost\ Price = \$7[/tex] per dozen

[tex]Selling\ Price = \$1.25[/tex]

Required

Determine the profit on 15 dozen

First, we need to determine the selling price of 1 dozen.

[tex]Selling\ Price = \$1.25 * 12[/tex]

[tex]Selling\ Price = \$15[/tex]

Next, we calculate the profit on a dozen

[tex]Profit = Selling\ Price - Cost\ Price[/tex]

[tex]Profit = \$15 - \$7[/tex]

[tex]Profit = \$8[/tex]

Profit on 15 dozen is:

[tex]Profit = 15 * \$8[/tex]

[tex]Profit = \$120[/tex]

A school keeps track of the percentage of scholars who pack lunch versus buy lunch. On Monday, 80% of scholars packed lunch. On Tuesday, 70% of the scholars who packed lunch do so again, and 50% of those who bought lunch on Monday ​pack ​lunch on Tuesday. Assume all scholars either pack lunch or buy lunch. Find the percent change in the number of scholars who bought lunch from Monday to Tuesday, and indicate whether this was an increase or decrease.

Answers

Answer:

Increase by 10% of students that bought lunch.

Step-by-step explanation:

I think the percent change was by 10%. Because 10% of those students who packed lunched on Monday did not pack lunch on Tuesday, and assuming that they either buy or pack it that means that 10% more students bought lunch.

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. M4,6 with the standard operations

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

The answer is "M4,6 is really a set of all 4x6 arrays, because it is shuttered by relation with vector and also particle fractions. Its structure for 4x6 also is M4,6".

HURRY PLEASEE!!!! Alexandria planted a rose bush that was 26 inches tall several years ago. The rose bush has grown at a race of approximately .75 inches per year. Alexandria uses this equation to calculate the bush’s height, h. 0.75x + 26 = h What does the x represent in this equation?
Group of answer choices

The x represents the number of years since the rose bush was planted

The x represents the heights of the rose bush today.

The x represents the bush’s growth each year.

The x represents the starting height of the rose bush

Answers

Number of years since rose bush was planted

What are the coordinates of point R​

Answers

(5,3) is the correct option:)

MATH HELP NEEDED ASAP PLZ!

Answers

It’s supposed to be 7/12 meaning that the 7 is supposed to be inside the box not outside

Answer:

You need to change 7 and 12 in your division equation.

Like this

[tex]12\sqrt{7}[/tex]

Then once you do this then you should get an answer of .5833

Match each expression on the left with an equivalent expression on the right

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the expressions but here are some expressions

a. ✓4x²y^4. 1. 2x✓y

b. ✓8x²y. 2. 2y✓2x

c. ✓4x²y. 3. 2xy²

d. ✓16xy². 4. 2x✓2y

e. ✓8xy². 5. 4y✓x

a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4

= 2 × x × y²

= 2xy²

Therefore, ✓4x²y^4 = 2xy²

b. ✓8x²y = ✓8 × ✓x² × ✓y

= ✓4 × ✓2 × ✓x² × ✓y

= 2 × ✓2 × x × ✓y

= 2x✓2y

Therefore, ✓8x²y = 2x✓2y

c. ✓4x²y = ✓4 × ✓x² × ✓y

= 2 × x × ✓y

= 2x✓y

Therefore, ✓4x²y = 2x✓y

d. ✓16xy² = ✓16 × ✓x × ✓y²

= 4 × ✓x × y

= 4y✓x

Therefore, ✓16xy² = 4y✓x

e. ✓8xy² = ✓8 × ✓x × ✓y²

= ✓4 × ✓2 × ✓x × ✓y²

= 2 × ✓2 × ✓x × y

= 2y✓2x

Therefore, ✓8xy² = 2y✓2x

Answer:

Step-by-step explanation:

What is the Answer (Easy)
Could you give a small explanation too.

