14. A unfair coin has the probability of heads

3 / 8

and the probability of tails

5 / 8

. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?

Answers

Answer 1

Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]


Related Questions

Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????

Answers

Answer:

so about 4?

Step-by-step explanation:

1 kilogram = 1,000 grams

2 kilograms = 2 times 1,000 which equals 2,000 grams

2,000 grams makes one liter

uhh this is just an educated guess...

A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?

Answers

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

What is sale price?

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

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Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North
South
market
market
Cherries
0.96
0.8
Asparagus
0.5
0.65
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
O A. South market. There is a 0.77 probability of both cherries and
asparagus being available.
B. North market. There is a 0.77 probability of both cherries and

Answers

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

How to determine the market to choose?

The table is given as:

                   North market     South market

Cherries          0.96                   0.8

Asparagus       0.5                   0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

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5. John is now three times as old as Bill.
In four years, John will be only twice
as old as Bill. Find John's age.
6
A. 4
B.
C.
8
D. 10
E. 12

Answers

Answer:

12 is johns age

Step-by-step explanation:

all you have to do is multiply johns age times 3 then you get your anser

The scale factor of a model car to the actual car is 300. If the model car is 2in tall, how tall is the actual car?

Answers

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

2 in. : actual = 1 : 300actual = 2 × 300actual = 600 inches or 600/12 = 50 feet

Pls, look at the picture for the question.

Answers

B. 9*10^16 (because in question give it)


B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

The executive summary component of a business plan is to describe
a where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
b. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
c. the 'big picture behind your business, what your business has to offer the consumer, and why
your business will be successful
d. how your business will be organized and what type of management or department structure
your business will have
Please select the best answer from the choices provided
ΟΑ
О В
ОС

Answers

Answer:

Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why

Step-by-step explanation:

B is right

Help please I don’t get this one

Answers

Answer:

[tex]P = 8\pi[/tex]

Step-by-step explanation:

To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.

We know the diameter is 4m, thus, the circumference of one circle (two halves) is:

[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]

To get the total perimeter (circumference) multiply the result by 2:

[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]

type in the correct solutions to match each graph.

Answers

Answer:

congruent and parallel those are two of them i dont know the other 2 sorry

Step-by-step explanation:

edclub
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canvas instructure...
Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M

any help?
A : Point M
B : Point N
C : Point L
D : Point K

Answers

Point M

It is at 3.75 and negative 2.25 so it has to be it.
Answer is A -point M
See picture for reference

Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°

Answers

the measurement of angle 110°

If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?

Answers

Answer:

like a 85 hop this helps I'm so sorry have a good day stay safe

Answer:

your grade will be 166%.

Step-by-step explanation:

First I subtract 86-50=36.

second I add 100+30=130.

total is 130+36=166%

What is the approximate value of X?! Help ASAP please

Answers

Triangles are similar

x/5=12/1313x=60

x=60/13x=4.615x=4.62

Option E

Answer:

Both of the triangles are similar but they look like they have been rotated a bit.  Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13.  Therefore we can just set up an equation and cross-multiply.

[tex]\frac{x}{5} = \frac{12}{13}[/tex]

[tex](x * 13) = (5 * 12)[/tex]

[tex]13x = 60[/tex]

Divide 12 from both sides

[tex]13x/13 = 60/13[/tex]

[tex]x=4.615[/tex]

Best option would be Option E, 4.62

The point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)

Answers

The answer is (2,-1)

Rewrite the equation below so that it does not have fractions:

3/4x - 2 = 5/12

Do not use decimals in your answer.

Answers

Answer:

Equation = [tex]\frac{3}{4}[/tex] x - 2 = [tex]\frac{5}{12}[/tex]

First: [tex]\frac{3}{4}[/tex] x = [tex]\frac{5}{12}[/tex] + 2

Then: [tex]\frac{3}{4}[/tex] x = [tex]\frac{29}{12}[/tex]

Answer: x = [tex]\frac{29}{9}[/tex] —> 9x = 29

—-

Have a nice day!!

