Answer:
56
Step-by-step explanation:
8C5 = 56
Answer:
8C5 = 56
Step-by-step explanation:
The formula for nCk is ...
nCk = n!/(k!(n-k)!)
Then the value of 8C5 is ...
8!/(5!(8-5)!) = 8·7·6/(3·2·1) = 8·7
8C5 = 56
_____
Additional comment
The larger of the denominator factorials will cancel most of the factors of the numerator. The remaining denominator factors can be factored from the remaining numerator values to simplify the problem of doing the math by hand. Most graphing calculators and all spreadsheets can compute this function for you.
[tex]\dfrac{8!}{5!\cdot3!}=\dfrac{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{(5\cdot4\cdot3\cdot2\cdot1)(3\cdot2\cdot1)}=\dfrac{8\cdot7\cdot6}{3\cdot2\cdot1}=\dfrac{8\cdot7\cdot6}{6}=8\cdot7[/tex]
(x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = ____________ 5. (2x + 6)(4x + 8) = _n
Answer:
o 1)
[tex](x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8[/tex]
__o__o___
o 2)
[tex](3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5[/tex]
__o__o___
o 3)
[tex](5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10[/tex]
__o__o__
o 4)
[tex](4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7[/tex]
__o__o___
o 5)
[tex](2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48[/tex]
1/3 of blank is 1/27 what is the blank?
Answer:
unknown number is [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
let x = unknown number
Therefore, [tex]\frac{1}{3} x=\frac{1}{27}[/tex]
Multiply both sides by 27: [tex]9x=1[/tex]
Divide both sides by 9: [tex]x=\frac{1}{9}[/tex]
how do you find Z-scores for 95% confidence interval and 92%
nine times a number y plus seven is equal to a number y . Write the word sentence as an equation.
PLZ HELP
Answer: 9y + 7 = y
Explanation:
The phrase, "nine times a number y" is "9y" in the form of an equation. When any term is by a number, they are meant to be multiplied together. So, "9y" means "9 times y".
The phrase, "plus seven" simply means to add seven.
The phrase, "equal to number y" is "= y" because "number y" refers to that term.
And so, all together, you get 9y + 7 = y.
(Brainliest would be appreciated)
I hope this helped!
Good luck <3
Player Aled a baseball league in runs batted in for the 2005 regular season. Player B, who came in second to player A, had 18 fewer runs batted in for the 2005 regula
season. Together, these two players brought home 232 runs during the 2005 regular season. How many runs batted in did player A and player Beach account for?
Player A had
runs and player B had
runs batted in for the 2005 regular season.
Answer:
A = 120
B = 102
Step-by-step explanation:
Assume A had x runs
So B had [tex]x-18[/tex] runs {the total runs is 222}
A + B = 222
2x = 240
x = 120
B: x - 18 = 120 - 18 = 102
Paper
1. Which of these lines pass a common point?
A. intersecting lines
B. parallel lines
C. line segment
D. perpendicular lines
Answer:
A. intersecting lines
Step-by-step explanation:
When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.
positive integers greater than -6 but less than +21
Step-by-step explanation:
Inequality to describe problem:
[tex] - 6 < x < 21[/tex]
x represents the unknown integer(s).
Integers are positive or negative numbers that don't have a fraction, or a decimal.
