Suppose that a box contains one fair coin and one coin with a head on each side. suppose that a coin is selected at random and that when it is tossed three times, a head is obtained three times. determine the probability that the coin is the fair coin.

Answers

Answer 1

there is a 50% chance it is the fair coin

Related Questions

Round 12502 to nearest thousand

Answers

12,500 would be the answer

The volume of a sphere is a function of its radius, V=4/3(pie)(r^3). Evaluate the function for the volume of a volleyball with radius 11.4cm

Answers

The sphere is indeed the set of all points situated at a distance in 3-D Subspace from a certain point. The diameter is two times termed the radius, and pairs of points are called antipodes on the opposite ends of the diameter.

Given:

Volleyball (sphere) volume[tex]=\bold{\frac{4}{3} \pi r^2}[/tex]

[tex]\to \bold{r=11.44\ cm}[/tex]

putting the value into the formula:

[tex]=\bold{\frac{4}{3} \times 3.14 \times 11.4^2}\\\\=\bold{\frac{4}{3} \times 3.14 \times 1481.544}\\\\=\bold{\frac{4}{3} \times 4652.04816}\\\\=\bold{4 \times 1550.68272}\\\\=\bold{6202.73}\\\\[/tex]

The final volume of volleyball (sphere) "[tex]\bold{6202.73\ cm^3}[/tex]".

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Final answer:

To find the volume of a volleyball with a radius of 11.4 cm, we plug the radius into the formula for the volume of a sphere, V=4/3(pi)(r^3), resulting in an approximate volume of 6185.7 cubic centimeters.

Explanation:

The question asks to evaluate the volume of a sphere using the given formula, which is V=4/3(pi)(r^3), where V represents the volume and r is the radius of the sphere. To find the volume of a volleyball with a radius of 11.4 cm, we substitute r with 11.4 in the formula and calculate the volume accordingly.

The calculation would be:

V = 4/3 × pi × (11.4 cm)^3
V = 4/3 × 3.14159 × 11.4 cm × 11.4 cm × 11.4 cm
V = 4/3 × 3.14159 × 1481.784 cm^3
V ≈ 4/3 × 3.14159 × 1481.784 cm^3
V ≈ 6185.7 cm^3

Therefore, the volume of the volleyball is approximately 6185.7 cubic centimeters.

What is the value of a if (2a + 3) - 3/4 (4a - 8) = 7

Answers

it would be x=2 becuz that equation simplified is 2x+3-3x+6=7
than it would be -x+9=7 and than subtract 7 and 9 -x=-2 divide x=2

Suppose $1,000 is compounded quarterly for 4 years. what rate is needed to reach a total of $1,500? round to the nearest tenth of a percent.

Answers

10.3% compounded quarterly. The formula for compound interest is A = P(1+I/N)^TN where A = Amount after interest is granted P = Principle I = Interest rate N = Number of periods per year T = Number of year Since we want to get 1500 with an starting principle of 1000, that means that (1+I/N)^TN has to equal 1.5. And since we know that TN will be 4 * 4 or 16, we know that (1+I/N) has to be the 16th root of 1.5, so let's calculate 10^(log(1.5)/16) = 10^(0.176091259/16) = 10^0.011005704 = 1.025665396 Now write the expression 1 + I/4 = 1.025665396 And solve for I 1 + I/4 = 1.025665396 I/4 = 0.025665396 I = 0.102661586 So the desired interest rate will be 10.3% compounded quarterly.

Taneisha's family has signed up for a new cell phone plan. Taneisha now has a limit on the number of texts she can send or receive each month. She can text no more than 300 times per month.
1. What's is the least number of texts she can make in a month?
2.write an inequality to represent the statement. Use n for the number off texts.
3.what's is the greatest number of text she can make in a month.
4.write an inequality to represent the statement.Use n for the number of texts.
5.write the statement from parts(b) and(d) as a compound inequity.
6.write the compound inequality in compact from.

