Your friend has a coln that is not fair. It comes up heads 70% of the time and talls 30% of the time. You flip it twice. Let Xbe the number of heads that come up. Find the probability distribution for X

The circumference of a circle is found using the formula,

Where

C is the circumference

r is the radius

A circle has radius 12 cm, so its circumference is

When the radius (12 cm) is increased by a factor of 7, we mean the radius is 7 times the original, so, the new radius is

So, the circumference of this circle will be >>>>

To find how many times larger this circumference is of the previous one, we divide,

Using the circumference formula, we can find the circumference of this circle,

The original circle had a circumference of 24π

The question basically asks "how many times is the circumference of this circle compared to the circumference of the original circle?"

Of couse, it will be less than 1 since this circle is smaller than the original one.

So,

So, the scale factor is 1/4, or 0.25

Answer:

28 miles

Explanation:

The equation that describes the relationship between the fare and the number of miles is:

f = 2.25 + 0.20(m - 1)

Where f is the fare and m is the number of miles.

So, if the taxi fare was $7.65, we can replace f by 7.65. Then:

7.65 = 2.25 + 0.20(m - 1)

Therefore, we can calculate the number of miles by solving the equation for m. So, subtracting 2.25 from both sides:

7.65 - 2.25 = 2.25 + 0.20(m - 1) - 2.25

5.4 = 0.20(m - 1)

Dividing by 0.20, we get:

Finally, add 1 to both sides:

27 + 1 = m - 1 + 1

28 = m

So, he travels 28 miles in the taxi

Given data:

The given figure of the triangle.

The remote interior angles of ∠1 are,

Thus, the options (C) and (E) are correct.

The given inequality is 21>x+2.

The inequality can be solved as,

Thus, the above expression gives the required solution for the inequality.

Selena was comparing the flying seeds of different birds in science class.

Which of the three words why faster why?



Select the correct response



1. the blue jay Five Spices because it's rate is 20 m/s



2. the Cardinal flies fast is because it's right is 10 m/s



3. The robin Place passes because it's rate is 15 m/s



4.they all fly at a rate of 10 m/s​

____________________________

The slope, in this case, expresses the variation of the distance with respect to time (that is, the speed).

Comparing the slopes

Blue Jay's Flight

slope 10 m/s

__________________

Robin's Flight

slope = (y1-y2)/ (x1-x2)

Selecting the points (x, y)

Point 1 (2, 30)

Point 2 (6, 90)

slope = (90- 30) m / (6-2 )s

=(60)/ 4

= 15 m/s

_______________________________

Answer

3. The robin Place passes because it's rate is 15 m/s

_______________________________

Can you see the updates?

Do you have any questions regarding the solution?

If you don’t need further explanation on this question, we can end the session.

I want to remind you this answer will always be saved in your profile. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day!

Answer: -14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

Answer:

-14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

I double-checked, and I believe it's correct.

P.S, if I could get Brainliest, it'd mean a lot to me! Thanks!

Filling with the information given, we have:

Multiply the original recipe by 10 (Since we have to serve 10 people)

New recipe:

Salt: 1/8 x 10 = 10/8 = 5/4 (Multiplying fractions and simplifying)

5/4 = 1 1/4 ( Converting the fraction to a mixed number)

Evaporated milk : 1 x 10 = 10 cans.

Vanilla: 1 x 10 = 10 teaspoons.

Brown sugar: 1/4 x 10 = 10/ 4 = 5/2 (Multiplying fractions and simplifying)

5/2 = 2 1/2 (Converting the fraction to a mixed number)

The values of the new recipe are:

Salt: 1 1/4

Evaporated milk: 10 cans

Vanilla: 2 1/2 teaspoons

Brown sugar: 2 1/2 cups

Answer:

58.29 cm^2

Step-by-step explanation:

The area of a trapezium is calculated with the following formula:

[tex] \frac{a + b}{2} \times h[/tex]

(a: base, b: base, h: height)

[tex] \frac{ 7 + (10.4)}{2} \times (6.7) \\ \\ \frac{17.4}{2} \times (6.7)[/tex]

get rid of fraction by dividing (17.4) with 2

(17.4)÷2 = 8.7 multiply this with height

(8.7) × (6.7) = 58.29

The area of the given trapezium is 58.29 cm².

So, the area of the trapezium:

Solve as follows:

Therefore, the area of the given trapezium is 58.29 cm².

