Final answer:
The probability of flipping a coin six times and getting exactly three heads and three tails is calculated using the binomial formula and is found to be 31.25%.
Explanation:
The probability of flipping a coin six times and getting exactly three heads and three tails can be calculated using the binomial probability formula, which is P(x; n, p) = (n choose x) * p^x * (1-p)^(n-x), where 'n' is the number of trials, 'x' is the number of successes, and 'p' is the probability of success on any given trial.
In this instance, since we are flipping a fair coin, the probability 'p' of getting heads (success) on any single flip is 0.5. We want to find the likelihood of getting 'x' = 3 heads out of 'n' = 6 flips. Therefore, the equation becomes:
P(3; 6, 0.5) = (6 choose 3) * 0.5^3 * 0.5^(6-3)
The combination (6 choose 3) calculates the number of ways to choose 3 successes (heads) from 6 trials, which is 20. Plugging these values into the equation gives:
P(3; 6, 0.5) = 20 * (0.5^3) * (0.5^3) = 20 * (0.125) * (0.125) = 20 * 0.015625
This results in a probability of 0.3125, or 31.25%.
Therefore, the chance of flipping a coin six times and getting three heads and three tails is 31.25%.
What is a counterexample for the conjecture? Any number that is divisible by four is also divisible by eight
what is the value of x in the diagram
a.1/2
b.4/21
c.2
d.4
Answer:
2 so your answer would be C.
The circle has a diameter of 16 inches. What is the area of the circle?
Consider the system of equations. x – 3y = 9 1/5x - 2y = -1
Answer:
B
Step-by-step explanation:
write an expression that is equivalent to 5 cubed
Elliot buys a 5 pound package of ground beef for 12.50. At the same unit price, how much would 8 pounds of ground beef cost
NEED HELP ASAP PLEASE!
$10.00 divided by $1.49
You bought the meat for Saturdays cookout. A package of hot dogs cost $1.60 and a package of hamburgers cost $5. You bought a total of 8 packages of meat and you spent $23. How many packages of hamburger meat did you buy?
The number of hamburger meat he bought is 3.
How to find the number of hamburger meat bought?A package of hot dogs cost $1.60 and a package of hamburgers cost $5.
You bought a total of 8 packages of meat and you spent $23.
Therefore,
let
x = number of package of hot dogs
y = number of package of hamburger
Hence,
x + y = 8
1.60x + 5y = 23
multiply equation(i) by 5
5x + 5y = 40
1.60x + 5y = 23
Subtract equation(ii) from equation(i)
3.4x = 17
x = 17 / 3.4
x = 5
y = 8 - 5
y = 3
Therefore, the number of hamburger meat he bought is 3.
learn more on cost and number here: https://brainly.com/question/20594143
#SPJ1
5 is one-fourth of a number c.
The value of number c is 20
5 as one-fourth of a number c is represented using the following equation
[tex]5 = \frac 14 \times c[/tex]Multiply both sides of the above equation by 4
[tex]4\times 5 = \frac 14 \times c \times 4[/tex]Evaluate the products
[tex]20 = c[/tex]Rewrite the above equation as
[tex]c = 20[/tex]Hence, the value of number c is 20
Read more about equations at:
https://brainly.com/question/14323743
Describe the vector as an ordered pair. Round the coordinates to the nearest tenth. The diagram is not drawn to scale.
ANSWER
[tex]
\angle19.4,50.4 \: > [/tex]
EXPLANATION
The given vector has magnitude 54 units.
The vector is making an angle of 69° with the x-axis.
The horizontal component of the vector is
[tex] = 54 \cos(69) [/tex]
[tex] = 19.35[/tex]
To the nearest tenth, we have,
[tex] = 19.4[/tex]
The vertical component is
[tex] = 54 \sin(69 \degree) [/tex]
[tex] = 50.41[/tex]
[tex] = 50.4[/tex]
to the nearest tenth.
The required vector is
[tex]
\angle19.4,50.4 \: > [/tex]
The components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.
