a. There are 648 integers from 1 through 999 that do not have any repeated digits.
b. There are 351 integers from 1 through 999 that have at least one repeated digit.
c. The probability that an integer chosen at random from 1 through 999 has at least one repeated digit is approximately 0.351.
How many integers from 1 through 999 have unique digits?Learn more about the count of integers without repeated digits from 1 to 999.In a range from 1 through 999, there are 900 integers in total. To determine the number of integers without repeated digits, we need to consider the possible combinations. For the hundreds place, there are 9 options (1-9) since zero cannot be used as the first digit. For the tens place, there are 9 options again (0-9 excluding the digit already used in the hundreds place). Similarly, for the units place, there are 8 options available (0-9 excluding the two digits already used in the hundreds and tens places). Multiplying these options together, we get 9 * 9 * 8 = 648 integers without repeated digits.To calculate the number of integers with at least one repeated digit, we can subtract the count of integers without repeated digits from the total count of integers in the range. Therefore, 900 - 648 = 252 integers have at least one repeated digit.
To find the probability, we divide the count of integers with at least one repeated digit by the total count of integers in the range, resulting in 252 / 900 ≈ 0.351. Therefore, the probability that a randomly chosen integer from 1 through 999 has at least one repeated digit is approximately 0.351.
Among the three-digit integers from 100 to 999, how many of them have at least one digit repeated?Out of the three-digit integers from 100 to 999, there are 351 integers that have at least one repeated digit. To determine this count, we subtract the number of unique-digit integers (648) from the total count of three-digit integers (900). Hence, 900 - 648 = 252 integers have at least one digit repeated.
If a three-digit integer is selected randomly from the range 100 to 999, what is the probability that it will have at least one repeated digit?If a three-digit integer is randomly selected from the range 100 to 999, the probability that it will have at least one repeated digit is approximately 0.39 or 39%. This probability is calculated by dividing the count of integers with repeated digits (351) by the total count of three-digit integers (900). Therefore, the probability is 351 / 900 ≈ 0.39 or 39%.
Learn more about combinatorics
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30 POINT !!!! NEED IT ASAP
Triangle A C B is a right triangle. Angle C A B is 90 degrees, angle A B C is (4 x) degrees, and angle A C B is (7 x minus 20) degrees. What is the m∠ACB? 10° 50° 90° 180°
Answer:
50°
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees
Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20
As such
90 + 4x + 7x -20 = 180
simplify
11x + 70 = 180
11x = 180 - 70
11x = 110
Divide both sides by 11
x = 110/11
x = 10
m∠ACB is 7x - 20
Substitute the value of x into the expression
= 7(10) - 20
= 70 - 20
= 50
Answer:
The answer is 50 degrees
Step-by-step explanation:
I am in need of help
Answer:
I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)
Step-by-step explanation:
can someone help solve/understand this?? plzzzz
Answer:
[tex]y = 4(0.5) {}^{x} [/tex]
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
[tex]4 = ab {}^{0} [/tex]
[tex]b {}^{0} = 1[/tex]
since anything to the 0 power is 1.
[tex]4 = a \times 1[/tex]
[tex]4 = a[/tex]
Know let plug it in to this equation.
[tex]y = 4b {}^{x} [/tex]
Let use 2,1 another point on the graph
[tex]1 = 4b {}^{2} [/tex]
Divide 4 by both sides
[tex]0.25 = {b}^{2} [/tex]
take sqr root of 0.25
[tex]0.5 = b[/tex]
So
the answer is
[tex]y = 4(0.5) {}^{x} [/tex]
g(n) = 4n h(n) = n2 + 3n Find g(h(n))
Answer:
g(h(n)) = 4n² + 12n
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationAlgebra II
Composite FunctionsStep-by-step explanation:
Step 1: Define
g(n) = 4n
h(n) = n² + 3n
g(h(n)) is n = h(n)
Step 2: Find
Substitute in function h(n) as n: g(h(n)) = 4(n²+ 3n)[Distributive Property] Distribute 4: g(h(n)) = 4n² + 12nThe length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Perimeter? =
Area? =
Answer:
Your answer is
Area = 16.23
perimeter = 24
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ
Answer:
The exterior angle of triangle XYZ is;
∠JXM
Step-by-step explanation:
The question is a word problem with the given parameters;
The points on line 'a' = L and M
The points on line 'b' = O and N
The point line 'c' intersect line 'a' = X
The point line 'c' intersect line 'b' = Z
The points on line 'c' = H and G
The point line 'd' intersect line 'a' = X
The point line 'd' intersect line 'b' = Y
The points on line 'd' = J and K
From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM
Answer:
Step-by-step explanation:
the answer is JXZ
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
what is the HCF ofusin prime factorization of 30 and 36
Answer:
Step-by-step explanation:
Prime factorization
30 = 2 × 3 × 5
36 = 2² × 3²
HCF = 2 × 3 = 6
Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
An air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =
Answer:
Step-by-step explanation:
E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V
Answer:
V = 14 m/s
Step-by-step explanation:
[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]
Linda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.