Know more about trapeziums here:

https://brainly.com/question/1410008

#SPJ13

Rule of dilation:

Find the coordinates of the points in g(x) following the rule above:

Answer:

$7.75 per hour

Step-by-step explanation:

10 days x 8 hours = 80 hours

$620/80 hours = $7.75 per hour

Answer:

$7.75 per hour

Step-by-step explanation:

8 x 10 =80

$620=80 hours

÷80 ÷80

$7.75=1 hour

The distance around a circle is known as the circumference, by definition.

Answer:

qt 456u8u64t3544

Step-by-step explanation:

for wicks watchful warships x

Answer:

8

Step-by-step explanation:

To find the perimeter, you must add the lengths of all sides.

In this question the perimeter is given, which is 63.

63 = 12 + 12 + 3x + 2x + 1 + x + 2

1. Add the numbers

63 = 12 + 12 + 3x + 2x + 1 + x + 2

12 + 12 + 1 + 2 = 27

63 = 27 + 3x + 2x + x

2. Combine Like Terms

63 = 27 + 3x + 2x + x

x = 1
3x + 2x + 1x = 6x

63 = 27 + 6x

3. Move Variable to the left

63 = 27 + 6x

63 = 6x + 27

4. Subtract 27 from both sides, the opposite of adding 27

63 = 6x + 27

63 - 27 = 6x + 27 - 27

36 = 6x

5. Divide by the same factor, the opposite of multiplying 6

36 = 6x

36/6 = 6x/6

6. Cancel out the 6s but leave the x

36/6 = 6x/6

x = 6

So, now that we know that x = 6 we can solve the expression, x + 2, to find out the length of the side BC.

6 + 2 = 8

Answer:

158,760$

Step-by-step explanation:

120,000$ + 40%=168,000$-5.5%=158,760$

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is  14, 062. 5 Joules

Learn more about kinetic energy here:

https://brainly.com/question/25959744

#SPJ1

Answer:

  -12 m/km

Step-by-step explanation:

You want to know the average elevation change per kilometer given the elevation changes from 876 meters to 672 meters over a distance of 17 kilometers.

The average elevation change per kilometer is found by dividing the elevation change by the number of kilometers. The elevation change is the difference between the ending elevation and the starting elevation.

  rate of change = ((end elevation) -(start elevation))/(distance)

  = (672 m -876 m)/(17 km) = (-204 m)/(17 km) = -12 m/km

The average elevation change is -12 meters per kilometer traveled from the lodge.

__

Additional comment

Expressing both dimensions in the same unit, we can find the average grade of the road to be ...

  (-12 m)/(1000 m) = -0.012 = -1.2% . . . . . average grade of the road

Given:

Consider the individual options and compare them with the given number.

A.

We know that

This option is correct.

B.

We know that

This option is not correct.

C.

This option is not correct.

D.

This option is not correct.

Final answer:

Option A is correct.

The graphs of the hyperbola have zero point of intersection.

The point of intersection is the point where two or more functions meet.

The given parameters;

3x² – 4y² + 4x – 8y +4= 0

3x² + y² + 4x – 3y +4= 0

To find the points of intersection, we simply equate both equations.

So;

3x² – 4y² + 4x – 8y +4= 3x² + y² + 4x – 3y +4

Now Cancel out the common terms

y² - 3y = - 4y² - 8y

Collect like terms;

y² + 4y²=  3y - 8y

5y² = - 5y

Divide through by 5

y² = -y

Divide through by y

y = -1

Hence, the graphs of the hyperbola have zero point of intersection.

Read more about points of intersection at:

brainly.com/question/13373561

#SPJ1

Answer

The values of a that ensures that the system has at least one solution is

a > (21/127)

Explanation

We are told to find the values of a that ensures that the system has at least one solution. The system of equations include

3 (a - 5x) < 1 + x

2 - (x/2) > 3 + 5 (x - a)

To do this, we need to solve the expressions

3 (a - 5x) < 1 + x

3a - 15x < 1 + x

We can rewrite this as

1 + x > 3a - 15x

x + 15x > 3a - 1

16x > 3a - 1

Divide both sides 16

We then solve the second one. But to do this, let's multiply through by 2

2 - (x/2) > 3 + 5 (x - a)

4 - x > 6 + 10 (x - a)

we can rewrite as

6 + 10 (x - a) < 4 - x

6 + 10x - 10a < 4 - x

10x + x < 10a - 6 + 4

11x < 10a - 2

Divide both sides by 11

The two solutions are

x > (3a/16) - (1/16)

x < (10a/11) - (2/11)

