There are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.
To find the number of ways to divide 40 students into 8 discussion groups of 5 students each, we'll use a combination formula.
The number of ways to choose 5 students out of 40 for the first group is given by C(40, 5).
After choosing 5 students for the first group, there will be 35 students left for the second group.
The number of ways to choose 5 students out of these 35 for the second group is C(35, 5).
We continue this process until all 8 groups are formed.
The total number of ways to divide the students into groups is the product of the combinations for each group. So, the total number of ways is:
Total ways [tex]=^{40}C_5 \times ^{35}C_5 \times^{30}C_5 \times ^{25}C_5 \times ^{20}C_5 \times ^{15}C_5 \times ^{10}C_5 \times ^{5}C_5[/tex]
Total ways = 65800850944000
Hence, there are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.
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How do you write 1.8 x 10 to the power of 2 in standard form.
Answer:
It already is in standard form
1.8*10^2
Answer:
1.8 x 10²(Standard form) = 180 (Real Number)
How to write in standard form?
The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)
How do you write 1.8 × 10² in standard form?
Write the first number 1.Add a decimal point after it: 1.Now count the number of digits after 1. There are 2 digits.So, in standard form: 180 is 1.8 × 10²cual es el valor de la expression
7×3²+3×7+6
Answer:
90
Step-by-step explanation:
7 x (3x3) + (3x7) +6
(7 x 9) + 21+6
63 + 21 + 6
90
Question 1
What is the 11th multiple of 15?
Answer:
165
Step-by-step explanation:
15*11=165
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation:
please help asap 14 points
Answer:
can i friend you
Step-by-step explanation:
evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72
Answer:
2/3
Step-by-step explanation:
[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]
x + 5 > 7
it’s inequalities
Answer:
X>2
Step-by-step explanation:
X+5>7
X>2
×= 7+5=12
×=12
always add the the numbers and the letter is always the answer of what u have gotten.
if c= 2m + d ,Wich equation represents m
Answer:
m= (c-d)/2
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
do the math
The amount of W water used varies directly with the population N of people. City A has a population of 468,000 people and used 37.6 billion gallons of water we would expect City B to use if we know that it's population is 180,000.
Answer:
the anser is 36.6 gallos of weeding in the w
Step-by-step explanation:
Help with this one please
Answer:
(3x - 14) (2x - 7)
I hope this helps!
what is 2848448 X 39494948
Answer:
1.12499306E14
Step-by-step explanation:
i did the math
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place
1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)
Answer:
T = Time = 3 years
Step-by-step explanation:
1 = PRT;
1 = Simple Interest = 5040
P = Principal = 24,000
R = Rate = 0.07
T = Time (years) = ? Unknown variable
Making T subject of the formula
T = 1/PR
T = 5040/24,000 × 0.07
T = 5040/1680
T = 3 years
(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?
Answer:
Correct option: F.
Step-by-step explanation:
The slope of a line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.
For PR, use P=(-7,7) R=(-4,3). Now calculate the slope
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]
For RT, use R=(-4,3) (2,-5). Calculate the second slope:
[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]
If both slopes are equal, then:
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]
Correct option: F.
Which of the following pairs of numbers have a greatest common factor of 6?
Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.
Here, the GCFs are ...
A 6 and 3 --- 3
B 30 and 36 --- 6
C 24 and 48 --- 24
D 60 and 88 --- 4
E 18 and 66 --- 6
F 72 and 84 --- 12
_____
Additional detail on finding the GCF
You can factor numbers to see which factors are common:
60 = 2^2 × 3 × 5
88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88
You can use the Euclidean algorithm:
Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.
84/72 = 1 r 12
72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84
Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)
Simplify. Help:(
-7i•(-8i)
Answer:
I got - 56, I could be wrong though
Answer:
-56
Step-by-step explanation: multiply -7i (-8i)
Multiply -8 by -7 56ii
raise i to the power of 1
56(1 ii)
Use the power rule aman m+n to combine exponents
56i 1+1
Add 1and 1 2
56i^2
rewrite i^2 as -1
56;-1
multiply 56 by -1
-56
4(x + 1) = 4x + 4
The equation has infinite solutions.
A value of x that makes the equation true is
which when substituted into the
equation and simplified makes the equation turn into
Another value of a that makes the equation true is
which when substituted
into the equation and simplified makes the equation turn into
Answer:
the 4 can change to any nummber
Step-by-step explanation:
The following data points represent the number of slices of pizza that each person at Thorton's birthday
party ate.
Sort the data from least to greatest.
7
9
3
2
4
3
1
Find the median number of slices.
slices
Least Greatest
1, 2, 3, 3, 4, 7, 9
Median: 3
.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card
24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.
A) All red cards.
P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)
= 0.03125
B.) at least two red cards.
P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)
= 0.8125
C.) At most 2 red cards.
P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)
= 0.5
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A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750
Answer:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Step-by-step explanation:
Le x represents the set of new tires
Let y be the set of used tires
If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:
[tex]x+y = 80 ............ 1[/tex]
If they charge $325 for a set of new tires, the total amount charged for new tires will be:
[tex]325 \times x \\325x[/tex]
If they charge $50 for a set of used tires, the total amount charged for used tires will be:
[tex]50 \times y\\50y[/tex]
If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:
[tex]325x+50y = 6,750 .............. 2[/tex]
Hence the system of equations represents the situation is:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Answer:
x + y = 80
325x = -50y + 6,750
Step-by-step explanation:
Solve for x: 4/9 x + 36 = 1/3
Answer:
x = -321/4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
If x= 12 and y=3, what is the value of x-y²?
Answer:
3
Step-by-step explanation:
X=12 Y=3^2
Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3
Answer:
I believe the answer would be 3.
Step-by-step explanation:
I hope this helps
i’ll mark brainlest! pls help :(
Answer:
square root: [tex]\sqrt{61}[/tex]
decimal: 7.81
Step-by-step explanation:
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400
Answer:
Use the graph and table to answer the questions.
Which vehicle loses the most value each year?
Car
Which vehicle will lose all of its value first?
Car
If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?
Truck
Step-by-step explanation:
Answer:
car car truck
Step-by-step explanation:
Someone please answer this it’s due today I need help
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 2.5x + 3 - (x - 4)
open parentheis
3x - 5 = 2.5x + 3 - x + 4
3x - 5 = 1.5x + 7
subtract 1.5x from both sides of the equation
3x - 1.5x - 5 = 7
1.5x - 5 = 7
add 5 to both sides of the equation
1.5x = 7 + 5
1.5x = 12
divide both sides of the equation by 1.5
1.5x/1.5 = 12/1.5
x = 12/1.5
x = 8
4 x 12 = 6 x n.
4
6
8
12
Answer:
The answer is 8
Step-by-step explanation:
Because 4x12 is 48 and so is 6x8
Answer:
C. 8
Step-by-step explanation:
4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)
Multiply 4 ⋅ 12.
48 = 6n
Divide both sides by 6
n = 8
Hope I helped :)
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A rectangular room measuresn 11 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.98 foot
Total cost=$
Answer:
The answer is it will cost $64.68.
Step-by-step explanation:
It is (11 x 6)$0.98
the polynomial p(x) has factors of x-5 and x-8. Which must be correct ?
Answer:
Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?
Step-by-step explanation:
If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
