Answer:
0.017578 or 1.76%
Step-by-step explanation:
The probability of getting at least 12 heads is 0.01757.
What is Binomial Distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1- p), depending on the outcome's boolean value.
Given a coin is tossed 15 times,
to find the probability of getting 12 heads,
P(X ≥ 12) Probability of at least 12 successes
At least 12 successes include X-values of
X=12, 13, 14, 15
To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,
P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
p(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 15
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ + ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴
+ ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵
P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045 + .0000030
P(X ≥ 12) = 0.01757
Hence probability is 0.01757.
Learn more about Binomial Distribution;
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the equation y=36x represents the relationship between x the number of yards and y the number of inches
which ordered pairs represent the number of yards and the number of inches in the given equation? choose all that apply.
Answer: (2,72) (5,189
Step-by-step explanation:
I did the I Ready
GIVING BRIANLIEST
Find the coefficient of the given term in the specified row of Pascal's triangle.
row7, term 3
Answer:
28
Step-by-step explanation:
7C2
The 3rd term of 7th row of the Pascals triangle is 21.
We have a Pascal's triangle.
We have to determine the 3rd term of 7th row of this triangle.
What is Pascal's triangle ?A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -
[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]
If we have to find the element or term at position - m in row number - n, than the element will be -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
We have - n = 7 and m = 3
[7] C [2] = [6] C [1] + [6] C [2]
[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]
Hence, the 3rd term of 7th row of the Pascals triangle is 21.
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Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.
Pls help me jenejfnnfnwndndbenjwjdndnwkjs
Answer:
I have no clue
Step-by-step explanation:
HAHA
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
Which is the correct order of the numbers from least to greatest? -4/5, 3, 0.4, -1, -5/4
Answer:
-5/4, -1, -4/5, 0.4, 3
Step-by-step explanation:
Answer:
-4/5 -1 -5/4 .4 3
Step-by-step explanation:
can you guys please help me
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
r=26 in. find the diameter.
Answer:
see
Step-by-step explanation:
diameter=2×pi×r
diameter. 2.22/7.r
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
how much money does it cost for one person??
A circle had a radius 20 cm. What is the area?
Answer:
use formula πr^2
Step-by-step explanation:
the area is 1257.14cm^2
what is the variable in the expression 3y+8
ntify each function if it is a polynon
1) P(x) = 5x +5x2+7
P(x) = 5x² + 5x + 7
"This is a polynomial because it is a 2nd degree trinomial or quadratic".
"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answer:
c
Step-by-step explanation:
sequence
60,45, 33.75 ....
Evaluate the expression 4x+3-x for
x=8
PLEASE HELP ME!
Answer:
x + 3 =8 x 4 =32 so your answer is 32 sorry for he wait
Step-by-step explanation:
x =5
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
pls help
Which graph represents a linear function?
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))
Answer:
1300
Step-by-step explanation:
60% of the 7,000 runners in a marathon were women. How many women ran the marathon?
Answer:
4200
Step-by-step explanation:
7000 x 0.60 = 4200
The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.
Answer:
The other dimension is x=4 cm
Step-by-step explanation:
Surface Area of a Rectangular Prism
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
what 30 x 23 30 x 23
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
What is the slope of a line perpendicular to the line whose equation is x + 2y =8.
Fully reduce your answer.
Answer:
2
Step-by-step explanation:
First, put the line into y = mx + b form to find the slope (m)
x + 2y = 8
Subtract x from both sides
2y = -x + 8
Divide each side by 2
y = -1/2x + 4
So, the slope of this line is -1/2
Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.
Write your answer with no spaces and any fraction with “/“
Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]
Now we plug in numbers accordingly:
[tex]\frac{0 - 1}{0 - 2}[/tex]
Simplify:
[tex]\frac{-1}{-2} \\[/tex]
Simplify:
[tex]\frac{1}{2}[/tex]
Let me know if you have any questions
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
the figure shows the dimension of a city park in feet what is the area of the park?
A 968 ft2
B 1,088 ft2
c 1,208 ft2
d 73,084
i need help on this one
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices
Answer:
33.333333% (the 3 goes on forever)
A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6