To find a lasting solution, we need the inequality sign to be the same, so, we need to multiply through one of the equations by -1

x > (3a/16) - (1/16)

-x < (-3a/16) + (1/16)

So, the system of equations become

-x < (-3a/16) + (1/16)

x < (10a/11) - (2/11)

We can then add the two equations

-x + x < (-3a/16) + (1/16) + (10a/11) - (2/11)

0 < (-3a/16) + (10a/11) + (1/16) - (2/11)

0 < -0.1875a + 0.9091a + 0.0625 - 0.1818

0 < 0.7216a - 0.1193

Rewrite

0.7216a - 0.1193 > 0

0.7216a > 0.1193

Divide both sides by 0.7216

(0.7216a/0.7216) > (0.1193/0.7216)

a > 0.1653

a > (21/127)

Hope this Helps!!!

Answer:

  116

Step-by-step explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Equivalent ratios can be written as a proportion:

  1.2/29 = 4.8/x

Multiplying by 29x, we have ...

  1.2x = 29(4.8)

Dividing by 1.2 gives ...

  x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

__

Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

  [tex]\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}[/tex]

Goran has $18 in his wallet. Rita has $25 and Kareem has $50 in his wallet.

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.

Let the amount Goran have = X

Then, the amount Rita have= x+7

Then, Kareem has the amount = 2(x+7)

According to question

The total money three of them have = $93

Therefore,

x+x+7+2(x+7) = 93

2x + 7 + 2x + 14 = 93

4x+21= 93

4x= 93-21

4x= 72

x= 18

So,

Goran has $18 in his wallet

Rita have $ 18 +37= $25 in her wallet

Kareem has 2 × 25 = $50 in his wallet

To learn more about basic algebra visit :

brainly.com/question/15167098

#SPJ10

If the total traveling time is 1 hour 8 minutes f the average speed is 45 km/h.

This is a problem from time and distance. We can solve this equation by following a few steps.

Let's assume the car travel in the city for t minutes and the average speed is v.

According to the question, the car travel outside the city for, (68- t) minutes as 1 hour 8 minutes is equal to 68 minutes.

As per the question, Outside the city, it travels at twice its former speed v.

Now, we can form an equation,  2 (15/t) =  72/(68- t).

Let's simplify the given equation. 30/t = 72/(68- t)

Or, 72t = 30(68- t)                 [cross multiplication]

Or, 72t = 2040 - 30t

Or, 102t = 2040                    [add with +30t both sides]

Or, t = 2040/102    

Or, t = 20                              [dividing by 102 both sides]

Therefore we can conclude that the average speed ( km/h) is (15×60) / 20 = 45 km/h.

To learn more about distance and time visit,

brainly.in/question/23588569

#SPJ9

First item= $159.55

Chair= $49.75

Cubes= $29.87

Lamp= $19.78

Rounding the individual cost to the nearest $10, we get:

First item= $160

Chair= $50

Cubes= $30

Lamp= $20

The total cost will be:

$160+$50+$30+$20= $260.

The answer is: $ 260.

Volume = Area of the base * height

Area of the base = (7 * 6) / 2

Area of the base = 42/2

Area of the base = 21ft^2

Volume of the prism = 21 * 13

Volume of the prism = 273 ft^3 The thi

The area of a rectangle is:

where w is the width and l is the length. Plugging the values we have and solving for w:

Therefore the width is 85 meters.

Given the expression:

-8 + 12x + 7x + 12

Let's simplify the expression.

To simplify the expression, combine all like terms.

We have:

-8 + 12x + 7x + 12

= 12x + 7x + 12 - 8

Add 12x and 7x

= 19x + 12 - 8

Add 12 and -8

= 19x + 4

ANSWER:

19x + 4

The coordinates of the point are (-2,4)

A coordinate grid has two lines perpendicular to each other referred to as the Axis, labeled a bit like number lines. The horizontal axis is ordinarily called the x-axis. The vertical axis is ordinarily called the y-axis. The origin is the point where the x- and y-axis meets. The numbers on a coordinate lattice are utilized to find points. Each point can be identified by a requested combination of numbers; that's, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. The requested sets are composed in enclosures (x-coordinate, y-coordinate).

For the given point, the x-coordinate is -2 on the negative x-axis, and y - coordiante is 4 on the positive y-axis.

To know more about coordinates refer to the link https://brainly.com/question/27749090?referrer=searchResults.

#SPJ1

Answer: $25,272 is the answer hope it helps.

Answer:

25,272 dollars in total