If a fair coin is tossed 7 times, what is the probability, rounded to the nearest thousandth, of getting at least 4 tails ?

The formula that Steve can use to determine the height of the rectangular prism is given as follows:

Height = Volume/(length x width).

The formula for the volume of a rectangular prism is dependent on the height, thus it is used to solve for the height.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

To obtain the height, we must solve the above formula for the height, isolating the height, with the length and the width dividing on the other side, as they are inverse operations to the multiplication, as follows:

Height = Volume/(length x width).

More can be learned about the volume of a rectangular prism at https://brainly.com/question/22070273

#SPJ1

The plasma television is selling for $425 after the 15% discount.

What is the Selling price and cost price?

The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.

The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.

If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:

Selling price = Original price x (100 - discount%) / 100

In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:

Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425

Hence, the plasma television is selling for $425 after the 15% discount.

To learn more about Selling price and cost price, Visit

https://brainly.com/question/26008313

#SPJ1

Step-by-step explanation:

when x=10

3x+5y=20

3×10+5y=20

30+5y=20

5y=20-30

5y=-10

y=-10/5

y=-2

After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given expression,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2

so, we know that (a) power -1 could be 1/a .

similarly,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2  =  1  /  [tex]a^{20}[/tex] [tex]c^{2}[/tex][tex]d^{2}[/tex][tex]e^{6}[/tex]

Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .

To learn more about expression from the given link.

brainly.com/question/1859113

#SPJ1

A company can use 50 plots of lands for buildings.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Metropolis requires that for every 5 plots or land used for buildings.

2 plots of land must be left for green space.

A company bought 70 plots of land.

To find the number of green plots:

First, we find the number of green plots.

Applying division operation,

70 ÷ (5 + 2)

= 70 ÷ 7

= 10

Now, the number of green plots,

10 x 2 = 20 green plots.

Subtracting the number of green plots to total number of plots,

70 - 20

= 50 plots.

Therefore, 50 plots can be used for buildings.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

The properties that are applied is A) Addition property of equality and division property of equality

Given equation 3 x -6 =12

Apply addition property of equality

Adding '6' on both sides , we get

                      3 x - 6 + 6 = 12 +6

                      3 x  = 18

Apply Division property of equality

Dividing '3' on both sides , we get

Applying division

3x / 3 = 18/3

on simplification , we get

                     x = 6

The solution of the given equation  is x =6

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Answer:

C is your answer

correct if I'm wrong

Step-by-step explanation:

Equation of the horizontal line is given by y = k, where k is any value on the y-axis.

Answer:

C) There is no solution

Step-by-step explanation:

2x + 3y = -60

2x + 3y = 120

There is no number that I can substitute for 2x and 3y and get two different answers (60 and 120)

2x + 3y = -60

2x + 3y = 120 ⇒ multiply all the way through by -1 ⇒ -2x -3y = -120

Now add the two equations together

2x + 3y = -60

-2x -3y = -120

        0 = -180  This is a false statement so there is no solution.

Answer:

-----------------------------

Current population is 370000 people.

Growth rate is 6.25%.

The population after 8 years will be:

Answer:

6x+48

Step-by-step explanation:

u multiply what is in the bracket by 6

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{In order to solve for this particular equation, you have to DISTRIBUTE 6}\\\text{within the PARENTHESES}}[/tex]

[tex]\text{REMEMBER: if you have a variable by itself, it is understood to be an invisible 1}[/tex]

[tex]\text{Anywho! Let us answer your given question}[/tex]

[tex]\mathsf{6(x + 8)}[/tex]

[tex]\mathsf{= 6(x) + 6(8)}[/tex]

[tex]\mathsf{= 6x + 48}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{6x + 48}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

238

14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..

Answer:

I have provided the answers on the original image you provided.

Step-by-step explanation:

For f(x) = -2x² + 8x + 1

To find the y-intercept, set x = 0 and determine the value for f(x). This will work out to +1 so the y-intercept is (0, 1)

To find the vertex y-value. Note that we are given the x value as 2. Substitute 2 for x in the function expression. This will give you a value of 9. So the vertex is (2, 9)

The coefficient of x² is negative so it will be a maximum vertex and therefore opens downward

For g(x) = 3x² + 6x -4

To find the x value of the vertex, differentiate with respect to x and set this first derivative equal to zero

First derivate of g(x), g'(x) = 6x + 6

Set 6x + 6 =0 to get x = -1

The axis of symmetry is nothing but the x value of the vertex and therefore x = -1

The coefficient of x² is positive. So the vertex will be a minimum and it will be an upward opening parabola

I hope that helps

By evaluating the given formula, we will see that the fifth term of the sequence is 32.

Here we have a sequence defined by the formula below:

aₙ = 2ⁿ

So that formula gives the n-th term of the sequence. To find the fifth term, we just need to replace the value of n by the value 5 in the formula above.

We will get.

a₅ = 2⁵  

a₅ = 32

The fifth term of the sequence is 32.

Learn more about sequences at:

https://brainly.com/question/6561461

#SPJ1

An example to support Fabian statement is that 25% of 100 is more than 10% of 100.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100

An example to support Fabian statement is that 25% of 100 is more than 10% of 100. In this case, 25 it more than 10.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100. In this case, -25 is less than -10.

