Answer:
The expected number of markers that have the same color cap and marker is 3.
Step-by-step explanation:
Every marker has a [tex]\frac{1}{3}[/tex] chance to get the same color cap, because there are always 3 same caps, and 9 total caps. By linearity of expectation, the expected number of markers that have the same color cap and marker is equal to the sum of all marker's individual 'contribution' to the same color cap count. So the expected value is [tex]9 \cdot \frac{1}{3} = 3[/tex], precisely what we were after.
Answer:
3
Step-by-step explanation:
By running the following Python code, we can safely assume the answer to be 3:
---------------------
import random
def cap_throw():
cap_list = ['R', 'R', 'R', 'G', 'G', 'G', 'B', 'B', 'B']
random_cap_list = cap_list[:]
random.shuffle(random_cap_list)
counter = 0
for i in range(len((cap_list))):
if cap_list[i] == random_cap_list[i]:
counter += 1
return counter
results_list = []
for i in range(10 ** 6):
results_list.append(cap_throw())
print(sum(results_list) / len(results_list))
---------------------
Which gave 2.998795.
Label ABC with the following information.
BC = 61
m/A = 31°
Find AC.
A container can hold 25 pounds of beans. Right now there are 12.5 pound of beans. What is the percentage of beans in the container?
Answer:
Step-by-step explanation:
if the container holds 25 lBS, that represents 100%
if there are 12.5 lbs now in the container, that represents 50%
I need help!!! I don’t know what to do
Answer:
5km
Step-by-step explanation:
1/2xbxh
1/2x 2x5= 5
Answer:
5 km.
Step-by-step explanation:
1/2 times base times height.
1/2 times 5 times 2
= 5
Domain and range anyone?
Answer:
second one
Step-by-step explanation:
range is the y values
For what value of 'k will (x - 1) be a factor of 4x^3 +kx^2 - 7x - 10?
Answer:
k = 13
Step-by-step explanation:
If (x-1) is a factor, then f(1) = 0
4*1 + k*1 - 7*1 - 10 = 0
4 + k - 7 - 10 = 0
k - 13 = 0
k = 13
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system of equations has no solution.
Answer:
Step-by-step explanation:
A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations
y = 2x + 4
y = 2x
If you subtract the second equation from the first, you get
0 = 4
an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.
DO NOT ANSWER WITHOUT SHOWING YOUR WORK
2. A supermarket display consists of boxes of cereal. The bottom row has 33 boxes. Each row has five fewer boxes than the row below it. The display has six rows.
(a) Write and use a function to determine how many boxes are in the top row. Show your work.
(b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work
Answer:
a. f(x)=58-5(x-1); there are 58 boxes in the top row.
b. 273 boxes
Step-by-step explanation:
There are 33 boxes at the bottom row, and there are 5 fewer boxes than the row before it meaning that each row above the bottom row has five more boxes than the one below it.
Basically:
bottom row (with 33 boxes) -->5th row-->4th row-->3rd row-->2nd row-->1st row
each arrow adds five boxes, so if you add 5 boxes for each arrow, there is a total of 58 boxes on the 1st row.
check:
2nd row:
f(x)=58-5(x-1)
f(2)=58-5(2-1)
f(2)=58-5(1)
f(2)=58-5
f(2)=53
and we know that 58 (first row)-5=53 (second row; has to have five fewer boxes) so the function works.
now we can use the formula to find the other row values:
3rd row:
f(x)=58-5(x-1)
f(3)=58-5(3-1)
f(3)=58-5(2)
f(3)=58-10
f(3)=48
4th row:
f(x)=58-5(x-1)
f(4)=58-5(4-1)
f(4)=58-5(3)
f(4)=58-15
f(4)=43
5th row:
f(x)=58-5(x-1)
f(5)=58-5(5-1)
f(5)=58-5(4)
f(5)=58-20
f(5)=38
so, we have the row values from top to bottom:
58, 53, 48, 43, 38, 33
now we just have to add them up, giving us 273 boxes in total.
pls i need help with this equation good points, will mark. brainliest
Answer:
120 tiles 50 + 30 + 40 = 120 tiles
Step-by-step explanation:
Count the tiles
Hope this helped
what is this property 25x0=0
Answer:
zero property
Step-by-step explanation:
if it equals zero its zero property
18 = r/3 what is r???
