Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage if the correct ten-letter code is entered. Each key may only be used once. How many codes are possible? The number of possible codes is:_____
Answer:
3,628,800 (aka "10!")
Step-by-step explanation:
The first letter in the code can be 10 possible letters.
Since every letter can only be used once, the second letter can only be 9 possible letters.
E.G.: If the first letter is A, the second letter is B-J.
The third letter would be 8 possible letters, than the fourth would be 7, etc.
In math form, figuring out the possible combinations would be written out as so:
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
An easier way to write this out would be using "10!", which stands for "10 Factorial"
The result of the above equals 3,628,800.
Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. What is the probability that all three randomly selected households own a dog
Answer: 0.091125
Step-by-step explanation:
Given : P(dog) = 0.45
If 3 households are selected randomly and with replacement and the ownership is mutually exclusive.
Then , probability that all three randomly selected households own a dog = [tex](0.45)^3=0.091125[/tex]
Hence, required probability = 0.091125
The probability that all three randomly selected households own a dog is
0.091125.
Given that,
Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird.Three households are selected randomly and with replacement and the ownership is mutually exclusive.Based on the above information, the calculation is as follows:
[tex]= 0.45^3[/tex]
= 0.091125
Learn more: brainly.com/question/17429689
A baker has 12 pounds of almonds. She puts them in a bag so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 ÷ 6. How do you think Clare and Tyler thought about 12 divided 6? Explain what each diagram and each part of each equation (especially the missing number) of might mean in the context of the bags of almonds.
Answer:
12 is how many pound of almonds there are. 6 is how many bags. 2 is how many almons there are in one bag for Tyler. For Clare is 12 almonds when there are 2 bags and there are 6 almonds in each bag.
Step-by-step explanation:
For Clare there is 12 almonds, there are 2 bags and there are 6 almonds in each bag.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
We are given that baker has 12 pounds of almonds.
Since Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 ÷ 6.
12 is the pound of almonds there and 6 is the bags.
We conclude that 2 is how many almonds there are in one bag for Tyler.
For Clare is 12 almonds, when there are 2 bags and there are 6 almonds in each bag.
Learn more about division here:
https://brainly.com/question/26411682
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What transformation has occurred
Answer:
Step-by-step explanation:
distributive
how to do 15 1/2 - 2 1/10 how to do it
First, you need to make the fractions have the same denominator:
15 1/2 ---> 15 + (1/2 x 5) = 15 5/10
2 1/10 ---> 2 1/10
Then you need to subtract them from each other:
15 5/10
- 2 1/10 (or) 15 5/10 - 2 1/10 = 13 4/10
13 4/10
This gets the answer: 13 4/10
Please help (8th grade math)
Slope=rise/run
y2-y1/x2-x1
Take any two co-ordinates
2-(-1)/-3-1
2+1/-3-1
3/-4
Write an expression to represent Donovan's total score of one of his words contains six letters
Question:
Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.
Answer:
[tex]Total = 10w + 5 - 3t[/tex]
Step-by-step explanation:
Given
[tex]Points = 10[/tex]
[tex]Extra\ Point = 5[/tex]
[tex]Taken\ Away = 3[/tex]
Required
Represent as an expression
Represent the words with w
So, the total points for w words is:
[tex]w\ Points = 10*w[/tex]
[tex]w\ Points = 10w[/tex]
Also, he will earn the extra point because his 1 word contain 6 letters.
So, the new point is:
[tex]New\ Point = w\ Point + 1 * Extra\ Point[/tex]
[tex]New\ Point = 10w + 1 * 5[/tex]
[tex]New\ Point = 10w + 5[/tex]
Lastly, represent the number of tiles remaining with t.
3 points are taken away for 1 tiles left
3*t points will be taken away for t tiles left
So, Donovan total points is:
[tex]Total = 10w + 5 - 3 * t[/tex]
We subtracted because the points are taken away
[tex]Total = 10w + 5 - 3t[/tex]
One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply. 55 35 110 75
Answer:
75 an 35 YEE YEE.
Step-by-step explanation:
im pretty sure
(4x)° (5x+18)° 81° solve for x
Answer: If you see my picture and you will see my answer
Step-by-step explanation: Hope this help
Find the Total Surface Area of the following triangular prism:
Answer:
96km^3
Step-by-step explanation:
-(5y-6) + 4(3+5y) if y = 2
Answer:
48
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
TermsStep-by-step explanation:
Step 1: Define
-(5y - 6) + 4(3 + 5y)
y = 2
Step 2: Simplify
Distribute: -5y + 6 + 12 + 20yCombine like terms (y): 15y + 6 + 12Combine like terms (Z): 15y + 18Step 3: Evaluate
Substitute in y: 15(2) + 18Multiply: 30 + 18Add: 48pls help
2688 divided by 96
Answer: 28
Step-by-step explanation:
Answer: 28
Step-by-step explanation: 2688 / 96 = 28
A children’s pool contains 17,500 milliliters. How many liters are in the pool. Please help?!?!
Answer:
17.5 Liters
Step-by-step explanation:
I got it right on a test so I hope this helps you!
Answer:
17.5 l
Step-by-step explanation:
To determine the average price of hotel rooms in Atlanta, a sample of 49 hotels was selected and the sample mean price of hotel rooms, top enclose y is $120. The population standard deviation was found to be $16. What is the standard error of top enclose y
Answer:
Standard error of top enclose y = 2.29
Step-by-step explanation:
The formula for Standard error = σ/√n
σ is the population standard deviation = $16
n is random number of samples = 49 hotels
Hence,
Standard error = 16/√49
= 16/7
= 2.2857142857
Approximately = 2.29
Therefore, the Standard error of top enclose y = 2.29
d. You are running a 4500-foot race. How much farther
do you have to go after running 2000 feet?
Expression:
Answer:
2500 feet
Step-by-step explanation:
4500 minus 2000 = 2500
A mother otter spends 1/3 of each day feeding her baby. How many hours does the mother otter spend feeding her baby in 1 week?
If 25% of a number is 15, find 5% of that number?
Answer:
The answer is 3
Step-by-step explanation:
25% of 60 is 15 and 5% of 60 is 3
solve the question below
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]
A snail going full speed was taking 1/2 of a minute to move 1/2 of a centimeter at this rate how long would it take the snail to travel a centimeter?
Answer:
1 minute
Step-by-step explanation:
1/2 cm. times 2=1 cm.
1/2 minute times 2=1 minute
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
what do u need help with
Step-by-step explanation:
??
The triangle shown below has an area of 20 units.
Find the missing side.
8.
2
2
units
What is the solution to the system of equations?
5-
y=-2x+ 6
y=3x +1/
-5
Answer:
D. (1,4) this is the correct answer
I NEED HELP!
The area of a rectangle is 12a^2 - a - 6 square inches. The width is 4a - 3inches. What is the length. Show your work.
Answer:
The length of rectangle is (3a+2).
Help plz:)))I’ll mark u Brainliest
A submarine's position is -325 feet. If it descends 98 feet what is its new position?
Answer:
Answer is -483
Step-by-step explanation:
hope this helps
can some one help me
Answer: 2
Step-by-step explanation:
Answer:
You can bowl 3 games.
Step-by-step explanation:
so your starting amount is $9.25.
you must subtract 2.50 from 9.25 for the price of the bowling shoes, which equals 6.75.
then, you divide 6.75 by 2.25 (price of each game) and you get 3 as your answer.
hope this helped you :)
Faliha runs around a square field of side 70m, while Rameen runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
[tex]\huge\sf\green{Answer :- }[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :-Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, Faliha runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, Rameen runs 300m around a rectangular fieldBy comparing perimeters, Rameen runs more than Faliha
Distance runs more by rameen = Distance covered by rameen - distance covered by faliha
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, Rameen runs more around a rectangular field by 20m[tex]\huge\sf\fcolorbox{red}{pink}{ItzDevilGirl}[/tex]
If 7x + 6 = 27, then x = ?
Answer:
^^^^^^^ you got it right;)
x=3
Select Yes or No to indicate whether each value of x is a solution to the given equation.
31=x+1
Answer:
Yes for:
x = 30
Step-by-step explanation:
Since 31 = x+1
Simplifying, 1 is deducted from 31 to get 30
This gives the two sides of the equation as 30 = x
Therefore, x = 30
This is a simple equation. It can easily calculate the value of x given the value on the other side of the equation. Therefore, x is a dependent variable in this system of equation. And just like every system of equation, the simple equation problem requires that the two sides of the equation are always kept in balance or equilibrium.
What is the exponent rule of product of powers?
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.