Answers

1 and 2. Taneisha can send as few as 0 texts, or n>=0.

3 and 4. Taneisha can send as many as 300 texts in a month, or n<=300.

5. In this case, n>=0 and n<=300.

6. Putting these in compound form to make them one statement gives 0 <= n <= 300.

Hard math question!
What is the inverse matrix of [tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] [/tex]?
Please show work!

Answers

First, let me show you some notation.

To show a matrix is an inverse of another matrix, we write [tex]A^{-1}[/tex]

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.

For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.

Then multiply each entry in the matrix by 1 divided by the determinant.

[tex] \left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] = \\ \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right][/tex]

I hope this helped!

If m = 4 and n = 4, then m = n What property is this?

Answers

Definition of symmetric property

A tennis ball has a radius of 3.4 cm. What volume of this cylinder is empty?

Answers

check the picture below.

so, now, we simply get the volume of the cylinder, and then volume of the 3 balls, and subtract the volume of the balls from the cylinders, effectively making a hole in the volume of the cylinder, and what's leftover, is the empty area.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=3.4\\ h=20.4 \end{cases}\implies V=\pi \cdot 3.4^2\cdot 20.4\implies V=235.824\pi \\\\ -------------------------------\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad r=3.4\implies V=\cfrac{4\cdot \pi \cdot 3.4^3}{3}\implies V=\cfrac{157.216\pi }{3}[/tex]

[tex]\bf \textit{volume of the \underline{3 balls}}\quad 3\cdot \cfrac{157.216\pi }{3}\implies 157.216\pi \\\\ -------------------------------\\\\ \stackrel{\textit{volume of the cylinder}}{235.824\pi }-\stackrel{\textit{volume of the balls}}{157.216\pi }\implies 78.608\pi [/tex]

Answer:

Thanks to point

ok nerd

Suppose you choose a marble from a bag containing 3 red marbles, 3 white marbles, and 5 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).

Answers

Since there are 3 marbles that are red out of 11, the probability of picking a red is 3/11. The probability that the next pick will be blue is 5/11.

Multiply those 2 numbers together and you get 3/11 * 5/11 = (3*5) / (11*11) = 15/121

The probability of first picks the red and then blue will be,15/121.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

No of red marbles =3

No of white marbles = 3

No of blue marbles =5

Total no of the marble is;

T= 3+3+5=11

The probability of picking a red ;

[tex]\rm P_{red}=\frac{3}{11}[/tex]

The probability that the next pick will be blue is;

[tex]P_{( blue})=\frac{5}{11}[/tex]

P(red then blue) is;

[tex]P_{(red \rightarrow blue})=\frac{3}{11} \times \frac{5}{11} \\\\ P_{(red \rightarrow blue})=\frac{15}{121}[/tex]

Hence,the probability of first picks the red and then blue will be,15/121.

To learn more about the probability, refer to the link;

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Prove that the eigenvalues of a matrix squared are greater than the matrix eigenvalues

Answers

yes it issssgvrttvnrtbt

tours of the art museum are offered every 1/3 hour starting at 10 am. the museum closes at 4 pm. how many tours are offered each day

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Answer is 18, because it's 3 per hour and it's for 6 hours.
Multiply 3x6=18

Hope this helps!

If point a is located at (-12,6) on a coordinate plane, and point b is located at (4,6) what is the distance between the two points

Answers

Final answer:

The distance between point A at (-12, 6) and point B at (4, 6) is 16 units according to the distance formula for a coordinate plane.

Explanation:

The question is asking for the distance between two points on a coordinate plane. To solve this, we use the distance formula for a coordinate plane which is D = sqrt((X2-X1)^2 + (Y2-Y1)^2), where X1, Y1 and X2, Y2 are the coordinates of the two points. In this case, both Y coordinates are the same (6), which makes the calculation simpler.

