you tossed a coin 100 times and get only 27 heads. do you have a reason to expect that the coin is unfair? explain g

To find the radius of the spinner, we'll first find the total area of the spinner and then use the formula for the area of a circle. Radius is defined as the length between the center and the arc of circle.

Here are the steps:
1. Determine the proportion of the sectors that do not move the token: There are 3 such sectors (remaining sectors) out of a total of 9 sectors. So, the proportion is 3/9 = 1/3.

2. Calculate the total area of the spinner: Since 1/3 of the spinner has an area of 14.6 square inches, we can find the total area by multiplying the area of non-moving sectors by 3.
Total area = 14.6 * 3 = 43.8 square inches.

3. Use the formula for the area of a circle to find the radius: The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. We'll solve for the radius (r) in this formula:
43.8 = πr^2

4. Divide both sides of the equation by π:
r^2 = 43.8 / π

5. Calculate r:
r = √(43.8 / π)

6. Round the result to the nearest tenth of an inch:
r ≈ 3.7 inches

So, the radius of the spinner is approximately 3.7 inches.

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For a 90% confidence level, the upper bound in number of licks of the confidence interval to reach the tootsie roll center of a tootsie pop is 271.261.

To find the upper bound of the confidence interval for the mean number of licks to reach the tootsie roll center of a tootsie pop, we can use the formula:

upper bound = sample mean + margin of error

where the margin of error is given by:

margin of error = z-score * standard error

The z-score for a 90% confidence level is 1.645 (obtained from a standard normal distribution table). The standard error is given by:

standard error = standard deviation / \(\sqrt{sample size}\)

Substituting the given values, we get:

standard error = 11 / \(\sqrt{64}\) = 1.375

So, the margin of error is:

margin of error = 1.645 * 1.375 = 2.261

Finally, the upper bound of the confidence interval is:

upper bound = 269 + 2.261 = 271.261

Therefore, with 90% confidence, we can say that the true mean number of licks to reach the tootsie roll center of a tootsie pop is less than or equal to 271.261 licks.

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Answer:

Median 1.5

Step-by-step explanation:

Answer:

Median is the most appropriate and the value is 1.5

Step-by-step explanation:

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

Here we have the quadratic equation:

f(x) = (x + 3)*(x + 5)

The first claim is: "The y-intercept is at (15, 0)."

This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.

The second claim is:

"The x-intercepts are at (–3, 0) and (5, 0)"

This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.

Third claim:

"The vertex is at (-4, -1)"

The middle value between the zeros is:

(-3 + (-5))/2 = -4

Evaluating the function in x = -4 we get the y-value of the vertex:

f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1

So the vertex is at (-4, -1), this claim is true.

The fourth claim is:

"The midpoint between the x-intercepts is at (4, 0)."

Which is false, we already saw that the midpoint between the x-intercepts is at x = -4

Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

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The area of the shaded region in terms of 'x' would be (25-\(x^{2}\)) square inches.

Area of a square = \(side^{2}\) square units

Side of the larger square = 5 inches

Area of the larger square = 5×5 square inches

                                          = 25 square inches

Side of smaller square = 'x' inches

Area of the smaller square = 'x'×'x' square inches

                                            = \(x^{2}\) square inches

Area of shaded region = Area of the larger square - Area of the white square

                                      = 25 - \(x^{2}\) square inches

∴ The expression for the area of the shaded region as given in the figure is (25-\(x^{2}\)) square inches

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Using Pythagorean theorem and the vertices given, the two triangle are similar

Two triangles are similar if and only if the ratios of their corresponding sides are equal. So, to determine if triangle ABC is similar to triangle XYZ, we need to compare the ratios of corresponding sides.

One way to do this is to calculate the lengths of the sides in both triangles and compare the ratios. For example, the length of side AB in triangle ABC can be found using the Pythagorean theorem:

AB = √((0-(-3))^2 + (10-6)^2) = √(3^2 + 4^2) = √25 = 5

Similarly, the length of side XY in triangle XYZ can be found:

XY = √((2-(-1))^2 + (7-3)^2) = √(3^2 + 4^2) = √25 = 5

Next, we can compare the ratios of corresponding sides AB and XY, BC and YZ, and AC and XZ. If the ratios are equal for all corresponding sides, then the triangles are similar.