Learn more about percentages on

brainly.com/question/24877689

#SPJ1

The true statement is,

⇒ The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Now,

Since, The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Let two points on the graph are (2, 10) and (4, 16).

Hence, The slope of the line = (16 - 10) / (4 - 2)

                                             = 6/2

                                             = 3

Thus, The equation of line for the graph is,

⇒ y - 10 = 3 (x - 2)

⇒ y - 10 = 3x - 6

⇒ y = 3x - 6 + 10

⇒ y = 3x + 4

For 6 kilometer, the cost is find as;

Substitute x = 6;

⇒ y = 3x + 4

⇒ y = 3 × 6 + 4

⇒ y = 22

Therefore, The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

The total number of workers in that company is 3,400 workers.

To calculate the total number of workers in this company we must take into account what is the percentage of workers and the number of workers that we know:

25% = 850 workers (not women).

In accordance with the above information, we can state that we know a quarter of all the workers, that is, if a quarter of the workers equals 850 workers, 100% of the workers equals 850 * 4 as shown then:

850 * 4 = 3,400

So, the total number of workers would be 3,400, of which 850 are men and 2,550 are women.

Learn more about workers in: https://brainly.com/question/29452935

#SPJ1

Check the picture below.

Answer:

-------------------------------

Let the time Kyle ran be x, then he walked for (x + 1) hours.

He ran 12x km and walked 5(x + 1) km thus in total 42 km.

Set up and equation and solve for x:

Total time was:

Answer:

The amplitude of the function y=2*sin(x) is 2. The amplitude is the maximum value of the function, and in this case, the maximum value of y is 2.

The period of the function y=2*sin(x) is 2π. The period is the distance in the x-axis between two points at which the function has the same value. And in this case, the function reaches the maximum value of 2 at x = π/2, and the next time it reaches the same value is x = 3π/2, which is a distance of 2π in the x-axis.

The function type of the table is linear function

From the question, we have the following parameters that can be used in our computation:

X 0 1 2 3 4 5

Y 2 5 8 11 14 17

From the above table, we can see that:

The constant increment means that the function type is a linear function

Read more about linear function at

https://brainly.com/question/15602982

#SPJ1

-11 because

(gof)(x) = 18x2 - 123x + 193. Substitute x = 4. (gof)(4) = 18(4)2 - 123(4) + 193. (gof)(4) = -11. Solution: The solution is (gof)(4) = -11.

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{8}[/tex] - 2[tex]\frac{6}{8}[/tex]

I can rewrite3 [tex]\frac{3}{8}[/tex]

2 [tex]\frac{8}{8}[/tex] + [tex]\frac{3}{8}[/tex]   ([tex]\frac{8}{8}[/tex] means the same as 1)

2[tex]\frac{11}{8}[/tex] - 2 [tex]\frac{6}{8}[/tex] = [tex]\frac{5}{8}[/tex]

Answer:

9

Step-by-step explanation:

9 is the smallest number that 3 and 9 can both go into.

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex]

What is volume of cylinder ?

volume of cylinder is product of pi and square of radius and height of the cylinder.

Given,

height of cylinder = 10 feet

base of radius of cylinder = 4 feet.

Surface area of cylinder is

A=2πrh+2πr2

A = π (2rh+2r2)

A = π (2*4*10 + 2* 4*4)

A =π(80+32)

A = 112 π [tex]ft^{2}[/tex] .

Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex].

To learn more about Volume of cylinder from the given link.

https://brainly.com/question/16134180

#SPJ1

Answer:

x = 35

Step-by-step explanation:

90 - 55 = 35

The equation of the perpendicular line is y = -5x - 8

From the question, we have the following parameters that can be used in our computation:

y = 1/5x - 11

Also, from the question;

We have the following points

Point = (0, 8) i.e.  (x, y) = (0, 8)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 1/5

This means that the slope is 1/5

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -5

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = -5

(x₁, y₁) = (0, -8)

So, we have

y = -5(x - 0) - 8

Evaluate

y = -5x - 8

Hence, the line has an equation of y = -5x - 8

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

Answer:

3rd one is the answer

Step-by-step explanation:

x=7*2/5

Answer:

  23. (1, 4)

  24. (1, 4)

  25. graphing calculator

Step-by-step explanation:

You want to solve this system of equations by graphing and by substitution.

The graph of the system of equations is attached. The solution is ...

  (x, y) = (1, 4)

Using the second equation, we can write an expression for y:

  y = 2x +2

Substituting that into the first equation gives ...

  x + (2x +2) = 5

  3x = 3 . . . . . . . . subtract 2

  x = 1

Then ...

  y = 2(1) +2 = 4

The solution is (x, y) = (1, 4).

We like the graphing calculator solution, as it gives the answer as quickly as we can type the equations.

If we were constrained to drawing the graph by hand, we would prefer the substitution solution.

<95141404393>

your slope is right on the money, now the y-intercept is where the y-axis gets intercepted or namely gets crossed, Check the picture below.