In this case, point A is at (-12, 6) and point B is at (4, 6). Subtracting the x-coordinates of A and B, (-12 - 4), we get -16, but we square this to get a positive result, which gives us 256. Since the y-coordinates are the same, the part of the equation dealing with them results in 0. So, the distance D is then the square root of 256, which is 16 units.

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Insert parentheses so that the expression has a value of 67: 3×5+6×2+1

Answers

Below is the expression with parentheses that is equivalent to: 67. The work is shown.

[tex][3(5+6)2]+ 1 [3(11)2] + 1 66 + 1 67[/tex]

Line AC is tangent to circle O at point C
What is the measure of OAC?

Answers

AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.

The measure of m<OAC is 45degrees

Tangent line to a circle

From the given diagram, we can see that the line A is tangential to the circle at point C, hence m<C = 90 degrees

Taking the sum of angle in a triangle

m<OAC + 45 + 90 = 180

m<OAC = 180 - 135

m<OAC = 45 degrees

Hence the measure of m<OAC is 45degrees

Learn more on circle geometry here: https://brainly.com/question/25306774

23X67 Estimate then find the prouduct

Answers

To estimate, you would usually round to a significant figure
so, 20* 70=1400

The actual answer is 1521, so we know we are close

what is the product of −4 1/2 and 2 1/2 ?

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The answer is: " -11 ¼ "; or write as: " -11.25 " .
________________________________________________________
-4 ½ * 2 ½ = [tex] \frac{-9}{2} [/tex] * [tex] \frac{5}{2} [/tex] = [tex] \frac{(-9*5)}{(2*2)} [/tex]

= [tex] \frac{-45}{4} [/tex] ; which equals: " -11 ¼ "; or write as " -11.25 " .
________________________________________________________
Or; "-4 ½ * 2 ½ = -4.5 * 2.5 = - 11.25 " .
________________________________________________________

branliest offered
which number is between -30 and 025
A. negative square root of 1610
B. negative sqare root of 680
C. negative square root of 410
D. negative square root of 27

Answers

sqrt(1610) = 40.12 = -40.2

sqrt(680) = 36.08 = -36.08

sqrt(410) = 20.25 = -20.25

sqrt(27) = 5.20 = -5.20

is that supposed to be 025 or negative 25?

the way the question is written

the answer is C & D

Let f(x) = x2 and g(x) = x − 3. Evaluate (f ∘ g)(−2).

Answers

F(g(-2))
F(-2-3)
F(-5)
25

Answer: f (g (-2)) = 25

Step-by-step explanation:

Hi, to evaluate (f ∘ g)(−2). Where:

f(x) = x2

g(x) = x − 3

As (f ∘ g)(−2) = f (g (-2))

First we find the value of g (-2) replacing the variable x by the number -2.

g (-2) =-2-3 = -5

Finally , for f(x) = x²,we replace the variable x for the value obtained (-5)

f (g (-2)) = (-5)²= 25

Feel free to ask for more if needed or if you did not understand something.

George wants to save money for a car. George invest 1300 and an account that is an interest rate of 7.5%

How many years will it take for that account 7,100?

Answers

According to the formula above
7100=1300 (1+0.075)^t
Solve for t
Divide both sides by 1300 to get
7100/1300=(1+0.075)^t
Take the log for both sides
Log (7100/1300)=t×log (1.075)
Divide both sides by log (1.075) to get
T=log(7,100÷1,300)÷log(1.075)
T=23.48 years round your answer to get 23 years

Hope it helps!

Two cards are randomly selected from a 52-card deck. what is the probability that the draw will yield an ace and a face card?

Answers

16/52 because there are 3 different face cards and 4 of each and then 4 aces

What is the length of AB?

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Thanks for your question!

Because the angles are the same, the sides are the same.
So:

6x = 3x + 9
3x = 9
x = 3

But this problem isn't over yet. We need to find AB not x.

6(3) = 18

Hope this helps!

As you can see from the diagram, this is an isosceles triangle (triangle where 2 sides are equal and angles opposite are also equal).

