binomial or not? X = number of heads from flipping the same coin ten times, where the probability of a head = ½

Answer:

The range here is 85

Step-by-step explanation:

Here, we want to calculate the range of the data

Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset

From the given data points, the highest value is 189, while the lowest value is 104

So the range is the difference between the two which is;

189-104 = 85

Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.

Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:

z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)

v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)

y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)

v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)

We can substitute the first equation into the second equation to eliminate z:

v3 = 0.75v2

(substitute v2 = 0.75z and v1 = 1)

0.75v2 = 0.75(0.75z + 100/3)

0.75v2 = 0.5625z + 25

(substitute z = 1.6y and v2 = v1 + 100/3)

0.75(v1 + 100/3) = 0.5625(1.6y) + 25

0.75v1 + 25/3 = 0.9y + 25

0.75v1 = 0.9y + 50/3

We can substitute the third equation into the fourth equation to eliminate y:

v2 = v1 + 100/3

(substitute y = 0.75z)

0.75z = 0.75(0.75y) + 100/3

z = y + 16/9

(substitute z = 1.6y)

1.6y = y + 16/9

y = 16/27

Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.

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Answer:

194.25meters

Step-by-step explanation:

The distance around the running track is calculated as:

Perimeter of the first semi circle + Perimeter of the second circle +50m + 50m

Semi circle has a length or diameter of = 30m

r = 30/2 = 15m

Perimeter of a circle = 2πr

Hence for a semi circle = 2πr/2 = πr

Perimeter of the first semi circle = π × 15

= 47.123889804m

Perimeter of the second semi circle is the same hence,

π × 15 = 47.123889804m

The distance around the running track

= 47.123889804m + 47.123889804m + 50m + 50m

= 194.24777961m

Approximately= 194.25meters.

To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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The volume of the solid is 64/3 cubic units.

To compute the volume of the solid, we integrate the area of the cross sections over the interval [0, 2] along the x-axis. The area of each cross section is given by the product of the height f(x) = 8x² and the width dx. Hence, we have:

V = ∫[0,2] f(x) dx

= ∫[0,2] 8x² dx

= [8(x³/3)] [0,2]

= 8(2³/3 - 0³/3)

= 8(8/3)

= 64/3

Therefore, the volume of the solid is 64/3 cubic units.

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Answer:

c approximately equals 3.31

Step-by-step explanation:

55%

Step-by-step explanation:

-60% off $60 is 24 and 55% off $50 is $22.5

The second bar graph is correct.

Answer:

15.6 inches

Step-by-step explanation:

Here we want to find the length of the missing side

Mathematically, we can use Pythagoras’ theorem

The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the missing side be x

18 is the side that faces right angle and this is the hypotenuse

Thus, we have ;

x^2 + 9^2 = 18^2

x^2 = 324 - 81

x^2 = 243

x = √(243)

x = 15.6 in

Answer:

Each Children gets = 15 strawberry

leftover for Mr.Cheek = 5 strawberry

Step-by-step explanation:

Given;

Mr.cheeks collects 95 strawberries to feed his family.

He provides the same number of strawberries to each of his 6 hamster children.

To Find;

After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself

Solve;

Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children

we have to divide to see how much each children gets

95/6 = 15 with 5 remainder.

Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself

[RevyBreeze]

Answer:

\(x \sqrt[12]{ {x}^{5} } \)

Step-by-step explanation:

\( \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } \)

\( {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } \)

The value of the missing angle 1 is 59⁰.

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

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The rate of change of the area of circle with respect to radius is: 8π.

The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.

Now,

Area of a circle having radius (=r) is given by: A = πr²

The rate of change of area of the circle will then be given by:

\(\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)\)​

For r = 4, \(\frac{dA}{dr}=2\pi(4)=8\pi\)

Hence, the rate of change of area of the circle when the radius is 8π.

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Answer:

4 or 7

Step-by-step explanation:

First job: 1 penny

Second job: Double the first one, 2*1, so 2

Third job: Double the second job, 2*2, so 4

On the third job you make 4 pennies. Overall you make 1+2+4=7. I'm not sure if you mean just the third job, or after the third job. I put both answers just in case.

To determine the payment for the third job, we need to find the payment for the second job, as the payment for the third job will be double that of the second job.

The payment for the first job is 1 penny. The payment for the second job will be double the payment for the first job, which is 2 pennies.

Therefore, the payment for the third job will be double the payment for the second job, which is 4 pennies.

This situation is an example of exponential growth, where the quantity being measured increases at a constant percentage rate with respect to time or some other independent variable.

Exponential growth is commonly seen in many real-world situations, such as population growth, compound interest, and the spread of diseases.

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Answer:

Option c - 67.5

Step-by-step explanation:

Base= 15

Height = 9

Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet

Answer:

0.000385

Step-by-step explanation:

The exponent is -4, making it 10 to the power of negative 4. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 4 times

Answer:

20% loss.

Step-by-step explanation:

Suppose the cost of each banana is $1

Then cost of 12 = $12.

You sell 15 bananas for  $12, therefore the price of each banana is 12/15

= $0.80.

So the loss percent is  (1 - 0.80) * 100

= 20%.

The correct congruent statement are as follows:

The triangle ABC and PQR are congruent triangle.

Therefore,

ΔABC ≅ ΔPQR

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Therefore,

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

Hence,

AB ≅ PQ

AC ≅ PR

BC ≅ QR

Therefore, the correct congruent statement are as follows:

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The bracket makes an angle of approximately 51.48° degrees with the wall.