Help please lol
Answer:
D 565.2 in
Step-by-step explanation:
First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.
iv) The number 211539 is divisible by
Answer:
The answer would be the number 3
HELP MEEEE I NEED AN ANSWER
A carpenter has 6 feet of wood. How many inches of wood does the carpenter have?
Answer:
72 inches!
Step-by-step explanation:
since there are 12 inches in a foot, and there are 6 feet, you would multiply 6 x 12, so the answer would be 72 inches !!
i hope this helps ! ! :D
How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the population increased at a rate of 8%?
Answer:
(A): As year increases the number of pikas reduces.
(B): As year increases the number of pikas increases as opposed to when the rate reduces.
Step-by-step explanation:
See comment for complete question
Given
[tex]a = 144[/tex] --- Initial Population
[tex]r = 8\%[/tex] --- rate
(A) WHEN THE RATE DECREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1-8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1-0.08)^x[/tex]
[tex]f(x) = 144(0.92)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(1) = 144*0.92^1 =144*0.92=132.48[/tex]
[tex]f(5) = 144*0.92^5 =144*0.66=95.04[/tex]
[tex]Rate = \frac{95.04 - 132.48 }{4}[/tex]
[tex]Rate = \frac{-37.44}{4}[/tex]
[tex]Rate = -9.36[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(6) = 144*0.92^6 =144*0.61=87.84[/tex]
[tex]f(10) = 144*0.92^{10} =144*0.43=61.92[/tex]
[tex]Rate = \frac{61.92-87.84}{4}[/tex]
[tex]Rate = \frac{-25.92}{4}[/tex]
[tex]Rate = -6.48[/tex]
So, we have:
[tex]Rate = -9.36[/tex] for year 1 to 5
This means that the number of pikas reduces by 9.36 yearly
[tex]Rate = -6.48[/tex] for year 6 to 10
This means that the number of pikas reduces by 6.48 yearly
So, we can say that, as year increases the number of pikas reduces.
(B) WHEN THE RATE INCREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1+8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1+0.08)^x[/tex]
[tex]f(x) = 144(1.08)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(1) = 144(1.08)^1 = 144*1.08= 155.52[/tex]
[tex]f(5) = 144(1.08)^5 = 144*1.47= 211.68[/tex]
[tex]Rate = \frac{211.68 - 155.52}{4}[/tex]
[tex]Rate = \frac{56.16}{4}[/tex]
[tex]Rate = 14.04[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(6) = 144(1.08)^6 = 228.52[/tex]
[tex]f(10) = 144(1.08)^{10} = 310.89[/tex]
[tex]Rate = \frac{310.89-228.52}{4}[/tex]
[tex]Rate = \frac{82.37}{4}[/tex]
[tex]Rate = 20.59[/tex]
So, we have:
[tex]Rate = 14.04[/tex] for year 1 to 5
This means that the number of pikas increases by 14.04 yearly
[tex]Rate = 20.59[/tex] for year 6 to 10
This means that the number of pikas increases by 20.59 yearly
So, we can say that, as year increases the number of pikas increases as opposed to when the rate reduces.
what’s a non example of a slope
Answer:
a leveled line or a straight line
Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that
Answer:
128mm
Step-by-step explanation:
Given
[tex]Pipe = 88mm[/tex]
[tex]Ope\ nnings = 40mm\ larger[/tex]
Required
Determine the length of the openings of the pipe
To do this, we simply add 40mm to the length of the pipe.
This gives:
[tex]Ope\ nings = 88mm + 40mm[/tex]
[tex]Ope\ nings = 128mm[/tex]
Hence, the opening must be 128mm
jjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhbvvvvvvvvvvvvvvvvvvvvv
Answer:
Thanks for the point!
Step-by-step explanation:
Have a great day
Evaluate the expression when a=5 and b= -5.
-a +8b
10.04 × 8.8= ?
can you help me again please
Answer:
10.04 × 8.8 =?, ? = 88.352 :)
Answer:
88.352
Step-by-step explanation:
10.04
x. 8.8
=88.352
3 = 2 + n/4(that's supposed to be a fraction)someone help solve solve for n
Answer:
n = 4
Step-by-step explanation:
3 = 2 + n/4
1 = n/4
4 = n
Answer:
n = 4
Step-by-step explanation:
take the 2 and subtract it from itself then you gotta do it to the other side so it be 3 -2 and you get 1 then you multiply 4 to n/4 and it crosses it out and what you do to one side you do to the other so you multiply 4 by 1 & get 4
Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.
Answer:
27x + 45 + 9x
37x + 45
it's here
Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2
Answer:
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
Step-by-step explanation:
Given
Options A to D
Required
Determine which is true
Option A:
[tex]-\frac{38.44}{6.2} = 6.2[/tex]
[tex]-6.2 = 6.2[/tex]
This is not true
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
[tex]-6.2 = -6.2[/tex]
This is true
There is no need to check further
Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.
Answer:
im going to say c
Step-by-step explanation:
if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion
hope this helps im sorry if im wrong have a blessed day :)
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
Answer:
2 inches
Step-by-step explanation:
a=Lw
v=lwh
lw= 7
14/7=2
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS
[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]
[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{3}{4} [/tex]