What is a vector?A vector is a quantity that has both magnitude and direction. It has two components a vertical component(Sine) and a horizontal component(Cosine). The component of a vector can be written as,
Vertical component, [tex]V_y = \vec V\ Sin(\theta)[/tex]
Horizontal component, [tex]V_x = \vec V\ Cos(\theta)[/tex]
We know that a vector can be divided into two components a horizontal component and a vertical component, therefore, the vector components can be written as,
[tex]V_y = \vec V Sin\theta\\\\V_y = 54\ Sin(69^o)\\\\V_y = 50.4133[/tex]
[tex]V_x = \vec V Cos\theta\\\\V_x = 54\ Cos(69^o)\\\\V_x = 19.3519[/tex]
Hence, the components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.
Learn more about Vectors:
https://brainly.com/question/13188123
Imagine that you are pouring cement into cinder blocks to build a very sturdy wall. Each cinder block is 1.3 feet long, 0.67 feet high, and 0.67 feet wide. If 1 bag of cement is equivalent to 5 cubic feet, what is the number of bags of cement that you will need to fill the entire wall? Show the work
To find out how many cement bags are needed, calculate the volume of one cinder block and see how many such blocks fit in a cement bag. Then, divide the total number of cinder blocks by the number of blocks one bag can fill and round up to the nearest whole number.
To determine the number of cement bags needed to fill a cinder block wall with the given measurements, first calculate the volume of one cinder block. Then, figure out how many cinder blocks fit into one bag of cement.
The volume of one cinder block is:
V = length × height × width
V = 1.3 ft × 0.67 ft × 0.67 ft
V [tex]\approx[/tex] 0.5809 cubic feet
Now, since one bag of cement is equivalent to 5 cubic feet, determine how many cinder blocks one bag can fill:
Number of blocks per bag = 5 cubic feet / 0.5809 cubic feet per block
Number of blocks per bag [tex]\approx[/tex] 8.61 blocks
We need the total number of cinder blocks for the entire wall. Assuming we know the total wall dimensions, let's say we have a total of 100 blocks (for example purposes).
Total number of bags = Total number of blocks / Number of blocks per bag
Total number of bags = 100 / 8.61
Total number of bags [tex]\approx[/tex] 11.62
Since you can't buy a fraction of a bag, you would need to round up to the next whole number, so you would need 12 bags of cement to fill the wall.
What is the solution to this equation?
3(4x + 3) = 2x - 5(3 - x) + 2
Given: segment AB || segment DE, C is the midpoint of segment DB. Prove: ΔACB ≅ ΔECD Fill in the missing reason for the proof. A) definition of midpoint B) vertical angles are congruent C) all right angles are congruent D) supplementary angles are congruent
Answer:
Given: Segment AB || segment DE, C is the midpoint of segment DB.
Prove: ΔA CB ≅ ΔE CD
Proof: In ΔA CB and ΔE CD
C is the Mid point of B D.
BC=C D→ definition of midpoint
∠A CB= ∠ EC D→→vertical angles are congruent
∠BAC=∠DEC→→[AB║DE,so alternate angles are equal]
→→ΔA CB ≅ ΔE CD[A AS or A SA]
Option B: vertical angles are congruent
Answer:
The answer is A) Definition of midpoint
Step-by-step explanation:
Answer B is wrong. I just did the test
The first class had a kids in it, the second had b kids in it, and the third class had c kids in it. Kids from all three classes were equally divided between two buses. How many kids were on each bus?
X^3-64=0
Solve the equation
Mama Mia restaurant used start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 646464 ounces making pasta.
How many pounds of mozzarella cheese did Mama Mia start with?
Frankie is practicing for a 5-kilometer race. His normal time is 31 minutes 21 seconds. Yesterday it took him only 29 minutes 38 seconds. How much faster was Frankie yesterday than his normal time?
Its Simple! 1 minute and 47 seconds! You gotta do 31 mins and 21 seconds - 29 mins and 38 seconds! Which give you a whooping 1 minute and 47 seconds! I hope i helped you!
The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?
Answer:
(6,7)
Step-by-step explanation:
The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5)
Since center is the mid point of two end points of diameter .