In this case, we find that the ratios of corresponding sides AB and XY, BC and YZ, and AC and XZ are all equal, so triangles ABC and XYZ are similar.

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The maximum amount of salt ever in the tank will be lb / (1 +  \((gal/min) * e^{t + C}\) ), where t approaches infinity.

(a) To find the amount of salt in the tank after t minutes, we need to consider the rate at which brine enters the tank and the rate at which the solution leaves the tank.

Let's denote the amount of salt in the tank at time t as S(t).

Brine enters the tank at a rate of lb/gal, and the solution leaves the tank at a rate of gal/min. Therefore, the rate of change of the amount of salt in the tank is given by the following equation:

dS/dt = (lb/gal) - (gal/min) * (S(t) / gal)

This equation represents the rate of change of salt in the tank. It takes into account the incoming brine and the outflow of the solution.

To solve this differential equation, we can separate the variables and integrate them:

\(\int dS / [(lb/gal) - (gal/min) * (S / gal)] = \int dt\)

Integrating both sides gives:

\(ln |(lb/gal) - (gal/min) * (S / gal)| = t + C\)

Where C is the constant of integration.

By exponentiating both sides, we have:

\(|(lb/gal) - (gal/min) * (S / gal)| = e^{t + C}\)

Since the absolute value is always positive, we can drop the absolute value signs:

\((lb/gal) - (gal/min) * (S / gal) = e^{t + C}\)

Simplifying further:

\(S = (gal/lb) * [(lb/gal) - (gal/min) * (S / gal)] * e^{t + C}\)

Simplifying the expression inside the brackets:

\(S = lb - (gal/min) * S * e^{t + C}\)

Rearranging the equation:

\(S + (gal/min) * S * e^{t + C}= lb\)

Factoring out S:

S * (1 + (gal/min) * e^{t + C}) = lb

Solving for S:

\(S = lb / (1 + (gal/min) * e^{t + C})\)

(b) To find the maximum amount of salt ever in the tank, we need to consider the behavior of the expression \((gal/min) * e^{t + C}\) as t approaches infinity.

As t approaches infinity, the exponential term  \(e^{t + C}\) will dominate the expression, making it significantly larger. Therefore, the maximum amount of salt in the tank will occur when the term  \((gal/min) * e^{t + C}\)  is maximized.

Since the exponential function is always positive, the maximum value of  \((gal/min) * e^{t + C}\)  will occur when \(e^{t + C}\) is maximized. This occurs when t + C is maximized, which happens as t approaches infinity.

Therefore, the maximum amount of salt ever in the tank will be lb / (1 +  \((gal/min) * e^{t + C}\) ), where t approaches infinity.

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Answer:

Tori

Step-by-step explanation:

if youre making over 90 percent of your free throws, then any number (P) greater than 90 is the answer

Answer:

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Step-by-step explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13  + 5

- 3 x  = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

                            \(\frac{-3 x}{ -3} = \frac{18}{-3}\)

                             x =- 6

The required sample size is determined by finding the z-score that corresponds to a 90% confidence interval and then using that z-score to calculate the sample size. In this case, the z-score is 2.24 and the sample size is 467.

In order to determine the required sample size to be 90% certain that we are within 4 IQ points of the true mean, we must first calculate the z-score that corresponds to a 90% confidence interval. This z-score is calculated by subtracting the lower bound of the interval from the mean, and then dividing this difference by the standard deviation. In this case, the z-score is 2.24. We then use this z-score to calculate the required sample size, which is calculated by taking the z-score, squaring it, and then multiplying it by the sample variance. In this case, the sample size is 467. This means that we need at least 467 samples in order to be 90% certain that we are within 4 IQ points of the true mean.

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Answer:

1. 0

2. 130

3. − 9.9

sorry if am wrong

Answer:

1. 56 + (-56) = 56 - 56 = 0

2. -240 + 370 = 370-240 = 130

3. -5.7 + (-4.2) = -(5.7+4.2) = -9.9

Let me know if this helps!

