Each trial consists of either tossing a fair coin or rolling a fair die. You startwith tossing the coin.As long as it turns out tails you will keep tossing it. The moment it turns outheads you will stop tossing it and start rolling the die. You continue rolling the die until you get a four or a five, then you start tossing the coin again. You keep applyingthe rules described above to change from tossing the coin to rolling the die and vice versa. What is the probability that on the third trial you will toss a coin

Answers

Answer 1

Answer:

0.41665 = 41.665% probability that on the third trial you will toss a coin

Step-by-step explanation:

First trial: Toss the coin

The following outcomes end up with a coin being tossed on the third trial.

Tails on the first and second trial(each with 0.5 probability).

Heads on the first trial(0.5 probability) and 4 or 5 on the die on the second trial(6 sided die, so 2/6 = 1/3 = 0.3333 probability).

What is the probability that on the third trial you will toss a coin

[tex]p = 0.5^2 + 0.5*0.3333 = 0.41665[/tex]

0.41665 = 41.665% probability that on the third trial you will toss a coin


Related Questions

Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries. Which sample should Javier use to get results that are the most representative of the total population? A. A random sample of 1,000 people from each of the 50 states B. A random sample of 1,000 people from his town C. A random sample of 1,000 people from his state D. A random sample of 1,000 people from 5 local grocery stores​

Answers

Answer:

a

Step-by-step explanation:

Because if he picks b which is only from his own town the rest of the states will not be included. If he pick only from his own states then he only represents his own states and for d 5 local grocery store we don't know which country it represents A is the correct answer.

The sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Here, sample which Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.

To find the sample, which Javier use to get results that are the most representative of the total population, we have to check all the options.

Lets, check all the options,

A. A random sample of 1,000 people from each of the 50 states-This includes the sample from each state. This gives the fair and equal chance to be chosen the sample from the country. Hence, this is the correct option. B. A random sample of 1,000 people from his town-This option only include his own town and does not include any other town. Hence, this is not the correct option.C. A random sample of 1,000 people from his state-This option only include his own state and does not include any other state. Hence, this is not the correct option. D. A random sample of 1,000 people from 5 local groceries stores-This 5 local store may represent his country or any other country. Hence, this is not the correct option.

Hence, the sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

Learn more about the random sample here;

https://brainly.com/question/17831271

I really need help with this trigonometric function, i am struggling and it would mean a lot.

Answers

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.

I would suggest calculator soup they have a trigonometric function calculator

And here is how to solve trigonometric function,

Put the equation in terms of one function of one angle.

Write the equation as one trig function of an angle equals a constant.

Write down the possible value(s) for the angle.

If necessary, solve for the variable.

PLEASE HELP which number line represents the solution to |x-21|<3

Answers

Answer:solutions, search about Complex Numbers

Step-by-step explanation:−2||=−6

2

|

x

|

=

6

||=−6−2=3

|

x

|

=

6

2

=

3

The value inside the absolute value brackets could be positive or negative and give a positive result.

()=3

(

x

)

=

3

 OR  −()=3

(

x

)

=

3

=3

x

=

3

 OR  =−3

x

=

3

On a number line, that would translate to a number line with two dots on it, one at -3 and one at +3.

x equal to 24 and it c

why is angel 6 congruent to angel 2​

Answers

Step-by-step explanation:

Angle 6 is only equal to angle 2 if the lines are parallel. The horizontal line is being intersected by two lines, if they are parallel then <6 = <2. They are equal because the horizontal line is straight, meaning anything crossing it that are parallel wil creat equal angles

What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?

Answers

Step-by-step explanation:

anewer is 30 cubic inches.

3 (7/5x+4) -2 (3/2 - 5/4x)​

Answers

Answer:

I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry

Answer:

[tex]6\frac{7}{10}x + 9[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]

[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]

[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]

Step 2:  Combine Like Terms

[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]

[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]

[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]

[tex]9+\frac{67}{10}x[/tex]

[tex]6\frac{7}{10}x + 9[/tex]

Answer:  [tex]6\frac{7}{10}x + 9[/tex]

Please let me know if you need to make it more clear!  :)

*
Write the equation in standard form using integers.

y=-4/5x+3

Answers

Answer:

4x + 5 y = 15

Step-by-step explanation:

WILL MARK BRAINLIST JUST HELP NOW
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.

A) 10 degrees
B) 25/5 degrees
C) 40 degrees
D) 160 degrees

Answers

Answer:

definitely A

Step-by-step explanation:

10 degrees. hope this helps lovely <3

The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370

Answers

I’m guessing 250

Hope it helpful

There are 310 bacteria are present after 10 hours.

The first is the correct option.

What is Exponential Growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The population of a bacterial culture grows at a rate of 4.5% every hour.

If there were 200 bacteria at the start,

then the number of bacteria after 10 hours are,

y = 200(1 + 0.045)¹⁰

y = 310.6

Therefore, 310.6 bacteria are present after 10 hours.

To learn more about the exponential growth;

https://brainly.com/question/12490064

#SPJ2

Find the surface area of the pyramid.

A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.

