what is the probability of tossing at least 1 tail of you toss 3 coins at once

Answer:

c. -1/2x + y = -10

Step-by-step explanation:

[tex] - \frac{1}{2} x + y = - 10 \\ y = \frac{1}{2} x - 10[/tex]

Changing the order of the equation, you can verify the coefficient of x is the same when y is isolated.

In slope-intercept form, the coefficient of x, or the m in y=mx+b, is the slope or gradient.

After converting each given equation to the slope-intercept form, it is clear that both the original equation Y=1/2x-10 and the option c, -1/2x + y = -10, have the same slope of 1/2.

To determine which equation has the same slope as Y=1/2x-10, we rewrite each given equation in slope-intercept form (y = mx + b), where m represents the slope.

Based on this analysis, the equations y = 1/2x - 10 and -1/2x + y = -10 both have the same slope of 1/2. Therefore, the correct answer is option c.

Answer:

it repeating not terminating

Step-by-step explanation:

this is because after 3 numbers behind the decimal

and if the number keeps going it's repeating

Answer:

3/26

Step-by-step explanation:

The face cards are: Jack, Queen, and King. There are only three face cards for each of the 4 suits.

Among the 4 suits, two of them are red: diamonds and hearts. And, each of these two has 3 faces. That means that in a deck of 52 cards, there are 2 * 3 = 6 cards that are both red cards and face cards.

Probability is (# times specific event can occur) / (# times any general event will occur).

Here, the specific event is drawing a card that is both red and a face card (of which there are 6 ways), and the general event is drawing a card (of which there are 52 ways):

P(draw a card that is both red and a face card) = 6/52 = 3/26

Answer:

3/26

Step-by-step explanation:

In a deck of 52 cards, there are two red suits: Diamonds and Hearts

There are 6 red face cards:

2 red King

2 red Queen

2 red Jack

P(red face card) = 6/52 = 3/26

Answer:

36 units

Step-by-step explanation:

Split the parallelogram into 3 shapes. Two right triangles and one rectangle.

Find the length of all the sides.

Triangle one:                                                 Triangle two:

Leg 1: 8                         a^2+b^2=c^2            Leg 1: 8                  a^2+b^2=c^2

Leg 2: 6                      8^2 + 6^2 = c^2         Leg 2: 6                  8^2 + 6^2 = c^2

Hypotenuse: ?             64 + 36 = c^2           Hypotenuse: ?           64 + 36 = c^2

                                        100=c^2                                                      100=c^2

                                         c=10                                                               c=10

Hypotenuse One: 10 units

Hypotenuse Two: 10 units

Base One Length: 8 units

Base Two Length: 8 units

Add all these numbers up and your answer would be 36 units.

Answer:

B

Step-by-step explanation

a squared plus b squared equals c squared.

16 plus 144 equal 160.

now square 160

Answer:

discriminant

Step-by-step explanation:

Discriminant is the expression under the radical in a quadratic equation formula that indicates the nature of the solutions real or complex, rational or irrational , single or double root in other words

A discriminant can be said to be used to indicate the nature of the result that a quadratic equation when solved will yield and this can be : rational or irrational , complex or real, single or double roots. and it also indicates by how many  it would be  

You have not given the data for which you like to find the median.

I will however explain how you can find the median of a given set of data, and you can apply the same method to your problem.

Step-by-step explanation:

Median, just like it sounds, is simply the middle value of a given set of data.

Given a set of numbers:

a, b, c, d, e, ..., z.

To find the median, first,

- Arrange the numbers a, b, c, d, e, ..., ..., z in an ascending or descending order.

- Count the whole numbers, if it is odd, you have a middle number, and that is the median.

If it is even, you have two middle numbers, then the median will be the addition of those two numbers divided by two.

Example: To find the median of

4, 5, 2, 1, 2, 6, 7, 3, 5.

First, we arrange in ascending:

1, 2, 2, 3, 4, 5, 5, 6, 7

Next, we locate the middle number(s), which is 4.

The MEDIAN is 4 .

Example 2: To find the median of

9, 4, 5, 2, 1, 2, 6, 7, 3, 5.