Answer:

30%

Step-by-step explanation

13 is a 30% increase of 10.

Answer:

30% increase

Step-by-step explanation:

subtract original quantity from new quantity: 13 - 10 = 3

divide the difference by original quantity: 3/10 = 0.30

convert that result to percentage by moving decimal place over twice to the right.

You're done! Answer = 30%

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram, multiply the base length by the height. Therefore, the area of the parallelogram is 8 cm * 24 cm = 192 cm².

To find the area of a parallelogram, you can use the formula A = base × height. In this case, the given measurements are 8 cm for the base, 9 cm for the height, and 24 cm for one of the sides of the parallelogram.

First, identify the base and height of the parallelogram. In this case, the base is 8 cm and the height is 9 cm.

Next, substitute the values into the formula for the area of a parallelogram: A = base × height.

A = 8 cm × 9 cm

Multiply the base and height:

A = 72 cm²

Therefore, the area of the parallelogram is 72 square centimeters. It's important to note that the area is not drawn to scale, so the measurements given are solely used for calculation purposes.

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Answer:

A

Step-by-step explanation:

Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.

Answer:

ur ans is A

Step-by-step explanation:

GOODLUCK

The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Answer:

Your question is Incomplete....

The next step in constructing a line perpendicular to a segment is; With compass at P, draw an arc that intersects a in two places.

The steps in constructing the given line segment in the attached image are;

Looking at the attached line segment the next step is obviously With compass at P, draw an arc that intersects a in two places.

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Answer:

you ;eft the question incomplete, but the answer is:

Increase the compass to almost double the width (the exact setting is not important).

Step-by-step explanation:

The scale factor is 0.6. Then the area of the actual garage is 19.44 m². And dimensions are 3.6 m and 5.4 m.

Scale factor means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A scale model drawing of a garage is 6 centimeters wide and 9 centimeters long.

The scale model uses a scale in which 3 centimeters represent 1.8 meters.

The scale factor will be

\(\rm 1 \ cm = 0.6\) m

Then the dimension of the actual garage will be

Length = 0.6 x 6 = 3.6 m

 Width = 0.6 x 9 = 5.4 m

Then the area of the actual garage will be

Area of garage = Length x Width

Area of garage = 3.6 x 5.4

Area of garage = 19.44 m²

Thus, the area of the actual garage is 19.44 m². And dimensions are 3.6 m and 5.4 m.

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Answer:

Since 21 and 22 are vertical angles, they are congruent. Therefore, m/1 = m22.

Using the equation m/1 = (17x + 1) we can find the measure of the angle m22.

m22 = (17x + 1)

Since ZK and ZL are complementary angles, the sum of their measures is 90 degrees.

mZK + mL = 90

Using the equations mZK = (3x + 3) and mL = (10x-4) and substituting them in the equation, we can find the measure of each angle.

3x + 3 + 10x - 4 = 90

13x - 1 = 90

13x = 91

x = 7

Therefore, mZK = (3x + 3) = (3(7) + 3) = 24 and mL = (10x-4) = (10(7) - 4) = 66

Step-by-step explanation:

Answer: $19 or $19.1176471 to be exact

Rounded to the nearest tenth of a foot, the length of this side of the actual building is 164.2 feet.

If the scale of the model is 1:85.5, it means that every 1 unit on the model represents 85.5 units in the actual building.

We are given that one side of the model is 23 inches long. To find the length of the actual building, we need to convert this measurement to feet and then use the scale factor.

23 inches is equivalent to 23/12 = 1.92 feet (rounded to two decimal places).

Using the scale factor:

1 unit on model = 85.5 units on actual building

1 inch on model = 85.5 inches on actual building

1.92 feet on model = 85.5 × 1.92 = 164.16 feet on actual building

Rounded to the nearest tenth of a foot, the length of this side of the actual building is 164.2 feet.

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The total area of the desk is 24 square feet.