Since there are two 65 degree angles, the sides opposite them are also equal. So we can write:

[tex]6x=3x+9[/tex]

Solving for x:

[tex]6x=3x+9\\6x-3x=9\\3x=9\\x=\frac{9}{3}\\x=3[/tex]

Now, we want to know side length of AB, which is 6x. Plugging in x = 3 into that, we get:

[tex]AB=6(3)\\AB=18[/tex]

Answer choice D is right.

ANSWER: D

If ax-a>2a and x-1<-2

Answers

ax-a>2
x-1<-1

ok, in the first one, we can undistribute the a

ax-a>2
a(x-1)>2
and we known that x-1<-1, so x-1 is negative
we can assign c for x-1 to do c<-1 then

a(c)>2
ac>2
so if c is negative, then therefor a must also be negve to produce greater than 2
hmm, we see 2 choices that work, B and D

hmm, if c=-1.5
then a has to be 0.75
that is a possible solution so therefor B is false

the answer is D

9/4x-1/2y=-3 in x and y intercepts

Answers

Answer: 4(y/2 - 3)/9

hope this helps

We know the equation:
y=mx + b
So
9/4x-1/2y=-3
-1/2y = -3 + 9/4x
-1/2y = 9/4x - 3
-1/2y * -2 = (9/4x - 3) * -2
y = -9/2x + 3
Therefore:
b = 3
and the slope is - 9/2

Solve the system of linear equations in two variables by elimination or substitution.
3x+y=7
-2x-y=9

Answers

3x + y = 7
-2x-y=9

3x+y=7
y=-2x-9

3x-2x-9=7
x-9=7
x=16

Answer:

x=16, y=-41

Step-by-step explanation:

An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the ___________ plane

Answers

The Cartesian plane is where an ordered pair of real numbers can be represented in a rectangular coordinate system.

In a rectangular (Cartesian) coordinate system, an ordered pair of real numbers can be represented in the Cartesian plane. The Cartesian plane is formed by the xy plane, where the x and y axes are perpendicular and intersect at the origin.

Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .

Answers

(x+4)+v<=14 is the equation
the neighboor's age is at most, 5 years
and victoria is 9 at most

the smallest child is 5

Simplify the expression using properties of exponents.

12a-9b-4

9a2b6

Answers

check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)

you have exactly $120 to spend on new school clothes, including 6% sales tax. What is the most that the clothes themselves can cost?

Answers

120 multiplied by .06 is 7.2
120 subtracted by 7.2 is 112.8

The most the clothes themselves can cost is $112.80.

Hope this helps!

How do you solve this?

Answers

Alright, so 9^(-1/2) would mean that we have 1/(9^(1/2)). Since 9^(1/2) is the square root of 9 (1/3 would be the cube root, etc.), we have 1/sqrt(9)=1/3. For 3/(1/3), we have (3/1)/(1/3), which is (3/1)*(3/1)=9. Squaring 9, we get the cube root of 81 which is around 4.3

The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator travels at a rate of 7.5 meters per second, approximately how long will it take to travel from the first floor to the sixty-eighth floor?

Answers

Final answer:

It will take approximately 44.67 seconds for the elevator to travel from the first floor to the sixty-eighth floor, assuming it travels at a constant speed of 7.5 meters per second throughout the journey.

Explanation:

To determine how long it takes for the elevator to travel from the first floor to the sixty-eighth floor, we must first calculate the total distance traveled and then use the speed of the elevator to find the time.

Since each floor is 5 meters high, the total distance for 67 floors (from the first to the sixty-eighth) is 67 floors × 5 meters/floor = 335 meters.

Given that the elevator travels at a rate of 7.5 meters per second, the time taken to travel this distance can be calculated using the formula:

time = distance/speed

Substituting the values, we get:

time = 335 meters / 7.5 meters/second

time ≈ 44.67 seconds

Therefore, it will take approximately 44.67 seconds for the elevator to travel from the first floor to the sixty-eighth floor, assuming it travels at a constant speed throughout the journey.

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