First, we arrange in ascending:

1, 2, 2, 3, 4, 5, 5, 6, 7, 9

Next, we locate the middle number(2), which are 4 and 5.

The median = (4 + 5)/2

= 9/2

= 4.5

The MEDIAN is 4.5.

Answer: Yes.

Step-by-step explanation: It is very rare, but is indeed possible.

Answer:

20

Step-by-step explanation:

If she has 68 lollipops, and she had 8 remaining, we should subtract the two.

68 - 8 = 60

So now we know she gave away 60 lollipops in total.

We know she gave 3 to each of her friends, so we would divide 60 by 3.

60/3 = 20

So she has 20 friends.

Answer:

.25mm a week

Step-by-step explanation:

There are 52 weeks in a year.

13/52=.25

If Toenails grow about 13 millimeters per year as a result .25 millimeters will grow in one week.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that Toenails grow about 13 millimeters per year.

As we know there are 52 weeks in a year.

Toenails growth in one  week is obtained by dividing the growth per year by the total number of weeks,

= 13/52

=.25

Thus, if Toenails grow about 13 millimeters per year as a result .25 millimeters will grow in one week.

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Considering it's surface area, it is found that [tex]48\pi \text{ft}^2[/tex] of vinyl was used to make the exercise ball.

The surface area of a cylinder of radius r and height h is given by:

[tex]S = 2\pi r(r + h)[/tex]

In this problem, we have that r = 3 ft and h = 5 ft, hence the surface area in ft² is given by:

[tex]S = 2\pi r(r + h) = 2\pi \times 3(3 + 5) = 48\pi[/tex]

Hence, [tex]48\pi \text{ft}^2[/tex] of vinyl was used to make the exercise ball.

More can be learned about the surface area of a cylinder at https://brainly.com/question/26702574

Answer: 12 weeks

Step-by-step explanation:

125-65=60

60/5=12

Answer:

I think it is the third:

6 + 4 n = 18

Answer:

The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.

Step-by-step explanation:

The diameter of a basketball is approximately given to be 9.5 inches.

The radius of the basket ball is given by [tex]\frac{9.5}{2}[/tex] = 4.75 inches.

The volume of the basket ball is given by = [tex]\frac{4}{3}[/tex] × π × [tex]radius^{3}[/tex] = 449.1012 cubic inches.

The diameter of a tennis ball is approximately given to be 2.5 inches.

The radius of the tennis ball is [tex]\frac{2.5}{2}[/tex] = 1.25 inches.

The volume of the tennis ball is given by = [tex]\frac{4}{3}[/tex] × π × [tex]radius^{3}[/tex] = 8.1845 cubic inches.

Ratio between the volume of the basketball and tennis is given by [tex]\frac{449.1011}{8.1845}[/tex] = 54.87.

Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.

Final answer:

To find how many times greater the volume of a basketball is than a tennis ball, calculate the volumes using the sphere volume formula and divide the basketball's volume by the tennis ball's volume, which yields approximately 54.86 times greater.

Explanation:

To determine how many times greater the volume of a basketball is compared to a tennis ball, we start by calculating the volume of each using the formula for the volume of a sphere, V = 4/3 π r3, where r is the radius of the sphere. The radius is half the diameter, so for the basketball, r = 9.5 inches / 2 = 4.75 inches, and for the tennis ball, r = 2.5 inches / 2 = 1.25 inches.

The volume of the basketball is approximately
Vbb = 4/3 π (4.75)3 = 448.74 cubic inches. The volume of the tennis ball is approximately
Vtb = 4/3 π (1.25)3 = 8.18 cubic inches.

To find out how many times greater the volume of the basketball is, we divide the volume of the basketball by the volume of the tennis ball:
448.74 cubic inches / 8.18 cubic inches ≈ 54.86. Therefore, the volume of a basketball is approximately 54.86 times greater than that of a tennis ball.

To create a consistent and independent system of equations with the solution (-1, -4), we generate two linear equations: 2x - 3y = 10 and 5x + 4y = -21, both of which are satisfied by the given solution.

To construct an independent and consistent system of equations that has the solution (-1, -4), we can create two distinct linear equations where the point (-1, -4) satisfies both.

