The probability that at least 1 number cube will show a number 8 or larger is 0.83.
What is a binomial distribution in probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is
[tex]n^C_xp^xq^{n - x}.[/tex]
Given, In a certain board game, a 12-sided number cube showing numbers 1 to 12 is rolled.
So, Numbers that are 8 or larger is 8, 9, 10, 11, 12.
Now, The probability(p) of getting a number 8 or larger P(X ≥ 8) = 5/12.
hence q = 1 - p = 7/12.
Therefore, If 4 such cubes rolled the probability that at least 1 number cube will show a number 8 or larger is,
P(X≥ 8) = [tex]^4C_1(\frac{5}{12})(\frac{7}{12})^4+^4C_2(\frac{5}{12})^2(\frac{7}{12})^2+^4C_3(\frac{5}{12}^3)(\frac{7}{12})^1+^4C_4(\frac{5}{12})^4(\frac{7}{12})^0[/tex].
P(X≥ 8) = 4(0.41×0.115) + 6(0.173×0.34) + 4(0.072×0.58) + 1(0.030×1).
P(X≥ 8) = 0.283 + 0.35 + 0.167 + 0.030.
P(X≥ 8) = 0.83 or 83% chance.
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Write an explicit formula, term of sequence HELP I DON’T UNDERSTAND here’s a picture:
and all my points
Answer:
aₙ = 5 + 10(n - 1)
Step-by-step explanation:
See photo...
Answer:
[tex]a_{n}[/tex] = 10n - 5
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 15 - 5 = 25 - 15 = 10
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 10 , then
[tex]a_{n}[/tex] = 5 + 10(n - 1) = 5 + 10n - 10 = 10n - 5
Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 5 vertical stripes, all of different colors.
How many possible flags can be created
The multiplicative inverse of 7^-2 is
1/7
1/7^2
7^2
7
Answer:
the answer is 1/7
Step-by-step explanation:
I hope it helps you
Complete the table.
Original Price = ? Percent of Discount = 80% Sale Price = $90
Answer:
List Price = $ 450.00
This image is a formula for the problem
find value of x!!! this is geometry
using pythagoras theorem if a = 3, b = 4 what is c?
3
4
5
6
3.6
Answer:
5
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]
[tex]y = 3x - 2 \\ y - 2 = x[/tex]
that's the problem
Answer:
The solution to the system of equations be:
x = 2, y = 4
Step-by-step explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4
It is in the picture Thanks :D
Answer and Step-by-step explanation:
P is less than -1 (P < -1) is the answer.
P on the line is shown to be in between -2 and -1. This means that P has to be greater than -2, and also be less than -1.
Less than -1 is an option, so that is the answer.
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Mary Beth needs a 90% on her final exam to get an A for the quarter. The exam has 80 questions. How many questions does Mary need to answer correctly in order for her to get an A?
Answer: 72
Step-by-step explanation:
From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.
The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:
= 90% × 80
= 90/100 × 80
= 72
She must get 72 to get a A.
Mary's rectangular table is 90cm and 100cm long. what is area,in cm2 of mary's table?
area is just length times width ! so u do 90 x 100 = 90,000cm^2 :)
Help me plzzzzzz
help me help me
Answer:
Step-by-step explanation it’s d
2х - Зу = 9
5x - Зу = 30
Answer:
(x, y) = (7, 5/3)
Step-by-step explanation:
2x - 3y = 9
5x - 3y = 30
(5x-3y) - (2x-3y) = 30 - 9
5x-3y - 2x +3y = 21
3x = 21
x = 7
So, substituting the value of x into the first equation, we get 2*7 - 3y = 9. Simplifing, we get,
14 - 3y = 9
-3y = -5
y = 5/3
A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical probabilities.
Answer:
You flipped it so good it landed on tails 2 times
Step-by-step explanation:
NEED HELP PLEASE 20 POINTS
Brian borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 9% . The total interest that he paid was $135 . How much money did he borrow?
Answer:
135/3 = 45
45/9 X 100 = 500
Brian borrowed $500
what will be the number of square units on each side of a square graph paper if the total number of square units is 256 ?
Answer:
Step-by-step explanation:
Let the number of units be a
As per the square it will a×a which is a²
A²=256
A=16
16 units each side
I Hope it help
Plz answer..........
Answer:
itsn't it 64 it says it there
Step-by-step explanation:
Answer:
8000 m³Step-by-step explanation:
Volume of the cube:
64 m³Its side length is:
∛64 = 4 mSide length of the new cube:
4m *5 = 20mVolume of the new cube:
20³ = 8000 m³4 pints, 3 cups = ____ fl oz.