Help and show explanation please

Answers

Answer:

This app is very good,it help us do our homework.and we make a good passed.

Find the factor of each ff.
8t²-16t-4​

Answers

Answer:

For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:

[tex]4( {2}t^{2} - 4t - 1)[/tex]

Step-by-step explanation:

Just factor it by 4

Answer:

4(2t^2 - 4t - 1)

Step-by-step explanation:

8t²-16t-4​

= 4(2t^2 - 4t - 1)

2t^2 - 4t - 1  is prime so there are no more factors.

What is the surface area of the box formed by the pattern below?

Answers

Answer:

S.A = 2( L×W+W×H+ H×L)

= 2(2×4+4×1+1×2)

= 2(8+4+2)

2(14)

= 2×14= 28

Step-by-step explanation:

answer 28


Please help………………………..

Answers

Answer:

  (a)  sin⁻¹(√35/14)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(C) = AB/AC

__

For this problem, substituting values gives ...

  sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14

  C = arcsin((√35)/14)

_____

Additional comment

Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.

which of the follow r-values represents the no or low coorelation

Answers

The r-value that represents the no or low correlation is 0.0

How to determine the r-value?

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?

Answers

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.

Answers

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285


Asking for help on this again because i reallu need it!!

Answers

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

Please help need to get it done in 10 minutes.Thank you
There are 12 inches in a foot.

Complete the table.
Inches: 12, ___, 60, 108
Feet: 1, 3, ___, ___

Answers

Answer:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

Step-by-step explanation:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

3*12 = 36

60/12 = 5

108/12 = 9

Find F Write your answer in simplest radical form.

Answers

3sqrt3
Side lengths of a 30-60-90 triangle are x xsqrt3 and 2x

Answer:

f= 5.2 or 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Cot(60) = 3/f

0.58 =3/f

0.58f = 3

f= 5.2 or 3[tex]\sqrt{3}[/tex]

A 2-pack of movie tickets costs $17.24. What is the unit price

Answers

Answer:

As the two pack of ticket cost 17.24. Mean that the unit or the price of one pack will be half of it which is

8.62

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Given ,

2 pack movie tickets costs $17.24

Unit price = $17.24/2 = $8.62

15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.

Answers

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Given f(a, b) = 3a2 – 2ab + 5b2 , determine (a) f(-2, 3) and (b) f(x+y, x-y)

Answers

Answer:

1) 45

2) 6x^2-4xy+10y^2

Step-by-step explanation:

1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)

Replace a with (-2) and b with (3):

3(-2)^2-2(-2)(3)+5(3)^2

3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.

12-12+45 *performed more multiplication

0+45 *additive inverses property applied

45 *performed some addition

2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)

Replace a with (x+y) and b with (x-x-y):

3(x+y)^2-2(x+y)(x-y)+5(x-y)^2

*Explained binomial squares

3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)

*Expand product of the sum of two numbers with the difference of said numbers

3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)

*Distribute

3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)

*Combine like terms

6x^2-4xy+10y^2

Please explain thank you

Answers

Answer:

14x15-10x10=110

A=110

Step-by-step explanation:

Answer:

First, we'll need to find the length of each side.

10m + 4m = 14m

10m + 5m = 15m

Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".

To find the Area of the WHOLE square, we'll need to multiply both lengths.

14 × 15 = 210m^2

To find the area of the given figure:

1. Find the Area of the 10m of the "North" and the 10m of the "West".

10 × 10 = 100m^2

2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.

210m^2 - 100m^2 = 110m^2

The area of the given figure is 110m^2.

Hope it helps you! ^^

Calculate the volume of this cylinder, giving your answer to 1 decimal place.

Answers

Step-by-step explanation:

given radius r =20÷2=10

Height h=9

volume of cylinder

v= πr^2h = 22÷7 ( 10)^2 ×(9)

= 2828.571429.

hence the required volume of cylinder is 2828.571429

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