Answers

Answer:

Yes the answer is 5sqrt(2)

Step-by-step explanation:

Since area is 25 we know side of square is 5. Thus the diagonal is 5sqrt(2)

need some help please ​

Answers

Answer:

3 cups

Step-by-step explanation:

what two ratios equivalent to the ratio of 9/4?​

Answers

Answer: Ratio 4:9 is also 49 . This ratio is in reduced form (no whole can be divided into both evenly).

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9/4= 9/4 ÷ 2=?

2. 9/4 ÷2= 1.125

3. 1.125= 9/8 = 9:8

The table summarizes data about the median debt for graduating students from a sample of universities in
California and New York.
No debt
Total
High debt
445
130
California Students
New York Students
Total
72
271
716
575
343
918
202
Is there an association between the state and the debt level for graduates? Explain your reasoning in the box
below.

Answers

Answer:

at we both use canvas let's gooo

Step-by-step explanation:

we are the best bro keep up the good content btw

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

BRAINLYEST FOR FIRST PERSON AND 5 STARS!!!!!!!!!!! simplify 3 x 5/6=
A. 15/6
B. 23/6
C. 2 1/2
D. 3 5/6
Simplify
7/8 x 1 1/3=
A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24
Simplify
3 x 1/9=
A. 1/3
B. 3/9
C. 28/9
D. 3 1/9

Simplify
3/10 x 10/21=
A. 1/3
B. 1/7
C. 3/21
D. 30/210
Simplify
5/12 x 1/12=
A. 1/5
B. 5/144
C. 12/60
D. 5

Answers

Answer:

1.  3x5/6= 15/6 or 2 1/2

2. 7/8x11/3= 77/24 (Not listed)

3. 3x1/9= 3/9 or 1/3

4. 3/10x10/21= 1/7

Step-by-step explanation:

You have to multiply the numbers like simple multiplication and then try to simplify as much as possible in the process.

Hope this helps:)!!

please answer! What is the scale factor from triangle a to triangle b? ​

Answers

Triangle b is larger than triangle a
Answer: The scale factor is 1.5

Explanation: The value of two corresponding legs are given. You use that and the knowledge of triangle A to B to create the equation 18/12. You then get the answer 1.5

Steve props a ladder against a wall of a building so that the he can get to the roof and
throw water balloons at pedestrians. If the angle of elevation from the bottom of the
Aladder to the roof is 60°, and the building is 35 feet tall, how long must the ladder be
to the nearest tenth of a foot?

Answers

Answer:

30 ft

Step-by-step explanation:

you use 35x sin(60) because 35 is the hypotenuse and the angle is 60 degrees

One and a half plus 1/8 =?

Answers

Answer:

1/2+1/8=5/8

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/2, 1/8) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/2×4/4)+(1/8×1/1)=?

Complete the multiplication and the equation becomes

4/8+1/8=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+1/8=5/8

This fraction cannot be reduced.

Therefore:

1/2+1/8=5/8

Hope this helps!!

Answer:

1/2+1/8=5/8

Step-by-step explanation:

yes

Mrs. Smith earns 3500 a month she gives 280 a month savings is what precent of her income

Answers

Answer:8%

Step-by-step explanation:

8% of her income because I did

280

-----

3500

=

X

------

100 ( Sorry if I'm wrong <3 )

If a = 2 + i, and b = 3 – 2i, what is a/b?

Answers

Answer:

it's [tex]\\\frac{4}{13} +\frac{7}{13}i[/tex]

Step-by-step explanation:

The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household spends on chores per week. Which equation best models this data set?

A. y = 0.34x + 5.19
B. y = -0.34x - 5.19
C. y = 0.34x - 5.19
D. y = -0.34x + 5.19

Answers

Answer:

Option (D)

Step-by-step explanation:

Equation to represent the household expenditure per week will be in the form of,

y = mx + b

Where m = slope of the line

b = y-intercept

From the graph attached,

Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.

Since, y-values on the graph are decreasing with the increase in the x-values,

Slope of the graph will be negative.

[Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex], Since rise of the line is negative and run is positive, slope will be negative]

By these properties equation of the linear graph will be,

y = -0.34x + 5.19

Option (D) will be the correct option.

The equation that best models this data set is y = -0.34x + 5.19

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the time spent on chores for x household members.

From the graph, the line passes through (3, 4.25) and (8, 2.5). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4.25=\frac{2.5-4.25}{8-3}(x-3) \\\\y-4.25=-0.35(x-3)\\\\y=-0.34x+5.2[/tex]

The equation that best models this data set is y = -0.34x + 5.19

Find out more at: https://brainly.com/question/13911928

the difference between two numbers is 10 and their sum is four times the smaller number. find the two numbers

Answers

Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

  = 5

x+10 = 5+10

       = 15

Please help Do not use me for a point please please help

Answers

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

The product of a number X and 18 is 113.4. For which equation in value of X represents this relationship

Answers

Answer:

Step-by-step explanation:

18x = 113.4

2 ÷ 1
_ _
5 7



i am too dumb to do this myself so help​

Answers

Answer:

14/5 or

2.8 or

2 4/5

Step-by-step explanation:

Math

Answer:

2.8 or 14/5

keep change change

2×7=14

5×1=5

Step-by-step explanation:

PLEASE. It’s due in 30min.

Answers

Answer:

BC, DB, CD

Step-by-step explanation:

The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.

Autumn invested $2,800 in an account paying an interest rate of 6.2% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 8 years?

Answers

Answer: There would be $4590 (approx.) in the account after 8 years.

Step-by-step explanation:

Formula to calculate accumulated amount if compounded monthly :

[tex]A= P(1+\dfrac{r}{12\times100})^{12t}[/tex], where P+ principal value, r = rate of interest , t = time.

Given: P=$2,800 , r = 6.2%

t= 8 years

Substitute all values in the formula , we get

[tex]A=2800(1+\dfrac{6.2}{1200})^{12\times8}\\\\=2800(1+0.005167)^{96}\\\\=2800(1.005167)^{96}\\\\=2800(1.64009619996)=4592.2693\approx4590\text{ [Rounded to the nearest ten dollars] }[/tex]

Hence, There would be $4590 (approx.) in the account after 8 years.

Answer:

4590Step-by-step explanation:

15h - m = 13h + q pleas helppp

Answers

I don’t know what I’m solving for so I solved for h and with that it should be h=q/2+m/2

Explanation:

15h-m=13h+q
-13h -13h
———————-
2h-m=q
+m +m
———————-
2h=q+m
/2 /2 /2
———————-
H=q/2+m/2

The answer fam is.......... H= q/2 + m/2

Please help. Please answer sensibly! I will give brainliest to the correct answers !

Answers

If ur number is 9 then that’s the answer!
It says on the bottom “the answer is the number I were thinking of!”

HELP ME PLS!!

Which is true about the two triangles?

Answers

Answer:

A) congruent triangles

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

ILL GIVE YOU BRAINLEST IF RIGHT!!

Answers

Answer:

6

Step-by-step explanation:

Consider the two functions given below. What is the y-intercept of g? A. (0,14) B. (0,4) C. (0,9) D. (0,-5)

Answers

Note: You probabily forgot to mention the two function. While after some research, I was able to find two functions based on which I would like to solve your query.

Answer:

The y-intercept of the equation will be (0, 4).

Step-by-step explanation:

Considering the assuming functions f(x) and g(x).

[tex]f(x) = -3x - 5[/tex]

[tex]g(x) = f(x)+9[/tex]

So,

[tex]g(x) = (-3x-5)+9[/tex]     ∵ [tex]g(x) = f(x)+9[/tex]

[tex]g(x) = -3x+4[/tex]  

Now, finding the y-intercept

so putting x = 0 in function g(x)

[tex]g(x) = -3(0)+4[/tex]

[tex]g(x) = 0+4[/tex]

[tex]g(x) = 4[/tex]

Therefore, the y-intercept of the equation will be (0, 4).

Answer:

B

Step-by-step explanation:

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