Answers

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

Leslie wants to build a 1,200 piece jigsaw puzzle. The completed puzzle will be in the shape of a rectangle that is 40 pieces in length by 30 pieces in width. Each piece is a square with an area of 0.25 in2. If Leslie wants to build the puzzle on a table that is at least 6 inches larger on all four sides than the complete puzzle, so that it makes a 6-inch border around the puzzle, what are the minimum dimensions of the table that she will need?

Answers

Answer:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Step-by-step explanation:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Which equation can be used to solve x + 3 = 15?​

Answers

Answer:

The equation 15 - 3 = x will help solve for x.

x = 12

Step-by-step explanation:

15 - 3 = 12

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

x = 15 - 3

Step-by-step explanation:

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

   -  3    - 3

x = 15 - 3

the real answer would be 12, if you need that.

What is 4xj-jxjxj+15

Answers

Answer:

The answer is j+15.

Step-by-step explanation:

4j-3j+15

=j+15

07:5
Which pair of angles must be supplementary?
VX
2.
6
3
4
5
21 and 26
22 and 25
0 25 and 24
Z6 and 22

Answers

Answer:

∠1 and ∠6

Step-by-step explanation:

Supplementary angles are two or more angles added together make 90°.

Right angles indicated by the small square at the corners.

∠2 and ∠5 are right angles.

So, any pair with ∠2 and ∠5 are not supplementary.

The only pair of angles that are not associated with ∠2 and ∠5 is: ∠1 and ∠6.

What is the quotient of 1,275 divided by 5

Answers

Answer:

225

Step-by-step explanation:

1275 / 5 = 225

I know this because five can go into the 1275 225 times

Answer:255

Step-by-step explanation:

I’m not completely sure what your asking but 1275 divided by 5 is 255


Please help solve this!

Answers


By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.

Therefore the area of the isosceles triangle is

6•4/2=12

However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by

6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2

In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.

Answers

Answer:66.3

Step-by-step explanation:

Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2

Answers

Answer:

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]

Jim can buy 2 cakes for $40. At that rate, how much will it cost to buy 7
cakes?

Answers

Answer:

$140

Step-by-step explanation:

2 diveded by 40 is 20. 20 multiplied by 7 is 140.

Answer:

$140

Step-by-step explanation:

1 cake = $20

7 cakes * $20 per cake

= $140

11 divided by 30.8 PLEASE I NEED HELP

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

30.8/11=2.8

11/30.8=0.357142857

Step-by-step explanation:

give me brainlest please

Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14​

Answers

Answer:

The area is 0.0316

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X

Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14

Below z = -2.16 or Above z = 2.14

Below z = -2.16

z = -2.16 has a pvalue of 0.0154, which means that this area is 0.0154

Above z = 2.14

z = 2.14 has a pvalue of 0.9838, which means that this area is 1 - 0.9838 = 0.0162

Total:

0.0154 + 0.0162 = 0.0316

The area is 0.0316

Given that m*n = 3m-n/2 , evaluate 6*(3*1)

Answers

Answer:

24

Step-by-step explanation:

m × n = 3m - n ÷ 2

6 × (3 × 1)

6 × 4

24

I think it’s 24 sorry if I’m wrong

Find the factor pairs of the following number: 70​

Answers

Answer:

70 = 7 x 5 x2 x 1. When asked to find out the total number of factors of 70, you have to write down all the multiples of 70 such as, Factors of 70 are: 1, 2, 5,7,14, 10, 35 and 70 = 8 factors.

ill mark brainlist plss help

Answers

Answer:

C. 99 yd^2

Step-by-step explanation:

The formula for solving for area of a triangle is 1/2*b*h.

18*11=198

198/2=99

-6 + w/4 = -2 simplified as much as possible

Answers

Answer:

sln

-6+w/4=-2

w/4=-2+6

w/4=4

w=4x4

w=16

find the values of b
b²= 256
b=?​

Answers

Answer:

if b²=256

then b=16

....................

Answer:128

Step-by-step explanation:

bsqured=256 squre root. b=256÷2. =128



When solving an inequality that results in negative x, we must reverse the inequality and reverse the signs of all the numbers.
True or false please help

Answers

Answer:

trust your instincts

Step-by-step explanation:

im on a chalnge i will let you decide your destiny on your own

A $240.00 item is marked down by 25%.
What is the new cost of the item?
Round to two decimals if needed.
$

Answers

The price of the item is now $180
180$ is the new price.


Explanation:

240 X 0.25 = 60

240 - 60 = 180


Simplify.
2x + 6x2
10 + 4x2 – 3x + (-6) =

Answers

Answer: 14x,4+4x ^2-3x

 

Step-by-step explanation:

1. Simplify  6x\times 26x×2  to  12x12x.

2x+12x,10+4{x}^{2}-3x-6

2x+12x,10+4x  

2

−3x−6

2 Simplify  2x+12x2x+12x  to  14x14x.

14x,10+4{x}^{2}-3x-6

14x,10+4x  

2

−3x−6

3 Collect like terms.

14x,((10-6)+4{x}^{2}-3x)

14x,((10−6)+4x  

2

−3x)

4 Simplify  (10-6)+4{x}^{2}-3x(10−6)+4x  

2

−3x  to  4+4{x}^{2}-3x4+4x  

2

−3x) Hope that helps

What is the mapping rule for finding the coordinates of a figure that is

Answers

Answer:

A) x, y turns into -x, -y

B) x, y turns into -y, x

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