Positive integers that work in the inequality:
[tex] - 6 < 1< 21[/tex]
[tex] - 6 < 2 < 21[/tex]
[tex] - 6 < 3 < 21[/tex]
[tex] - 6 < 4 < 21[/tex]
[tex] - 6 < 5 < 21[/tex]
[tex] - 6 < 6 < 21[/tex]
[tex] - 6 < 7 < 21[/tex]
[tex] - 6 < 8 < 21[/tex]
[tex] - 6 < 9 < 21[/tex]
[tex] - 6 < 10< 21[/tex]
[tex] - 6 < 11 < 21[/tex]
[tex] - 6 < 12 < 21[/tex]
[tex] - 6 < 13 < 21[/tex]
[tex] - 6 < 14 < 21[/tex]
[tex] - 6 < 15 < 21[/tex]
[tex] - 6 < 16 < 21[/tex]
[tex] - 6 < 17 < 21[/tex]
[tex] - 6 < 18 < 21[/tex]
[tex] - 6 < 19 < 21[/tex]
[tex] - 6 < 20 < 21[/tex]
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
plsss help!!!!!!! #3 #4
Answer:
3) 162 ft² || 4) 38.25 mm²
Step-by-step explanation:
3)
area of triangle = 0.5 * base * height
= 0.5 * 27 * 12
= 162 ft²
4) area of triangle = 0.5 * base * height
= 0.5 * 8.5 * 9
= 38.25 mm²
Step-by-step explanation:
#3Area of triangle:
A = 1/2bh = 1/2*27*12 = 162 ft²#4Area of triangle:
A = 1/2bh = 1/2*8.5*9 = 38.25 mm²Joyce wakes up at 10 minutes after seven it takes her 40 minutes to get ready and walk to school what time does Joyce get to school
Answer:
It would be 7:50
Step-by-step explanation:
If she wakes up at 7:10 and it takes her 40 minutes, the end time would be 7:50
3/4x+6 3/4 = 6 - 1 1/2x?
find the measure of the exterior angle
Answer:
80
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:
30 + 4x + 2 = 8 + 6x add like terms
32 + 4x = 8 + 6x move like terms to the same side of the equation:
32 - 8 = 6x - 4x
24 = 2x divide both sides by 2
12 = x now to find the angle replace x with 12
8 + 6*12 = 80
can someone help me with this
Answer:
[tex]\left[\begin{array}{ccc}-6&10\\10&-10\end{array}\right][/tex]
Step-by-step explanation:
[tex]-2A=-2*\left[\begin{array}{ccc}3&-5\\-5&5\end{array}\right]=\left[\begin{array}{ccc}-6&10\\10&-10\end{array}\right][/tex]
Question is below, thank you!
[tex]2.7-2.9+3.1-3.3+3.5[/tex]
Answer:
3.1
Step-by-step explanation:
2.7 - 2.9 + 3.1 - 3.3 + 3.5
2.7 -2.9 - 3.3 + 3. 1 + 3.5 =
-3.5 + 6.6 = 3.1
A baker made 6 cupcakes. Four people want to share them equally. How many cupcakes will each person get?
Answer:
1 and a half cupcakes.
Step-by-step explanation:
6 divided by 4 is 1.5 or 1 1/2.
Answer:
1 1/2
Step-by-step explanation:
Since, the total number of cupcakes = 6
Hence, If there are 4 people,
And, all of them distribute the cupcake equally,
Then, the cupcake will each person get
= Total number of cupcake/Total number of people
= 6/4
= 1 1/2
[RevyBreeze]
Help me on this I will appreciate it.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{3x+2}{2} =13[/tex]
[tex]\frac{3x+2}{2}[/tex]× 2 [tex]= 13[/tex] × 2
[tex]3x+2 = 26[/tex]
-2 -2
=
3x = 24
[tex]\frac{3x}{3} =\frac{24}{3} \\x = 8[/tex]
Use the row of numbers shown below to generate 12 random numbers between 01 and 99.
48030 80740 17470 54504 86729 78513 51272 42093
The random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.
What are random numbers?It should be noted that random numbers simply means the numbers that can be chosen from a pool of unlimited numbers.
In this case, the random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.
Learn more about random numbers on:
https://brainly.com/question/987944
What is the volume of this sphere? Need help asap. Will Mark Brainliest if answered correctly .
Answer:
288
HOPE it helped
thankyou
Choose the equation of the line in slope-intercept form.
Perpendicular to the y-axis and has the point (-4,5).
A. y = -4
B. x = -4
C. y = 5
D. x = 5
Answer:
C) y = 5
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is perpendicular to the y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.
Therefore, y = (0)x + b
⇒ y = b
We are told that the line passes through point (-4, 5). Therefore, the y-intercept is 5.
