Answer: 210
Step-by-step explanation:
! means, for example, 6! = 6 * 5* 4 * 3 * 2 * 1
Given:
[tex]\displaystyle \frac{10!}{6!(12-8)!}[/tex]
Subtract:
[tex]\displaystyle \frac{10!}{6!(4)!}[/tex]
Distribute:
[tex]\displaystyle \frac{10!}{6!*4!}[/tex]
Expand:
[tex]\displaystyle \frac{10 * 9 * 8 * 7 * 6 * 5* 4 * 3 * 2 * 1}{(6 * 5* 4 * 3 * 2 * 1)*(4 * 3 * 2 * 1)}[/tex]
Cancel out (6*5*4*3*2*1) in both the top and bottom as they equal 1:
[tex]\displaystyle \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]
Multiply:
[tex]\displaystyle \frac{5,040 }{24}[/tex]
Divide:
210
Roll of the Dice Are the chances of rolling a 3 with one die the same as the chances of rolling a total of 6 with two dice? If not, which has the higher probability ?
Answer:
The probability is the same.
Step-by-step explanation:
The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.
Janelle babysat for 6 hours at an hourly rate. After she got paid she spent $12 at Walmart. She came home with $36. How much money did she make per hour?
Please explain with steps :)
Answer:
$8/hour
Step-by-step explanation:
We will start by finding how much money she made before spending it. The amount of money she took home added to how much money she spent will give us this. ([tex]12 + 36 = 48[/tex]). This means she made $48 before spending it.
Now we can solve for her wage. Let [tex]x[/tex] be her hourly wage
(the 6 is the number of hours she worked, this multiplied by her wage should give us 48)
[tex]6x = 48\\x = 8[/tex]
This means that she made $8/hour.
That is the answer
- Kan Academy Advance
what is 3/7 divided by 3/7 equal to and simplified
Answer:
1
Step-by-step explanation:
3/7 divided by 3/7 is nothing but
3/7 times 7/3 because of the keep, change, flip rule.
3/7 times 7/3 is nothing but 21/21
21/21 simplifies to 1/1
1/1 = 1
give brainliest please!
hope this helps :)
Solve PV = nRT for R.
Answer:
[tex] R = \dfrac{PV}{nT} [/tex]
Step-by-step explanation:
[tex] PV = nRT [/tex]
[tex] nRT = PV [/tex]
[tex] R = \dfrac{PV}{nT} [/tex]
Write the square or cube for each number.
1) 19³=
2) 16² =
3) 15³ =
4) 20² =____
5) 10³ =_
Answer:
1) 19³=6859
2) 16² =256
3) 15³ =3375
4) 20² =400
5) 10³ =1000
Step-by-step explanation:
using your calculator to (square = number times itself) or (cube = number times itself times itself again)
find all real numbers x such that
6x-21>5
[tex]~~~~~~6x-21 > 5\\\\\implies 6x > 5+21\\\\\implies 6x > 26\\\\\implies x > \dfrac{26}6\\ \\\implies x > \dfrac{13}{3}\\[/tex]
which set of coordinates will provide the vertices for 90 degree clockwise rotation of ABC around point C?
A carpenter has a board that is 8 feet long. He cuts off 2 pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left? IM SO SORRY THIS QUESTION ISN’T MULTIPLE CHOICE PLS FORGIVE ME
Answer:
2 1/6
Step-by-step explanation:
The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.
Hope this helps!
Which of the following shows how to calculate the probability of randomly selecting a cat or dog?
P(cat) + P(dog)
P(cat) − P(dog)
P(cat) · P(dog)
P(cat) ÷ P(dog)
The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive
Probability of mutually exclusive eventsIf we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)
Probability of randomly selecting a cat or dog
Let
P(cat) = probability of selecting a cat and P(dog) = probability of selecting a dogSo, probability of randomly selecting a cat or dog is
P(cat or dog) = P(cat) + P(dog)
So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
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What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
9 yards
Step-by-step explanation:
Length of missing leg = √ Hypotenuse² - Adjacent side²
b = [tex]\sqrt{15^{2} - 12^{2} } \\\sqrt{225 - 144} \\\sqrt{81} \\[/tex]
b = 9 yd
The volume of a cone is 736.853 cubic
inches. The height is 11 inches. Calculate the
diameter of the cone.
diameter of the cone=15.8inches
Simplify the following.
a) 3×a×2× b
Answer:
first multiply numbrrs3*2=6ab
What is the surface area of this cylinder? Use 3.14 and round your answer to the nearest hundredth. 8 ft 15 ft
The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The surface area of the cylinder:
[tex]\rm A =2\pi rh+2\pi r^2[/tex]
r = 8 ft
h = 15 ft
[tex]\rm A =2\pi (8)(15)+2\pi (8)^2[/tex]
A = 1155.52 square ft
Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
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If you replace the outlier of 113°F with 100°F, what happens to the range? Why do you think this occurs?
If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees.
What is the outlier about?In the case above, by replace the outlier of 113°F with 100°F, IQR will not change due to the fact that the q1 and q3 values are not influence by the outlier.