First, we can use the Pythagorean theorem to find the distance between the end of the bracket and the wall:

\(d = \sqrt{((3.2 ft)^2 - (2.5 ft)^2) }\)≈ 1.99 ft

Now we can use the definition of the tangent function to find the angle x:

tan(x) = opposite / adjacent = 2.5 ft / 1.99 ft

Taking the arctangent of both sides, we get:

x = tan⁻¹(2.5 ft / 1.99 ft) ≈ 51.48°

Therefore, the bracket makes an angle of approximately 51.48° degrees with the wall.

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The image of the point (-1, 3) is (1, 1).

A translation is a transformation that moves every point in a figure the same distance in the same direction.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

Pint( -1, 3).

Translating unit = 2 units down

According to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, move it to your new x-coordinate, and then take the opposite of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] = (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] =(x, y) → (y, -x)

and, 180°-rotation = (x, y) → (-x, -y)

Thus, the 270°-counterclockwise rotation [90°-clockwise rotation] will be

[-1, 1] moves to [1, 1].

Hence, the translation is (1, 1).

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The correct answer is "a." Static positioning which is positive essentially the same as not using any CSS positioning at all.

The correct answer to your question is: a. Static positioning is essentially the positive same as not using any CSS positioning at all. Static positioning is the default positioning for HTML elements, and elements with static positioning remain in their normal flow on the page.

CSS aims to differentiate between content and presentation, including layout, colors, and fonts. This separation can improve the accessibility of content; provides more flexibility and control in terms of presentation features; Have multiple websites share the same style by specifying the relevant CSS in separate .css files. This reduces the complexity and overlap of the content and caching of css files to improve the page speed of the page displaying the data and its formatting.

Separation of text and content also allows the same page to be written in different formats on screen, print, voice (in voice-based browser or screen reader), and Braille Haptic-based devices. CSS also has resize rules if the content is being accessed from a mobile device.

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Answer:

{A) X=5} {B) X=2.75}

Step-by-step explanation:

A) (2)4x-1/2=x+7(2) - multiply each side by denominator

4x-1=x+14

-x + 1 -x +1

3x=15

÷3. ÷3

x=5

B) (2)3x+2=2x+13/2(2)

6x+2=2x+13

-2x -2. -2x -2

4x=11

÷4. ÷4

x=2.75

Answer:

x = 7.5 , x = 1

Step-by-step explanation:

(a)

\(\frac{4x-1}{2}\) = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7)

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = 7.5

(b)

3x + 2 = \(\frac{2x+13}{3}\) ( multiply both sides by 3 to clear the fraction )

3(3x + 2) = 2x + 13

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

The time in hours is 1.38 hours and the time in minutes is 82.8 hours.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

We are given that speed is 65 miles per hour and distance is 90 miles.

We know that

Speed = Distance / Time

∴ Time = Distance / Speed

Substitute the given values in above equation:

∴ Time = 90/65 = 1.38 hours

Also, 1 hour = 60 minutes

Convert the above time to minutes.

∴ Time = 1.38 × 60 = 82.8 minutes

Thus, the time in hours is 1.38 hours and the time in minutes is 82.8 hours.

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Changing any of these factors will impact the others. Increasing the sample size generally results in more accurate estimates, while increasing the desired confidence level or decreasing the acceptable sampling error requires a larger sample size.

Sample size refers to the number of individuals or observations included in a study or experiment. It is a crucial component of research design because it determines how much data can be collected and analyzed, as well as the precision and accuracy of the results.

Sampling error is the difference between the results obtained from a sample and the results that would have been obtained if the entire population had been surveyed. It is a measure of the variability between the sample estimate and the true population parameter.

In the given question,

The sample size, desired confidence level, and acceptable sampling error are all interrelated factors in statistical sampling. Changing any of these factors will have an impact on the others.

First, let's define each factor:

Now, let's discuss the effects of changing each factor:

Sample size: Increasing the sample size generally results in a more accurate estimate of the population parameter. This is because a larger sample size reduces the effect of random variability and increases the precision of the estimate.

Confidence level: Increasing the desired confidence level requires a larger sample size to achieve the same level of precision. This is because a higher level of confidence requires a wider confidence interval, which in turn requires more data points.

Sampling error: Decreasing the acceptable sampling error requires a larger sample size to achieve the same level of precision. This is because a smaller sampling error requires a narrower confidence interval, which in turn requires more data points.

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The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                  = 6x

According to the question,

                                           4x + 32 = 6x

                                       ⇒ 6x - 4x = 32

                                       ⇒  2x = 32

                                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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How many triangles exist with the given side lengths: C) More than one triangle exists with the given side lengths.

In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two side lengths of a triangle must be greater than or equal (≥) to the third side of the triangle.

Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < n < b + c

Where:

n, b, and c represent the side lengths of this triangle.

4 + 4 > 7 (True).

4 + 7 > 4 (True).

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Complete Question:

How many triangles exist with the given side lengths?

4m, 4m, 7m

A) No triangle exists with the given side lengths.

B) Exactly one unique triangle exists with the given side lengths.

C) More than one triangle exists with the given side lengths.

Answer:

\(5\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

213.36

Step-by-step explanation:

520.4 x 0.41 = 213.36

Answer:

#2

Step-by-step explanation:

because the letters match up for the sides of each triangle

Answer:

2/4 or 1/2

Step-by-step explanation:

The solution is, 1/16 is the probability that you land on blue on your first spin and on yellow on your second spin.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

There are four (4) colors to choose from.

The number of sample space is equal to 4.

With the condition given in this item, the probability of landing on blue on the first spin is equal to 1/4.

Similarly, the probability of landing on yellow on the second spin is 1/4.

so, we get,

           P = (1/4)(1/4)  

             P = 1/16

Answer: 1/16 is the probability that you land on blue on your first spin and on yellow on your second spin

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complete question:

A spinner can land on either red, blue, green, or yellow (the wedges are the same size). you spin twice. what is the probability that you land on blue on your first spin and on yellow on your second spin?