To find the total area of the desk, we need to first find the area of one trapezoid and then double it since there are two parts.
To do this, we need to know the formula for the area of a trapezoid, which is:
A = ((b1 + b2) / 2) × h
where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.
In this case, we know that the height is 3 feet. We also know that one of the parallel sides of the trapezoid is 4 feet, but we don't know the length of the other parallel side. Let's call that length x.
To find x, we can use the fact that both trapezoids together make up the width of the desk, which we can assume is the length of Noshi's office. Let's say her office is 8 feet wide. Then the total length of the two trapezoids combined must be 8 feet. Since one of the trapezoids has a parallel side of 4 feet, the other trapezoid must have a parallel side of 8 - 4 = 4 feet as well.
Now we can use the formula for the area of a trapezoid to find the area of one of the trapezoids:
A = ((b1 + b2) / 2) × h
A = ((4 + x) / 2) × 3
A = (2 + x/2) × 3
A = 6 + 3x/2
To find the total area of the desk, we need to double this since there are two trapezoids:
Total area = 2 × (6 + 3x/2)
Total area = 12 + 3x
Now we just need to plug in the value we found for x earlier:
Total area = 12 + 3(4)
Total area = 24 square feet
Therefore, the total area of the desk is 24 square feet.
Hi! To find the total area of the desk, we first need to calculate the area of one trapezoid and then double it. The formula for the area of a trapezoid is:
Area = (1/2) × height × (base1 + base2)
In this case, the height is 3 feet, base1 is 4 feet, and we need to find base2. Assuming base2 is also 4 feet (since the desk parts are identical):
Area of one trapezoid = (1/2) × 3 ft × (4 ft + 4 ft) = (1/2) × 3 ft × 8 ft = 12 square feet
Now, we double the area to account for both parts of the desk:
Total area of the desk = 2 × 12 sq ft = 24 sq ft

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Given:

Face value = $101,000

Carrying value = $97,900

Bonds call price = $95,500

Find:

Gain or loss on retirement = ?

So, the formula to find the gain or loss on retirement is:

Carrying value – bonds call price

Substituting their values, we get:

$97,900 - $95,500

= $2,400

The journal entries are:

Dr Bonds payable $101,000

Dr Gain on retirement of bonds $1,200

Cr Cash $95,500

Therefore, you gained $2,400 on retirement.

To add, when a bond is retired at any time before its maturity date, it is said to be retired early.

Based on this model, we can say that accounting for bonds retired at maturity is pretty straight forward: the company pays out cash and removes the bond payable from its balance sheet.

Yes, that is correct. The sides of an equilateral triangle inscribed in a circle are closer to the center of the circle than the sides of a square inscribed in the same circle.

This is because an equilateral triangle has all its vertices on the circumference of the circle, whereas a square has only four of its vertices on the circumference. As a result, the sides of the equilateral triangle are closer to the center of the circle than the sides of the square. This property of inscribed shapes is important in geometry and has many practical applications in fields such as architecture and engineering.

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Answer:

a) 2a + 3c = $44.50

     a + 2c + $25.50

b) $19

Step-by-step explanation:

Simultaneous equations. A = adult. C = children

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Now solve this using the method of elimination:

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Multiply equation 2 by 2 so that both equations have the same a coefficient.

2a + 4c = $51 (NEW EQUATION 2)

Now subtract equation 1 from equation 2:

2a - 2a + 4c - 3c = $51 - $44.50 (2a cancels out)

c = $6.50

Now substitute c into one of the equation, in this case, I'm using original equation 2.

a + 2($6.50) = $25.50

a + $13 = $25.50

a = $12.50

Total cost of one adult and child = $6.50 + $12.50

                                                       = $19

Answer:

option d

Step-by-step explanation:

hope this helps

Answer:

m<X=m<Z

Step-by-step explanation:

In an isosceles triangle, 2 sides are congruent, and the opposite angles of those sides are congruent.

The angle opposite side XY is <Z.

The angle opposite side YZ is <X.

Since sides XY and YZ are congruent, then angles Z and X are congruent.

Answer: m<X=m<Z

The given number is

Here we need to use a power property

As you can see, the property allows us to move the position of the power in order to have a positive exponent. Let's do that