Answer:
473
Step-by-step explanation:
can someone please teach me this in an easier, less difficult way.
PLEASE
Answer:
[tex]36[/tex]
Step-by-step explanation:
The expression [tex]_nC_k[/tex] is used to denote the number of ways you can choose [tex]k[/tex] things from a set of [tex]n[/tex] things. It is equal to:
[tex]_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}[/tex]
In this case, [tex]n=9[/tex] and [tex]k=2[/tex], so:
[tex]\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}[/tex]
You can also think of it like this:
[tex]_9C_2[/tex] is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are [tex]9\cdot 8=72[/tex] permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is [tex]2![/tex]. Our answer is thus [tex]\frac{72}{2!}=\frac{72}{2}=\boxed{36}[/tex]
=========================================================
Explanation:
We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.
Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.
Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36
The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
Which graph represents the function f(x) = 5x + 3)?
4
4
3
2
1
2
1
-
1 2 3 4
-5-4-3-2-4
2+
-5-4-3-2-4
2
-3
4
2
1
54-3-2-1412
Answer:
the first one
Step-by-step explanation:
all created functional values must always be negative, because "absolute value" Shays creates only positive numbers, and then the "-" in front makes then sure we have only negative numbers.
that rules out the third and fourth answer option.
to decide between first and second answer, I choose to see, when the function should deliver 0 as functional value.
f(x) is 0, when x+3 is 0. and that is only possible for x=-3.
so, at x=-3, y=0.
and that is only true for the first answer option.
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
Why should a pool be filled 80% of its capacity?
Answer:
safety and quicker to drain for safty
Evaluate and reduce:
12 + (12)
Enter the number that belongs in the
green box.
[?]
Answer:
24
Step-by-step explanation:
12 + (12)
first do for the bracket
12 + 12
24
What is the area of a triangle whose sides are 15 cm, 8 cm and 19 cm?
help help help help help help
Answer:
A
Step-by-step explanation:
because the intercept on the y axis is 6
what is the range of this relation? {(0,5), (2,3), (1, -4), (-3, 3), (-1, -2)}
Answer:
The Answer is 5,3,-4,3,-2 because they are the points on the y axis
Step-by-step explanation:
the range = { -4, -2, 3, 5}
Find the median of the following data 8,6,10,12,14
Answer:
the amswe is 10........
Answer:
10
Step-by-step explanation:
Easiest is to cross off one from the beginning and end until you meet in the middle :D!
Ex:
8, 6, 10, 12, 14
6, 10, 12
10
what is the suppliment of70
Answer:
the supplement of angle 70∘ is 110∘. Two angles are called supplementary angles if their sum is 180 degrees.
Help down below please
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the shelf have a secret decoder ring and inside the other 23 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring
Answer:
0.2333 = 23.33% probability that both of them have the secret decoder ring
Step-by-step explanation:
The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
45 boxes, which means that [tex]N = 45[/tex]
22 have the secret decoder ring, which means that [tex]k = 22[/tex]
Two boxes, which means that [tex]n = 2[/tex]
What is the probability that both of them have the secret decoder ring?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333[/tex]
0.2333 = 23.33% probability that both of them have the secret decoder ring
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...
Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
Verify that (x + a)(x+b)(x+c) is factor of f(x)= x³ +(a+b+c)x²+(ab + ac + bc)x + abc.
Answer:
Step-by-step explanation:
[tex]LHS = \\\\=(x+a)(x+b)(x+c) \\\\=(x+a)(x^2 + cx + bx + bc)\\\\=x(x^2 +(b+c)x + bc) + a(x^2 + (b+c)x + bc)\\\\=x^3 + (b+c)x^2 + bcx+ ax^2 + (b+c)ax+ abc\\\\=x^3 + ax^2 + (b+c)x^2 + bcx + abx + acx + abc\\\\=x^3 + (a+b+c)x^2 + (ab+ac+bc)x+ abc\\\\= RHS[/tex]
Answer:
Explanation:
Hey there!
Please look explanation in picture. As all the factor gives us "0" while putting them in equation, it is verified that they are the factors of f(x).
Hope it helps!
Help please! No links!
Answer:
It is placed to the left of –2
Math help please show work
Answer:
the jam requires three qts of raspberry so that would be 12 cups and there are 2 cups to a pint so 6 pints I think
How many pages would same have finished in 126 minutes
A.18
B.13
C.24
D.42
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]
= [tex]\frac{6}{18}[/tex]
= [tex]\frac{1}{3}[/tex] pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= [tex]\frac{1}{3}\times 126[/tex]
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
Ayuda porfas!! Una floricola exporta 35 cajas grandes, cada una con 35 paquetes y cada paquete con 35 rosas. ¿Cuantas rosas exporta en total? El problema es de relacion de las potencias cubicas con volumenes.
Answer:
42875
Step-by-step explanation:
because I would have 35 roses in each package
35 x 35= 1225
1225 would be multiplied by the 35 boxes
1225 x 35 = 42875
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
solve the equation 4^y = 8
Answer:
y = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
4 = 2² and 8 = 2³ , then
[tex]4^{y}[/tex] = 8, can be written
[tex](2^2)^{y}[/tex] = 2³
[tex]2^{2y}[/tex] = 2³
Since bases on both sides are equal, both 2, then equate exponents
2y = 3 ( divide both sides by 2 )
y = [tex]\frac{3}{2}[/tex]
y = 1.5
Step-by-step explanation:
[tex] {4}^{y} = 8[/tex]
Take the logarithm of both sides and you will get
[tex] \log {4}^{y} = y \log4 = \log8[/tex]
or
[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
Confused on this one :)
Answer:
B
Step-by-step explanation:
What is the perimeter of the triangle? Units
Answer:
the area of triangle is the product of the base and height divided by 2
Step-by-step explanation:
follow me
Answer:
Perimeter=a+b+c
Step-by-step explanation:
As perimeter is sum of all sides so,
Let sides of triangle be a, b and c
Perimeter=a+b+c
Mark me as brainliest
Thanks
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
Is 3.02859 a ratio number
Answer:
no
Step-by-step explanation:
it is irrational.
