There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.
In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).
So, the number of different codes that can be made is:
20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280
Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
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Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
ESTIMATE THE QUOTIENT (Use rounding): 59.67 ÷ 11.1 =
Answer:
59.67 rounds to 60, 11.1 rounds to 10, so 60 divided y 10 equals 6
Step-by-step explanation:
hope this helps
y = 3 2 x A 2-column table with 4 rows. Column 1 is labeled Days x with entries 1, 2, 3, 4. Column 2 is labeled Hours y with entries 1 and one-half, 3, 4 and one-half, 6. On a coordinate plane, a line goes through points (1, 1.5) and (2, 3). The models all represent a real-world problem. How would you match the models to a problem? Find a problem with the same variables and the same relationship between the quantities. Find a problem that has the same numbers. Find a problem that has the same variables. Find a problem that has the same x-values.
sorry about the girl who stole points anways on edg its A
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
A __________________ sample has characteristics similar to those of the entire population and, therefore, can be used to draw a conclusion about the (general) population.
Answer:
Representative.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
A representative sample has characteristics similar to those of the entire population and, therefore, can be used to draw a conclusion about the (general) population. Thus, it is considered typically to be a subset of population and can be used to accurately make conclusions and reflect the characteristics of the larger sample (population).
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
what is the square root of 31
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
Find 759 ÷ 3. PLS I NEED HELP ITS EITHER HAS A REMAINDER OR NOT ALSO GIVE ME AN ANSWER PLS DIS DUE TODAY
Answer:
253
Step-by-step explanation:
Answer:
yeah 253
Step-by-step explanation:
Two-Way Frequency Tables Please Help.
Answer:
17%
Step-by-step explanation:
Percentage of full time employees who ride bus to and fro from work?
Since the table as been arranged as a two way frequency table., we only need to find the value at the intersection of the two Given conditions ;
Horizontally, the type of ride = bus
Vertically, the type of employee = full-time
Hence, full time employees who take bus to and fro = 0.17
As a percentage =, (0.17 * 100) = 17%
show me a Graph x=−4.
Answer:
The graph of line x = -4 is also attached below.
The graph indicates that no matter what the value of y is, the x-value remains the same. Hence, the line is vertical with undefined slope,
Step-by-step explanation:
Given the line
x=−4
The given line x=-4 represents the vertical. We know that the slope of a vertical line is undefined. Thus, the slope of x=-4 is undefined.
As the line is vertical, meaning no matter what the value of y is, the x-value remains the same.
The graph of the line x = -4 is also attached below.
The graph indicates that no matter what the value of y is, the x-value remains the same. Hence, the line is vertical with undefined slope,
I need help on 9 10 and 13 plzzz
Answer:
its 35
Step-by-step explanation:
which expression represents purely real numbers and which expression represents non-real complex number?
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.Please help due in 10 minutes
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?
24 in.2
108 in.2
224 in.2
486 in.2
Answer: 486 in
Just did this on edge
The enlargement transformation applied to the rectangular figure gives
a rectangle that is enlarged and similar to the figure.
Correct response:
The area of the enlarged picture is 486 in.²The given dimensions of the picture are;
Height, [tex]\overline{MN}[/tex] = 6 in.
Width, [tex]\overline{LP}[/tex] = 4 in.
The length of QL' = 12 + 42 = 54
By similar triangles, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{ \dfrac{\overline{QL'}}{\overline{QL}}}[/tex]
Which gives;
[tex]\dfrac{\overline{L'P'}}{6} = \mathbf{ \dfrac{54}{12}}[/tex]
[tex]\overline{L'P'} = \dfrac{54 }{12} \times 6 = \mathbf{27}[/tex]
Given that an enlargement gives similar figures, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{\dfrac{\overline{L'M'}}{\overline{LM}}} = Scale \, factor \ of \ the \ enlargement[/tex]
Therefore;
[tex]\dfrac{27}{6} = \dfrac{\overline{L'M'}}{4}[/tex]
Which gives;
[tex]\overline{L'M'} = \dfrac{27}{6} \times 4 = \mathbf{ 18}[/tex]
The area of the enlarged picture is, A = [tex]\overline{L'M'}[/tex] × [tex]\overline{L'P'}[/tex]
Which gives;
A = 27 × 18 = 486
The area of the enlarged picture on the wall is A = 486 in.²
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which expressions are equal ?
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
solve for x round your answer to the nearest tenth
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
What is 30% of 70? A:9
B:12 C:19 D:21
Answer:
Step-by-step explanation:
21
write the equivalent fraction by division 30 by 42
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
please help me find the slope im begging
Answer1)-1 2) 5/2:
Step-by-step explanation:
Find the value of x in the triangle.
67 113
293
7
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
Alex has saved $30 and he earns $12 per hour. He wants to have at least $150 in his savings account. How many hours can he work?
Answer: 10
Step-by-step explanation: 120 divided by 12 = 10
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
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The cost of two pounds of cherries is
$8.58. What is the unit rate that describes the
cost per pound of cherries?
Answer:
since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29
Step-by-step explanation:
Answer:
$4.29 per pound
Step-by-step explanation:
(8.58 dollars)/(2 pounds) = ((8.58/2) dollars)/pound =4.29 dollars/pound
make
x
the subject of the formula
p
+
x
=
t
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line