Exercise 12.1.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.

Answer:

Multiplying each side by 5⇒ 15: 55

Multiplying each side by 10⇒30:110

Step-by-step explanation:

Answer:  3:11= 30:110 and 6:22

Step-by-step explanation:

30:110 is multipled by 10 and 6:22 is multiplied by 2!

It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!

Answer:

0.554

Step-by-step explanation:

1.04-.486=0.554

Answer:

131.9 cm

Step-by-step explanation:

Circumference = (2)(pi)(r)

radius = 21

pi = 3.14

c = (2)(3.14)(21)

c = 131.88

Round to the nearest tenth = 131.9

Answer:

A = 6940 m²

Step-by-step explanation:

We are told that there is a clover leaf intersection.

I have attached a picture of it with the 4 circles showing.

We are told the diameter of each circle is the same and equal to 47 m.

Thus, radius = 47/2 = 23.5 m

We want to find the area of grass that will cover the 4 circles. Thus;

Formula for area of a circle is;

A = πr²

For the 4 circles, we have;

A = 4πr² = 4 × π × 23.5²

A = 6939.78 m²

Approximately A = 6940 m²

Answer:

over 1/2 own a dog

Step-by-step explanation:

Answer:

Over 1/2 of students own a dog.

Step-by-step explanation:

Total number of students: 25 Add the students owning different types of pets

13/25 Number of students owning dogs divided by total number of students

13/26 = 1/2; therefore 13/25 > 1/2

Answer:

33.75

20

3624

35

the above numbers are for each of the blanks

the mean - 928.19

Step-by-step explanation:

Answer:f

tyn

Step-by-step explanation:

Answer:

I cant see the choices

Step-by-step explanation:

Answer:

There are 67,600 possible combinations for this vault.

Step-by-step explanation:

First dial: 100 possible values

Second dial: 26 possible values

Third dial: 26 possible values.

How many possible combinations are there for this vault?

Multiplication of these values. So

100*26*26 = 67600

There are 67,600 possible combinations for this vault.

Answer:

it is B

Step-by-step explanation:

Step-by-step explanation:

x²-9/x²-3x

x²-9 simplifies to (x+3)(x-3)

x²-3x simplifies to x(x-3)

cancel out the common term of (x-3) from the numerator and denominator to obtain

x+3/x

Answer:

The answer would be 4.5

Answer:

28 fish is the correct answer

Step-by-step explanation:.

The number of fish in the fish tank will be 28.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.

The density of the fish is defined as the number of fish per unit volume of the tank.

Given that volume of a fish tank is 70 cubic feet and the density is 0.4 fish over feet cubed.

The number of fish is calculated as below:-

Number = Volume of tank x Density of fish

Number = 70 x 0.4

Number = 28 fish

Therefore, the number of fish in the fish tank will be 28.

To know more about volume follow

https://brainly.com/question/1972490

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Answer:

side CB

Step-by-step explanation:

draw triangles ABC and ACD next to each other

The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD

Answer:

corresponded side

CD=CD

AC=AB

AD=AC

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

D: 6

Step-by-step explanation:

We know that the triangle is a right triangle

We can halve each of the sides

20/2 = 10

16/2 = 8

Pythagoream Theorem: A^2 + B^2 = C^2

C= 10

A= 8

10^2 - 8^2 = B^2

100 - 64 = 36

B^2 = 36

B = 6

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x + 4y < 4[/tex]

The question is incomplete, as what is to be done is not stated.

However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.

To calculate slope, we have:

[tex]x + 4y < 4[/tex]

Solve for 4y

[tex]4y < - x + 4[/tex]

Solve for y

[tex]y < -\frac{x}{4} + \frac{4}{4}[/tex]

[tex]y < -\frac{1}{4}x + 1[/tex]

A linear inequality is represented as:

[tex]y <mx + b[/tex]

Where [tex]m =slope[/tex] and [tex]b = y\ intercept[/tex]

So:

By comparison:

[tex]mx = -\frac{1}{4}x[/tex]

[tex]m = -\frac{1}{4}[/tex]

and

[tex]b = 1[/tex]

So:

[tex]Slope = -\frac{1}{4}[/tex]

[tex]y\ intercept = 1[/tex]

Also, see attachment for graph

This is a 30-60-90 right triangle.

In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.

Hi, you've asked an incomplete question. The full question reads;

Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?

a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.

b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.  

c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Answer:

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Step-by-step explanation:

Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).

Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).

9514 1404 393

Answer:

  D: all real numbers

  R: f(x) > 0

  A: f(x) = 0

  (-∞, 0), (+∞, +∞)

  vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

  g(x) = a·f(b(x -c)) +d

does the following:

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

The function is a growth function, so ...

_____

Additional comment

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

Answer:

40

Step-by-step explanation:

Divide 2400 by 60 to get 40

Hope this helps!

Answer:

40

-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The area of the circular ring is given by the formula ...

  A = πr²

where r is the radius, or half the diameter.

  A = π(14 ft)² = 196π ft² ≈ 615.752 ft²

The area of the training area is about 615.8 square feet.

__

The number of truckloads of dirt required for coverage will be ...

  (615.8 ft²)/(75 ft²/truckload) ≈ 8.21 truckloads

Since the dirt comes only in whole truckloads, Hilary needs 9 truckloads.

Answer:

c = 53 miles

Step-by-step explanation:

a^2 + b^2 = c^2

45^2 + 28^2 = c^2

2,025 + 784 = c^2

2809 = c^2

c  = 53

Answer:

Which is the graph of the inequality? 3y−9x≥9

Step-by-step explanation:

Which is the graph of the inequality? 3y−9x≥9

Answer:

68°

Step-by-step explanation:

Okay, so m<8 is on the same plane as m<7 because line q is intersecting line t  and that's supposed to add up to 180° so:

180° - 112° = 68°

So, m<7 = 68°

hope this helps:)

Answer:

36 inches

Step-by-step explanation:

We know that 1 ft = 12 inches

2 ft = 2 * 12 = 24 inches

3 ft = 3*12 = 36 inches

Answer:

omg what interesting i will see what i will come up with

Answer:

10

Step-by-step explanation:

5 + 5