Answer:
88
Step-by-step explanation:
4 pints = 8 cups
3 cups = 3 cups
8 cups + 3 cups = 11 cups
11 cups = 88 fl oz
Answer:
64 + 24 = 88 oz
Step-by-step explanation:
1 pint = 16 oz (4 x 16 = 64)
1 cup = 8 oz (3 x 8 =24)
In the figure below, lines and k are parallel
M21 = m28
m23 = m25
1/2
3/4
26 = m27
19
m24+ m26 = 180°
10
5/6
7/8
→K
m25+ m2g + m2 10 = 180°
Select all the equations that must be true.
180°
27 = m29 + m2 10
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The true statements of the angles of the parallel lines are
a) m∠1 = m∠8
b) m∠6 = m∠7
c) m∠4 + m∠6 = 180°
d) 180° - m∠7 = m∠9 + m∠10
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The true statements are
a) m∠1 = m∠8 ( alternate exterior angles )
b) m∠6 = m∠7 ( vertically opposite angles )
c) m∠4 + m∠6 = 180° ( co-interior angles are supplementary )
d) 180° - m∠7 = m∠9 + m∠10 ( triangle exterior angle theorem )
Hence , the angles of the parallel lines are solved
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X + 5x - 6 < 12 solve for inequality
Answer:
7
Step-by-step explanation:
x+5x<12
x+5x=12
12-5x
=7
7 divide by 1
=7
Please help me with this I will give brainliest to one of the two who has the best answer. Thank you!
5. George walks to a friend's house. He walks 750 meters North, then realizes
he walked too far. He turns around and walks 250 meters South. The entire
walk takes him 13 seconds. What is his speed per second?|
I
Answer:
76.9
Step-by-step explanation:
5= d/t = 1000m/135 =76.9
How many solutions exist for the given equation 12x + 1 = 3(4x + 1) -2
Answer:
All real numbers are solutions (hope that helps)
Step-by-step explanation:
12x+1=3(4x+1)−2
Step 1: Simplify both sides of the equation.
12x+1=3(4x+1)−2
12x+1=(3)(4x)+(3)(1)+−2(Distribute)
12x+1=12x+3+−2
12x+1=(12x)+(3+−2)(Combine Like Terms)
12x+1=12x+1
12x+1=12x+1
Step 2: Subtract 12x from both sides.
12x+1−12x=12x+1−12x
1=1
Step 3: Subtract 1 from both sides.
1−1=1−1
0=0
Which expression is equivalent to the given expression? Assume the denominator does not equal zero, OA 4 7y? Oc. Try OD 22 23
Answer:
answer is A) 2y⁴/x⁴
:-))
⚠️⚠️⚠️NO ONE HAS HELPED ME! PLEASE I Need HELP QUICK!⚠️⚠️⚠️ —complete the following punnett square, show the genotype produced by the previous question. assume the agouti rabbit is female. place your awnsers in their correct spots on the gird. The letters to be placed on the grid are- A a C Ca Aa AC aa. If you can’t see the picture the grid looks like tic-tac-toe.
Answer:
a | c| ac
A | Aa| Ac|
C| Ca| Cc|
AC| Aa| Ac
Step-by-step explanation:
I kinda confused myself because Ido how to type it out of box but I hope this helps a little, what you’re supposed to do is write the sides [_ first and then use the first of each one to combine
Fiona has $12. This summer, she is earning $10 for each lawn that she mows. Assume she
saves all of her money this summer.
Create a graph that represents the relationship between the number of lawns Fiona mows, 2,
and the total money she has, y.
Answer:
well you want to set it up in a way that it shows how many days she mowed a lawn and then multiply by 10 and after add 12
Step-by-step explanation:
hope this makes sense :)
Answer:
well you want to set it up in a way that it shows how many days she mowed a lawn and then multiply by 10 and after add 12
Step-by-step explanation: good luck
Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.
1 Mrs. Castro has 100 spoon and 80 forks if she put them in buckets what is the biggest number of spoon or forks that bucket will have
Answer:
10
Step-by-step explanation:
Here, we want to get the biggest number of spoon or forks that the bucket will have
What we have to do here is to simply find the greatest common factor of 100 and 80
Finding the greatest common factor of both will
give the biggest number of spoon or forks that the bucket will have
Mathematically, the greatest common factor of 80 and 100 is 10
If f(x) = x² + 1 then what is f(3)?
Answer:
f(3) = 9Step-by-step explanation:
given:
[tex]f(x)=x^2[/tex]
[tex]f(3)=3^2[/tex]
[tex]f(3)=9[/tex]
just insert the value in and you get your answer
Please I need help!!!!
Answer:
144g
Step-by-step explanation:
Make a ratio:
15:108
20:x
cross multiply
15x = 2160
x = 144
what is y=3/4x-2 in standard form
Answer:
Hi! The correct answer is 3x-4y=8
Step-by-step explanation: