The probability of a license plate meeting all the given criteria is approximately 0.0000126, or [tex]1.26 x 10^{-5[/tex].
Given that: A city issues 3-digit license plates and digits are 0 to 9.
Having all different digits:
To calculate this probability, use the same approach as before:
Number of favourable outcomes = 10 × 9 × 8
Total number of possible outcomes = 10 × 10 × 10
Probability = (Number of favourable outcomes) / (Total number of possible outcomes)
Probability = (10 × 9 × 8) / (10 × 10 × 10)
Probability = 720 / 1000
Probability = 0.72 (*)
Having at least one even digit:
So, the license plate must have all odd digits (1, 3, 5, 7, or 9).
Number of favourable outcomes = 5 × 5 × 5
Total number of possible outcomes = 10 × 10 × 10
Probability = (5 × 5 × 5) / (10 × 10 × 10)
Probability = 125 / 1000
Probability = 0.125 (1)
Now, the probability of having at least one even digit is the complement of the above probability:
Probability of having at least one even digit = 1 - 0.125
Probability = 0.875 (2)
Having the digits in ascending or descending order:
Ascending: 012, 123, 234, 345, 456, 567, 678, 789
Descending: 987, 876, 765, 654, 543, 432, 321, 210
Total favourable outcomes = 8 + 8
Total favourable outcomes = 16
Probability = 16 / 1000
Probability = 0.016 (3)
Having a specific digit in a specific position:
Let's say want the digit 7 to be in the first position.
Number of favourable outcomes = 1
Total number of possible outcomes = 10 × 10
Probability = 1 / 100
Probability = 0.01 (4)
Now, to find the probability of all criteria being met simultaneously, multiply the individual probabilities:
Probability of meeting all criteria = Probability (1) × Probability (2) × Probability (3) × Probability (4)× Probability (*)
Probability of meeting all criteria = 0.125 × 0.875 × 0.016 × 0.01 × 0.72
Probability ≈ 0.0000126
Hence, the probability of a license plate meeting all the given criteria is approximately 0.0000126.
Learn more about Probability here:
https://brainly.com/question/32117953
#SPJ12
One meter of electrical cord costs 3 dollars. How much should one pay for...
2/3 meters?
Based on the graph below, what is the y-intercept?
Answer:
the y intercept you are looking for is -3
What is the slope intercept form of the linear equation x + y = 12
Do Yr selffffffffffffffff i can't do this
A store sells an item for $35 after a 25% markup. What is the price the store paid?
Answer:
43.75
Step-by-step explanation:
25 divided by 100=.25
.25*35=8.75
8.75+35=43.75
The store paid a price of $28 for the item.
What is Mark up Percentage?Mark up percentage is the percentage of profit on a certain service or commodity.
We know the formula to calculate mark up percentage.
Mark up Percentage = [(Selling price - Cost) / cost] × 100
Here, given that,
Mark up percentage = 25%
Selling price = $35
We have to find the cost.
Let x be the price that the store paid for the item.
Substitute the given values in the formula for mark up percentage.
25 = [(35 - x) / x] × 100
Dividing both sides of the equation by 100,
25/100 = (35 - x) / x
0.25 = (35 - x) / x
Multiplying both sides with x,
0.25x = 35 - x
Adding both sides with x,
0.25x + x = 35
1.25x = 35
Dividing both sides by 1.25,
x = 35 / 1.25
x = 28
Hence the price of the item that the store paid is $28.
To learn more about Mark up Percentage, click :
https://brainly.com/question/14318030
#SPJ2
A boy walked to the store with 3 apples. He dropped two of them. How many does he have left. PLEASE HELP
Answer:
Doesnt he still have 3? All he did was drop 2
Step-by-step explanation:
1. (MC)
Rewrite the rational exponent as a radical
extending the properties of integer exponents. (2 points)
There is 1⁄3 gallon of water in a 3-gallon container. What fraction of the container is filled? (There’s also a picture :). )
Answer:
There is 1/3 gallon of water in a 3 gallon container. What fraction of the container is full? ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH.
There is a tank with a capacity of 3 gallons, then the fraction of the container filled is 1/3.
What is a fraction?In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.
As per the given data provided in the question,
The total capacity of the container = is 3 gallons
The portion which is empty = 3-1/3 = 8/3
It means that 8/3 portion of the tank is empty and 1/3 portion of the tank is filled.
To know more about Fraction:
https://brainly.com/question/10354322
#SPJ2
What is the following product? root(3, 4) * sqrt(3)
Answer:
It’s option C
Step-by-step explanation: just took the quiz on edge
Answer:
C
Step-by-step explanation:
1/4x+2=-4 how do you do this step by step?
Answer: Solution
=
−
2
4
Step-by-step explanation: Combine multiplied terms into a single fraction
1
4
+
2
=
−
4
1
4
+
2
=
−
4
Multiply by 1
1
4
+
2
=
−
4
4
+
2
=
−
4
Subtract
2
2
2
from both sides of the equation
1. p(x) = 5x3 - 10x2 ...
help would be greatly appreciated also you the goat
An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.
Answer:
ok keep going more questions cause ido t get it what u trying to ask
Apply the distributive property to create an equivalent expression. ( 1 − 2 g + 4 h ) ⋅ 5 =
Answer:
{(1-2g) + 4h] x 5 =
Step-by-step explanation:
Find the cost price when,
(a) Selling price = Rs 725 and 15% gain
Step-by-step explanation:
Selling Price (SP) = Rs. 725
profit rate (P%) = 15 %
Now
Cost Price (CP)
[tex] = \frac{sp \: \times 100}{100 + p\%} \\ = \frac{725 \times 100}{100 + 15} \\ = \frac{72500}{115} \\ = rs \: 630.42[/tex]
c. What number is 40% of 1607?
Answer:
642.8
Step-by-step explanation:
1607 divided by 10 = 160.7 x 4 = 642.8
SOMEONE PLEASE HELP. WILL MARK BRAINIEST!!!
1 point
A rectangular ballroom is being carpeted. The room measures 12 feet by 11 feet. If the carpet costs $3.60 per square foot, then what is the cost of
the carpet?
Answer:
first lets find the area of the floor.
A=l*w where l=length and w=width
Plug in the data
A=14*12
A=168ft²
If 1 square foot of carpet is 2.90$, then 168 square feet are...
1 sqft 168sqft
_______ = ________
2.90$ x$
Cross multiply
1x=487.20
divide both sides by 1
x=487.20 dollars
Answer= $487.20
Step-by-step explanation:
Anna is baking cookies.The recipe ask for 3/4 cup of flour per batch.Anna wants to bake 4 batches of cookies.She made the model below to help her find the amont of flour in cups for 4 batches of cookies
(9x2/3)x2/3 please help
Answer:
4
Step-by-step explanation:
=(9×2/3)×2/3
=(3×2)×2/3
=6×2/3
=2×2
=4
What is the quotient of 27,036 and 9?
Answer:
the answer is 3,004 that is 27,036 ÷ 9
what is the value of x
Answer:
124°.
Step-by-step explanation:
x+24°+32°=180° (sum of angles is 180°)
⟹x+56°=180°⟹ x=180°–56°=124°.
Evaluate the sum of 9.1 and 368.8.
Answer:
377.9
Step-by-step explanation:
368.8 + 9.1 = 377.9
Please help with this pleaseee
Answer:
CED=126
Step-by-step explanation:
The total of all 3 angles should be 180
so:
180-38-16 (ABC is equal to ECD)
180-38-16=126
126=CED
Answer:
∠E= 126°
Step-by-step explanation:
the parallel lines create a transversal (the diagonal line that connects them)
this transversal rule shows us that
∠DCE=∠CBA
so ∠DCE= 38°
let's look at the triangle
∠C+∠D+∠E=180°
38+16+∠E= 180°
∠E= 126°
Two numbers are in the ratio of 5:6. Their sum is 77. What is the positive difference between the two numbers?
Answer:
7
Step-by-step explanation:
a:b = 5:6
∃x such that a=5x and b=6x
a+b = 77
5x+6x = 77
x = 7
a = 5x = 35
b = 6x = 42
42-35 = 7
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Please see the picture
Help me
Test
Answer:
100.3 square units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of circle
Note: 2 semicircles = 1 full circle
Area of the figure = a*h + πr²
Where,
a = 10
h = 5
r = ½ of 8 = 4
Plug in the value into the equation
Area = 10*5 + π*4²
Area = 50 + π*16
Area = 100.265482 ≈ 100.3 square units (nearest tenth)
6x+4y=-6
2x+5y=9
Please help
Answer:
Step-by-step explanation:
Simplifying
6x + 4y = 6
Solving
6x + 4y = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
6x + 4y + -4y = 6 + -4y
Combine like terms: 4y + -4y = 0
6x + 0 = 6 + -4y
6x = 6 + -4y
Divide each side by '6'.
x = 1 + -0.6666666667y
Simplifying
x = 1 + -0.6666666667ySimplifying
6x + 4y = 6
Solving
6x + 4y = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
6x + 4y + -4y = 6 + -4y
Combine like terms: 4y + -4y = 0
6x + 0 = 6 + -4y
6x = 6 + -4y
Divide each side by '6'.
x = 1 + -0.6666666667
Simplifying
x = 1 + -0.6666666667
Simplifying
2x + 5y = 9
Solving
2x + 5y = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
2x + 5y + -5y = 9 + -5y
Combine like terms: 5y + -5y = 0
2x + 0 = 9 + -5y
2x = 9 + -5y
Divide each side by '2'.
x = 4.5 + -2.5y
Simplifying
x = 4.5 + -2.5y
Answer:
(x,y)=(-3,3)
Step-by-step explanation:
hope you understand
........
Help will do brainliest asked this before plz!!!!! ASAP!!!! A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lb of trail mix that is 40% raisins. How many pounds of each mix does the manager use?
Answer:
480 and 320
I hope this helps you! I also had this question
someone please help me out
Answer:
x is 68 :)))
hope that helpsss
SOMEONE Help me please
Answer:
The answer should be B. The mistake the studen made was subtracting 3/4 from 1, instead of multplying 3/4 and the 12 inside the brackets
Step-by-step explanation:
What is an important requirement for an emergency fund?
Answer:
While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.
Graph the function.
f(x) = square root x+1