Answer:
54
Step-by-step explanation:
r/3 = 18
r/3 * 3 = 18 * 3
r = 54
Answer:
54
Step-by-step explanation:
multiplication is the opposite of division so you can do 18*3=54 and you can check that by dividing 54 and 3 and the answer is 18
What are the first 3 terms in. t(n)=-2n+7
Answer:
The first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
Step-by-step explanation:
Given the sequence
[tex]t(n)=-2n+7[/tex]
Here [tex]n[/tex] represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
[tex]t(n)=-2n+7[/tex]
[tex]t(1)=-2(1)+7[/tex]
[tex]t(1)=-2+7[/tex]
[tex]t(1) = 5[/tex]
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
[tex]t(n)=-2n+7[/tex]
[tex]t(2) = -2(2) + 7[/tex]
[tex]t(2) = -4 + 7[/tex]
[tex]t(2) = 3[/tex]
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
[tex]t(n)=-2n+7[/tex]
[tex]t(3) = -2(3) + 7[/tex]
[tex]t(3) = -6 + 7[/tex]
[tex]t(3) = 1[/tex]
Therefore, the first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
How many terms are in the expression 6y-7+4y-2a
Answer: 3
Step-by-step explanation:
6y, 4y, and 2a
1)) Tammy treated her sister to lunch while visiting her in Somerville. Their lunch cost $350,
and the sales tax in Somerville is 4%. If Tammy left a 20% tip on the $350, how much in
total did she pay?
Answer:
the other amount of cash she pays equals to 24 percent so times 350 by 1.24 which equals to $434
Answer:434
Step-by-step explanation:
Total price with $350
Sales tax 4% = $14
And tip 20%= $70
Total paid= $434
Connie Hargrave's tree fell in the last storm and damaged the car of
neighbor, Andy Collin. Connie did not have insurance that covered this type of accident and has not paid Andy for the damage. Andy decides to sue Connie in court. Which type of lawsuit will this be?
A. civil
B. military
C. criminal
D. constitutional
Put them in order :2.34,-3,5,2
Answer:
-3,2,2,5,34
Step-by-step explanation:
Answer:-3,2,2,5,34
Step-by-step explanation:
The sum of the first n consecutive even numbers can be found using S=n^2+n where n ≥ 2. What is the value of n when the sum is 210?
Answer:
n = 14Step-by-step explanation:
Given the sum of the first n consecutive even numbers expressed as
S=n^2+n where n ≥ 2.
If S = 210, then;
210 = n² + n
n² + n - 210 = 0
Factorize
n = -1±√1²-4(-210)/2
n = -1±√1+840/2
n = -1±√841/2
n = -1±29/2
n = -1+29/2 and -1-29/2
n = 28/2 and -30/2
n = 14 and -15
Since n ≥ 2, hence the required value of n is 14
Pls help branliest 100 points if right question on the photo
Answer:
You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!
Answer:
You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!
THANKS
0
In a fundraiser, Mrs. Smith pledges $1 for each mile walked . If Sam walks 20 miles how much will Mrs. Smith donate?
What is the equation of the linear function represented by the table?
y=-X+9
y=-x+ 13
Y = X+ 13
Y = X+9
Answer:
Step-by-step explanation:
I am sorry but please give detailed question where is the table
How does rewriting the mixed numbers as whole numbers and fractions make it easier to multiply?
Answer:
A
Step-by-step explanation:
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Solve for
9(x + 1) = 25+x
Answer:
2
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x
9x-x=25-9
8x=16
x=16/8
x=2
for each ordered pair, determine wether it is a solution to 7x - 2y = 13
please help me !!
Answer:
no
no
yes
yes
Step-by-step explanation:
To solve this you would just plug in the numbers
The first one:
7(-5)-2(0)=13
-35=13
therefore the answer is no
Do the same with all the others
Answer:
The first two are No and the last two are Yes.
Step-by-step explanation:
questions in this section.
1. State whether each of the following statements is TRUE or FALSE on the line provided
a.
All whole numbers are integers.
b. The number 2 is the only prime number that is an even number.
C.
An odd number can be a prime number.
d. The number 1.5 is an integer.
e. Zero is NOT a natural number.
Answer:
a true
b true
c true
d false
e true
9.Find the side of a cube whose surface area is 5400cmsquare.
Answer:
a=square root of a/6 = square root of 5600/6 = 30
i would like to have my brainliest naw, thx
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6
Answer:
Average ROC = 0
Step-by-step explanation:
Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)
a = -3 f(a) = 10 ... x=-3, y=10
b = 6 f(b) = 10 ... x'=6, y'=10
Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0
A car moving on a highway covers the first 400.0 m in 18.0s and then covers the next 250.0 m in 24.0 s.
What is the average speed of the car?
Answer: 15.48 m/s
Step-by-step explanation:
The following information can be gotten from the question:
Total distance covered by the car will be:
= 400m + 250m
= 650m
Total time taken = 18.0s + 24.0s = 42s
Average speed = Distance/Time
= 650/42
= 15.48 m/s
Pls help!! Zoom in to see better
Answer:
4×[tex]10^{12}[/tex]
Step-by-step explanation:
My calculator
Just some 7th grade math so help -_-
Answer:
5.95
Step-by-step explanation:
an increase of 70% on to 100% = 170% - 1.7 multiply the price by 1.7 = 3.50 x 1.7 = 5.95 btw i am on 7 th grade too
please help me on this !!! :))) ill give brainiest