Danny flips four well-balanced coins. What are the odds that two of the coins will land ‘heads’ up?

Answers

Answer 1

Answer:

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

Four well-balanced coins.

This means that [tex]n = 4, p = 0.5[/tex]

What are the odds that two of the coins will land ‘heads’ up?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

0.375 = 37.5% probability that two of the coins will land ‘heads’ up


Related Questions

An angle measured 140 more than the measure of its supplementary angle. What is the measure of each angle ?

Answers

Answer:

Supplementary angle equals 180°  

Complementary angle equals 360°

Step-by-step explanation:

Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.

Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change

Answers

Answer:

40%

hope this helped :)

40 percent is the answer


Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?


Answers

Answer:

1/3

Step-by-step explanation:

3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3

Pls help ill give brainliest

Answers

it is located in quadrant 2, as it is originally in the third quadrant and is flipped over the x axis.

What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624

Answers

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

what linear equation is represented by the table

0 -2
1 2
2 6
3 10

Answers

I think it is y=4x-2.

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

1 /13

Answer:

1/13???

Step-by-step explanation:

Find the tangent of angel U.

Answers

Answer:

C

trust me that is my answer

C, 8/15

Tangent is opposite over adjacent. Opposite of angle U is 8 and adjacent is 15.

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

------------------

40 + 30 + 24 = 94

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

Which of the following exponential functions represents the graph below?

Answers

Answer:

d

Step-by-step explanation:

I think the answer is d

Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?

Answers

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

h ft
5 ft
30 ft
6 ft

A. 20
B.25
C.23
D.30

Please help!!

Answers

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1​

Answers

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.

Answers

6.5x+50>_234
C=#of hrs (>_ is the greater than equal to symbol btw)

6.5x+50>_234
-50. -50
6.5x/6.5>_184/6.5

x>_ 24 hrs


Answer:

H = (234 - 50)/6.50

H = 29 hours

Step-by-step explanation:

H = hours to work

H = (234 - 50)/6.50

H = 28.31 hours

The price of the stereo was $96 the tax rate was 6% what was the tax

Answers

Answer:

101.76

Step-by-step explanation:

Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation

Answers

Answer:

2, 1 and -3

Step-by-step explanation:

Given the quadratic expression

x^2+2x = 3

Write in standard format

x^2+2x-3 = 0

Get the value of a, b and c

The standard form is ax^2+bx+c = 0

ax^2 = x^2

a = 1

bx = 2x

b = 2

c = -3

Substitute into the general formula

x = -b±√b²-4ac/2a

x = -2±√(2)² - 4(1)(-3)/2(1)

The correct values are the values in bold format

Find the area of the figure to the nearest tenth

A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.

Answers

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)

Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)












































































































help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp

Answers

Answer:

uhm please show a graph

Step-by-step explanation:

could you show the graph?

I need some help with this

Answers

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.

Answers

4y+5. Btw it’s a linear equation, the y intercept is 5 and the slope is 4

List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows

Answers

Answer:

{1,2,4,8,16,32,64}

Step-by-step explanation:

1×64=64

2×32=64

4×16=64

|X+1|+|x-2|=3. Can you please help me?

Answers

Answer:

I can answer if you make me brainliest

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?

Answers

Answer:

18 OZ is better$1.75 to buy

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

Which number line shows the solution to the inequality -4x + 3 < -5

Answers

Answer:x>2

Step-by-step explanation:

4x/4>8/4

I need help if right I will mark you

Answers

Answer:

B

Step-by-step explanation:

10. Maddy has saved $55 from birthday money. She is earning $25 per week for babysitting her neighbors, which
she also saves. Which function can be used to nd a, the amount of money Maddy will have saved at the end of w
weeks of babysitting?
A. a =55w +25 B. a = 25w + 55 C. a = 55w + 80 D. a = 80w +55

Answers

Answer:

B

Step-by-step explanation:

because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.

sorry I'm not great at explaining lol

The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pet? Justify your answer. (I really need an answer now! Please answer as soon as you can )

Answers

I think the answer would be
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