So the equation of the line is: y = 5
What would potentially happen if you used the population z-score equation on sample data? a. the answer would be biased b. the answer would be averaged c. the answer would not be standardized d. the answer would always be correct
The sample data is the data extracted from the overall population
If you used the population z-score equation on sample data, then (c) the answer would not be standardized
How to determine the state of the answerTo determine a result in a statistical data, the following must be done:
Use the population z-score equation on population dataUse the sample z-score equation on sample dataAnything different from the above would result in a mismatch, and the answer would be non-standardized
Hence, the true statement is (c) the answer would not be standardized
Read more about sample and z-score at:
https://brainly.com/question/25800303
What is the area of this shape
Answer:
63
Step-by-step explanation:
Calculate the area of the rectangles separately. The bottom rectangle is [tex]6\cdot 8=48[/tex] [tex]\text{in}^2[/tex] and the top one is [tex]3\cdot 5=15[/tex] [tex]\text{in}^2[/tex]. Adding, the total area is 48 + 15 = 63 [tex]\text{in}^2[/tex].
When signing up for a new checking account, you answer "Yes" to receive overdraft protection. On this day, you have $10 in your account and go out and use your debit card to buy lunch for $12, a movie ticket for $12 and dinner for $15. What is likely to be the outcome resulting from these transactions?
Answer:
There are 4 students okay
After the transactions amount of money left in account is -$29. Therefore, option B is the correct answer.
What is savings account?A savings account is a bank account at a retail bank. Common features include a limited number of withdrawals, a lack of cheque and linked debit card facilities, limited transfer options and the inability to be overdrawn.
Given that, On this day, you have $10 in your account and go out and use your debit card to buy lunch for $12, a movie ticket for $12 and dinner for $15.
Here, amount drawn using debit card is
12+12+15=$39
Money left in the account = 10-39
= -$29
After the transactions amount of money left in account is -$29. Therefore, option B is the correct answer.
To learn more about the savings account visit:
https://brainly.com/question/3811440.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
When signing up for a new checking account, you answer "Yes" to receive overdraft protection. On this day, you have $10 in your account and go out and use your debit card to buy lunch for $12, a movie ticket for $12 and dinner for $15. What is likely to be the outcome resulting from these transactions?
Your account would be closedYou will likely be charged an overdraft feet one or more of the transactions and also will need to repay the bank for the amount overdrawn ($29).Since you requested overdraft protection, the bank will not allow you to overdrawn your account so your debit card will be denied.The bank will provide you five days to add funds to your account to cover the overdraft and no fees will be assessed.Peter jogs 33 miles in 27
minutes.
Find the unit rate in minutes per mile.
Answer:
82.63 miles/min
Step-by-step explanation:
Unit rate in minutes per mile = 2727/ 33
Unit rate in minutes per mile = 82.63 min
=》 Peter runs 1 mile in about 82.63 minutes (approx - 83 minutes).
Hope it helps ⚜
A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.
What is the ratio of out of state fans attending the game to local fans?
A 15/47
B 32/79
C 47/79
D 32/47
PLEASE HELP ME
22 thousands, 22 hundreds,
222 tens
Numbers can be represented using the place value system
The number 22 thousands, 22 hundreds, 222 tens represents 26420
How to calculate the numberThe number is given as:
22 thousands, 22 hundreds, 222 tens
Rewrite the number as:
22 thousands + 22 hundreds + 222 tens
Express the place values as figures
22 * 1000 + 22 * 100 + 222 * 10
Evaluate the product
22000 + 2200 + 2220
Evaluate the sum
26420
Hence, 22 thousands, 22 hundreds, 222 tens represents 26420
Read more about the place value at:
https://brainly.com/question/12386995
HELP SOS I NEED HELP
What is the measure of angle x
Answer:
111°
Step-by-step explanation:
Using the exterior angle theorem (exterior angle = sum of two interior angles that ARE NOT adjacent to the exterior angle), we can determine that...
x=75+36
x=111
which table of values represents a linear equation?
Answer:
the last one
Step-by-step explanation:
the last one goes up in a linear sequence(the same amount each time)
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 6 feet longer than
the second side. Find the length of each side.
Step-by-step explanation:
Let 1st side of triangle be x
so,
length of given side will be x, 2x, 6+x
we know that,
perimeter of triangle = 34
x+2x+(6+x)= 34
4x+6= 34
4x = 34-6
x= 28÷4
:x= 7
2x = 7*2= 14 ft
6+x = 6+7 = 13 ft
Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
Learn about more kilograms, grams and mass here
https://brainly.com/question/386356
#SPJ2