As an example, we choose two arbitrary linear equations, ensuring that they are not multiples of each other, and that they are satisfied by x = -1 and y = -4.

The general form of a linear equation is Ax + By = C.

For our first equation, we could have 2x - 3y = 2(-1) - 3(-4) = 10. To ensure the second equation is not a multiple of the first, we could choose 5x + 4y = 5(-1) + 4(-4) = -21.

The system of equations would then be:

Answer:

Cylinder: Radius: 6 in, height: 6 in

Step-by-step explanation:

See the attached image for a visual explanation!

Answer:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Step-by-step explanation:

Mean SAT scores = 1026

Standard Deviation = 209

Mean ACT score = 20.8

Standard Deviation = 4.8

We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.

The formula to calculate the z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.

z-score for junior scoring 860 in SAT exam will be:

[tex]z=\frac{860-1026}{209}=-7.59[/tex]

z-score for junior scoring 16 in ACT exam will be:

[tex]z=\frac{16-20.8}{4.8}=-1[/tex]

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Answer:

X/18=6/4

Step-by-step explanation:

4hrs=6 logs

18hrs=x

4x=18×6

Which can also be written as

[tex] \frac{x}{18 } = \frac{6}{4} [/tex]

Answer:

Coordinate plane

Step-by-step explanation:

The two dimensional plane made up by the intersection of a vertical (y-axis) and a horizontal (x-axis) perpendicular lines that cross each other once at the zero point mark known as the origin is called the Cartesian plane or coordinate plane. The origin is labeled letter O with coordinates 0,0

The Cartesian plane is used to plot graph lines and points so as to present algebraic ideas in a visual form and to form as well as interpret ideas in algebra.

Answer: it will take pipe c 7.2 hours to fill the pool.

Step-by-step explanation:

Let t represent the number of hours it will take pipe c to fill the pool alone. It means that the rate at which pipe c fills the pool per hour is 1/t

Pipe b can fill a pool in 9 hours. It means that the number of hours it takes pipe b to fill the pool alone per hour is 1/9

By working together, they would work simultaneously and their individual rates are additive. When pipes b & c are both open, the pool can be filled in 4 hours. It means that the rate at which both pipes fill the pool per hour is 1/4. Therefore,

1/t + 1/9 = 1/4

(9 + t)/9t = 1/4

Cross multiplying, it becomes

4(9 + t) = 9t

36 + 4t = 9t

9t - 4t = 36

5t = 36

t = 36/5

t = 7.2 hours

Given:

ABC is a right triangle and AC = BC

The length of AB is [tex]AB=12\sqrt{2}[/tex]

We need to determine the length of each of the legs.

Length of AC and BC:

Let the length of AC and BC be x.

The length of AC and BC can be determined using the Pythagorean theorem.

Thus, we have;

[tex]AB^2=AC^2+CB^2[/tex]

Substituting the values, we have;

[tex](12\sqrt{2})^2=x^2+x^2[/tex]

Simplifying, we get;

[tex]288=2x^2[/tex]

Dividing both sides by 2, we get;

[tex]144=x^2[/tex]

Taking square root on both sides, we get;

[tex]12=x[/tex]

Thus, the length of each legs is 12 units.

Hence, the length of AC and BC are 12 units each.

Answer:

AC= 18 units for khan academy

Step-by-step explanation:

Answer:

      [tex]\dfrac{1}{15}[/tex]

Explanation:

The number of different ways in which the two armadillos would be at the ends of the row is 2:

                      [tex]P(2,2)=\dfrac{2!}{(2-2)!}=\dfrac{2}{0!}=2[/tex]

The number of different combinations in which two of the three aardvarks can sit at the ends of the row is P(3,2):

          [tex]P(3,2)=\dfrac{3!}{(3-2)!}=\dfrac{3\times 2\times 1}{1}=6[/tex]

Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.

Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

        [tex]P(5,5)=\dfrac{5!}{(5-5)!}=5!=5\times 4\times 3\times 2\times 1=120[/tex]

Thus, the probability that the two animals on the ends of the row were both armadillos or both aardvarks is equal to the number of favorable outputs divided by the total number of possible outputs:

      [tex]Probability=\dfrac{8}{120}=\dfrac{1}{15}[/tex]

Answer:

2/5

Step-by-step explanation:

2/5 1 1 1  1/4

A R R R A

2/20 or 1/10 is the odds that there will be an armadillo both ends

3/5 1 1 1 1/2

R A A R R

3/10 are the odds that there will be an aardvark on both ends and so you then have to add the two to get 4/10 or 2/5 which is the answer

Answer:

In a circle, interior angles that are not inscribed or central can be found using the formula < = larger arc + smaller arc / 2. So, in order to find <2, the formula would be <2 = 147 + 133 / 2, so 140.

Answer:

m < 2 is 140

Step-by-step explanation:

Answer:

x=4.36

this is rounded

Step-by-step explanation:

a^2 + b^2 = c^2

A^2 + 9^2 = 10^2

a^2 + 81 = 100

Then subtract 81 from each side

a^2 = 19

then you have to square root 19 and you get

x=4.3588989

Brainliest?

Final answer:

To simplify the expression, distribute the 5 to both terms inside the parentheses, combine like terms, and obtain the simplified expression 2x^2 + 23.

Explanation:

To simplify the expression 7x2 + 3 - 5(x2 - 4), we can distribute the 5 to both terms inside the parentheses:

7x2 + 3 - 5x2 + 20

Combining like terms:

2x2 + 23

So, the simplified expression is 2x2 + 23.

Answer:

x=13 y=18

Step-by-step explanation:

The value of x and y from the given triangle are 13 and 13√2 respectively.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, Adjacent is 13 units, opposite side is x units and hypotenuse id y units.

We know that tanθ=Opposite/Adjacent and cosθ=Adjacent/Hypotenuse

tan45°=x/13

1=x/13

x=13 units

cos45°=13/y

1/√2=13/y

y=13√2

Therefore, the value of x and y from the given triangle are 13 and 13√2 respectively.

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Answer:

c

Step-by-step explanation:

The graph represents the solution set is attached.

The value of x is 0 and y is 3.

Given that,

Equation; [tex]-x + 2y = 6 \ and \ 4x + y = 3[/tex].

We have to determine,

Which graph represents the solution set to this system of equations?

According to the question,

Equation; [tex]-x + 2y = 6 \ and \ 4x + y = 3[/tex].

Solving both the equation,

From equation 1,

[tex]-x+2y =6\\\\2y = x+6\\\\y= \dfrac{x+6}{2}[/tex]

Substitute the value of y in equation 2,

[tex]4x+y = 3\\\\4x + \dfrac{x+6}{2} = 3\\\\\dfrac{8x+x+6} {2}= 3\\\\{9x+6} = 3\times 2\\\\9x + 6 = 6\\\\ 9x = 6-6\\\\9x =0\\\\x = \dfrac{0}{9}\\\\x = 0[/tex]

And the value of y is,

[tex]-x+2y = 6\\\\-0+2y = 6\\\\2y = 6\\\\y = \dfrac{6}{2}\\\\y = 3[/tex]

Hence, The value of x is 0 and y is 3.

For more details refer to the link given below.

rainly.com/question/16208461

Answer:

41.9 cubic feet

Step-by-step explanation:

The formula for the volume of a cone is

V = 1/3πr^2h, where r=radius and h=height.

Diameter = 2*radius, so our radius is 4 ft. Plug these values in:

V = 1/3πr^2h

   = 1/3π4^2 * 2.5

   = 40π/3 cubic feet = about 41.9 cubic feet

The volume of a right circular cone with a height of 2.5 ft and a base diameter of 8 ft is approximately 41.9 cubic feet when rounded to the nearest tenth.

To find the volume of a right circular cone, we'll use the formula for the volume of a cone: V = (1/3) π r^2 h. First, we need to find the radius of the cone's base. Since the diameter is given as 8 ft, the radius (r) is half that value, so r = 4 ft.

The volume (V) is then calculated as follows:

Rounding to the nearest tenth, the volume is approximately 41.9 cubic feet.

7% at 6 years would best fit their payment option as they would then be paying $238.69 monthly and that is under the $250