So, we will use mid point formula
[tex](x,y)=(4,6)[/tex]
[tex](x_1,y_1)=(2,5)[/tex]
Mid point formula : [tex]x =\frac{x_1+x_2}{2}[/tex] and [tex]y =\frac{y_1+y_2}{2}[/tex]
Substitute the values
[tex]4 =\frac{2+x_2}{2}[/tex] and [tex]6 =\frac{5+y_2}{2}[/tex]
[tex]8 =2+x_2[/tex] and [tex]12 =5+y_2[/tex]
[tex]6=x_2[/tex] and [tex]7=y_2[/tex]
Thus [tex](x_2,y_2)=(6,7)/tex]
Thus the other endpoint of the diameter is (6,7)
A cruise boat travels 48 miles Downstream in 2 hours and returns Upstream in 3 hours. Find the speed of the boat in still water and the rate of the Stream.
Final answer:
The speed of the cruise boat in still water is 20 mph and the rate of the stream is 4 mph.
Explanation:
The student is asking about a problem related to the rate of the boat in still water and the rate of the stream, given the times it takes to travel downstream and upstream. To solve this, we can use the following steps:
Let the speed of the boat in still water be b mph and the rate of the stream be s mph.Downstream, the effective speed is b + s and upstream it's b - s.Using the formula distance = speed imes time, we have two equations based on the given information: 48 miles = (b + s) imes 2 hours for downstream and 48 miles = (b - s) imes 3 hours for upstream.Solve the two equations simultaneously to find the values of b and s.Let's solve the equations:
48 = 2(b + s) => 24 = b + s48 = 3(b - s) => 16 = b - sAdding both equations:
24 + 16 = (b + s) + (b - s) => 40 = 2b => b = 20 mph (boat speed in still water)Subtracting the upstream equation from the downstream equation:24 - 16 = (b + s) - (b - s) => 8 = 2s => s = 4 mph (rate of the stream)Therefore, the speed of the boat in still water is 20 mph and the rate of the stream is 4 mph.
the ratio of cookies to glasses of milk is 3:1 if there are 25 glasses of milk how many cookies are there
In the Chang family's budget, 0.6% of the expenses are for internet service. What is the fraction of the family's expenses is for internet service? Write the fraction in the simplest form.
A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male.
a). 9/16
b). none
c). 1/2
d).6/11
e).3/4
HELPP today plzzz!!!
The probability that two student chosen at random is a male is 6/11.
What is the Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
Here, Class contains 3 females and 9 males it means total 12 students.
Probability for having 1st student male = 9/12 = 3/4
Probability for having 2nd student is also male = 8/11
Overall Probability = [tex]\frac{3}{4} X \frac{8}{11}[/tex]
= 6/11
Thus, the probability that two student chosen at random is a male is 6/11.
Learn more about Probability from:
https://brainly.com/question/11234923
#SPJ2
A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 130 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last box? Please explain how you get the answer
12 boxes are needed in all.
Last box will contain only 20 kernels.
Step-by-step explanation:Given is :
The popped corn is put into small popcorn boxes that each hold 130 popped kernels.
There are 1450 kernels in a pound of un popped popcorn.
If all the boxes are filled except for the last box, then how many boxes are needed?
Number of boxes = Total number of kernels/Number of kernel in each box
=> [tex]\frac{1450}{130}= 11.15[/tex]
Therefore, a total of 11+1 = 12 boxes are needed as 11.15 is more than 11.
And the last box will contain = [tex]1450-1430=20[/tex] kernels.
Therefore, the last box will have 20 kernels.
A square is ____ a parallelogram. always sometimes never submit
A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
in²
The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression. A. The initial number of bacteria is 57, and the growth rate is 3.1% per hour. B. The initial number of bacteria is 57, and the growth rate is 31% per hour. C. The initial number of bacteria is 131, and the growth rate is 5.7% per hour. D. The initial number of bacteria is 131, and the growth rate is 57% per hour.
Answer:
The answer on edgenuity for dividing fractions is -3 on the assignment good luck!
Step-by-step explanation:
I need help I would really thank wheeler answers this for me
Can you share 35 equally?
5a - {3b - 5[a - (b + -4a)]}