But the range will change from 42 degrees to 29 due to the fact that
113 - 71 = 42 and
100 - 71 = 29
Therefore, If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees .
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Find the areas of the trapezoids.
Answer:
7.5 sq. un
Step-by-step explanation:
Hello!
The height is 3 units, the base is 4 units, and the other base is 1 unit.
Using the trapezoid area formula, [tex]A = \frac12(b_1+b_2)h[/tex], we can plug the values in and solve.
Solve:
[tex]A = \frac12(b_1+b_2)h[/tex][tex]A = \frac12(1 + 4)3[/tex][tex]A = \frac12(5)(3)[/tex][tex]A = 2.5(3)[/tex][tex]A = 7.5[/tex]The area is 7.5 sq. un
What is the area of this rectangle? 10units 20units 24units 48 units
Answer:
24 units ^2
Step-by-step explanation:
The base runs from 3 to 7 so the base is 7-3 = 4 units
The height runs from 2 to 8 so the height is 8-2 = 6 units
The area is
A = bh
= 6*4 = 24 units ^2
What is the first step in constructing an incenter to triangle xyz?
The first step is constructing an angle bisector for one of the angles of the triangle.
We have to find the first step for the constructing an inscribed circle
What is the incenter triangle?
The incenter of a triangle is the point from which the distances to the sides are equal, in this point we can start to construct the inscribed circle in the triangle because the incenter would also be the center of the circumference.
Therefore the first step in constructing an angle bisector for one of the angles of the triangle.
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Answer:
Construct the angle bisector of angle Y.
Step-by-step explanation:
I just took the test and got the answer correct :)
John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his first exam, he got eight hours of sleep and scored 70 on the exam. To the nearest tenth, how many hours does John believe he must sleep the night before his second exam so that the average of his two exam scores is an 80?
Answer:
Step-by-step explanation:
ohn will need to sleep for 10.3 hours before his second exam so that the
he average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get an average of 80
70+ x = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
which ordered pair is a solution of y= 2x + 5?
Answer: (-2, 1)
Step-by-step explanation:
The 1st value in a pair is x, the 2nd is y.
▪︎ (-2, 1)
1 = 2(-2)+5
1 = -4+5
1 = 1 ✅
▪︎ (-1, 4)
4 = 2(-1)+5
4 = -2 + 5
4 = 3❌
▪︎ (1, 6)
6 = 2*1+5
6 = 2 + 5
6 = 7❌
▪︎ (3, 10)
10 = 2*3+5
10 = 6 + 5
10 = 11❌
is 0.9999 really the same as 1
Answer:
No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.
Answer:
no the value tends to go to 1 but it is not exactly one.
What is the speed in m/s of a car that travels 30 km in 20 m?
Answer:
25m/s
Step-by-step explanation:
distance = 30km = 30× 1000m
time = 20 min = 20 × 60 = 1200sec
we know,
speed = distance/time taken
= 30000/1200
= 25m/s
A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table?
2 ft by 6
Dure hope this helps you
Answer: 2ft by 6
hope this helps
Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation
Answer:
M =290
Step-by-step explanation:
Subtraction of numbers
Write each expression as a single number:
a)2°+2raise to the power -1 + 2 raise to the power -2
b)10 raise to the power -1 +10°+10 raise to the power 3
Please explain it all I can’t understand it
Answer:
B) 2º+2=4raise ^that 4 to the power of -1+2 like this
4-1+2=5raise ^to the power -2 like this
5-2=3 <Awnser
What is the surface area of a half sphere with a diameter of 16?
Answer:
603.185789 m2
Step-by-step explanation:
603.185789 m2 or 192 π m2
formula is [tex]3\pi r^2[/tex]:
3 x pi x 8^2 = 603.185789489
Graph the inequality y ≥ 3x + 3.
Answer:
Step-by-step explanation:
You can graph the inequality by...
A sample of 50 11th graders were asked to select a favorite pattern out of 6 Choices the following display shows what their favorite color patterns were the counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who like pink polka dots is 14.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The complete question is:
A sample of 50 11th graders was asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were.
blue on gray 4green 9pink polka dots?purple 11red and orange stripes 9yellow 3The counts have been recorded in the accompanying table according to pattern and the number of students who selected the pattern. what is the missing value in the table?
Given the total number of students in the sample was 50, therefore, the number of students who like pink polka dots is:
Number of students = 50 - (4+9+11+9+3)
= 14
Hence, the number of students who like pink polka dots is 14.
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Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)
The number of games Ben predict Orioles will win this year is 64 games
How to find percentage?Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
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i need help it’s due at the end of class
An aquarium holds 11.1 cubic feet of water and is 2.8 feet long and is 1.2 feet wide.what is the depth?
Step-by-step explanation:
the volume of any cube or prism is
length × width × height (or depth)
11.1 = 2.8 × 1.2 × depth
depth = 11.1 / (2.8 × 1.2) = 11.1 / 3.36 = 3.303571429 ft
≈ 3.3 ft