A fair die is rolled three times. A 4 is considered "success," while all other outcomes are "failures." Find the probability of 3 successes.

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Answer:

6. 180= (90+30)/5              x=12

7. 180= (33+29)/2               x=31

8. 180= (132+21)/3             x=51

9. 180= 4x                           x=45

10.180= (x-2)+x+72             x=55

11.180= 20x                         x=9

12.180= (3.5x+2.5x)+90     x=15

The first diagram shows the parallel lines cut by a transversal.

According to the statement

We have to explain all about the parallel lines cut by a transversal.

So, For this purpose, we know that the

A transversal line is a line that passes through two lines in the same plane at two distinct points.

And

Parallel lines are lines in a plane that are always the same distance apart.

From the given information:

In the given pictures we see that there are the presence of the two parallel lines and a one line is passes through these lines and cut the two parallel lines and there is a formation of the some angles in it.

And by property and the behavior of the transversal line to the parallel lines.

The diagram in first option shows a perfect lines that must be parallel lines cut by a transversal.

So, The first diagram shows the parallel lines cut by a transversal.

Learn more about parallel lines and transversal here

https://brainly.com/question/24607467

#SPJ9

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

x = 45/13, also x = 3 6/13

Step-by-step explanation:

is = equal sign

of = multiply

Equation:

\(x = 1/3 (45-10x)\)

To do this, you could easily do communitive property of multiplication, but to make it more understandable I will use reversing.

1. Simplify. Multiply - Divide.

\(x=\frac{45-10x}{3}\)

2. Factor out common term 5.

\(x=\frac{5(9-2x)}{3}\)

3. Multiply both sides by 3.

\(3x=5(9-2x)\)

4. Expand.

\(3x=45-10x\)

5. Add 10x to both sides.

\(3x+10x=45\)

Simplify. 3x + 10x = 13x.

\(13x=45\)

Divide both sides by 13.

\(x= \frac{45}{13}\)

Mixed Number = \(x=3\frac{6}{13}\).

You can also use distributive property. The formula for this problem is: \((\frac{1}{3} * 45) - (1/3*10x)\).

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

Answer:

67.5

Step-by-step explanation:

Remember that

If two triangles are similar, then the ratio of their corresponding sides is proportional

therefore

The correct graph that represents the solution set of the system of inequalities is in Option(b).

Inequality is a  statement of an order relationship (greater than, greater than, or equal to, less than, or less than or equal to) between two integers or algebraic expressions in mathematics.

The given system of inequalities are,

y < -3x - 2

y ≤ x - 2

We have to select the graph that represents the solution set of the system of inequalities.

y < -3x - 2

Let, y = -3x - 2

Now, plot the graph of the line y = -3x - 2 with a Dotted line ( as < is a strict inequality).

y ≤ x - 2

Let, y = x - 2

Now, plot the graph of the line y = x - 2 on the graph.

The area between the two lines of inequalities on the graph represent the solution set.

Upon comparison with the graphs in the options, the correct graph is present in Option(b).

To learn more about the solution set of inequalities visit:

https://brainly.com/question/5561399

#SPJ9

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

Learn more on length : https://brainly.com/question/23008020

#SPJ1

9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2

Answer:

5.3

Step-by-step explanation:

It will take a time 0f 5.5 hours to pick 40 bushels of apple if they worked together.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

Amount of bushels picked by Maria in 10 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/10 = 4

Amount of bushels picked by Kayla in 12 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/12 = 3.333

Amount of apple picked by both Maria and Kayla in 1 hour if they worked together = 4 + 3.333 = 7.333

Let x be the time taken to pick 40 bushels of apple by both.

Using proportional concept,

x / 40 = 1 / 7.333

x = 40 / 7.333

x = 5.4548 ≈ 5.5 hours

Time taken if they both worked together is 5.5 hours.

To learn more about Proportions, click :

https://brainly.com/question/7066283

#SPJ2

Answer:

Step-by-step explanation:

f

(

x

)

=

(

x

−

1

)

(

x

−

(

3

−

i

)

)

(

x

−

(

3

+

i

)

)

f

(

x

)

=

(

x

−

1

)

(

x

2

−

x

(

3

+

i

)

−

x

(

3

−

i

)

+

9

+

1

)

f

(

x

)

=

(

x

−

1

)

(

x

2

−

6

x

+

10

)

f

(

x

)

=

x

3

−

x

2

−

6

x

2

+

16

x

−

10

Answer:

  ∠Q

Step-by-step explanation:

The theorem tells you the largest angle is opposite the longest side. The longest side in triangle PQR is PR, which is opposite angle Q.

The largest angle is angle Q.

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

Randall now has a negative balance

Step-by-step explanation:

Answer:

All are false I believe :)

Step-by-step explanation:

3 x 18 = 54

$75 - 3(-$18)= 129

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

For more such questions on cylinder

https://brainly.com/question/28247116

#SPJ8

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

Learn more about  Law of Cosines at https://brainly.com/question/30766161

#SPJ1

Answer:

4,000

600

160

12

Step-by-step explanation:

When using partial products, you basically break up the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,000 x 4

600 x 4

40 x 4

3 x 4

The partial products of the multiplication problems are,

4000

600

160

12

The answer will be 4,772.

The partial products of the multiplication problems are,

4000, 2400, 160 and 12

Multiplication is a method of finding the product of two or more numbers

When using partial products, you basically break the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,643 can be written as 1000+600×40+3.

Now multiply with 4.

(1000+600×40+3)×4

1,000 x 4+600 x 4+40 x 4+3 x 4

4000+2400+160+12

Hence the partial products of the multiplication problems are,

4000, 2400, 160 and 12 and The answer will be 4,772.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

The output value of h(-7) in the function h(x) = 2x² - 7x + 4 is 151.

A function is simply a relationship that maps one input to one output.

Given the function in the question

h(x) = 2x² - 7x + 4,

Find h(-7)

To find h(-7), we substitute -7 for x in the equation of h(x) and simplify:

h(x) = 2x² - 7x + 4

Plug in x = -7

h(-7) = 2(-7)² - 7(-7) + 4

h(-7) = 2(49) + 49 + 4

h(-7) = 98 + 49 + 4

h(-7) = 151

Therefore,the output value of h(-7) is equal to 151.

Learn more about functions here: https://brainly.com/question/28783997

#SPJ1