A coin is tossed 300 times, and gets heads for 200 times, tails for 80 times.What is the probability of getting a tales

The admission fee at an amusement park is $4.25 for children and $7.00 for adults. on a certain day, 303 people entered the park, and the admission fees collected totaled 1824 dollars. There are 108 children and 195 adults were admitted

Let the number of children admitted = C and the number of adults admitted = A

Total number of people admitted = 303

We can form two equations from the given information.

The first equation is to represent the number of people admitted in terms of children and adults.

So, the equation will be

C + A = 303 ------(1)

The second equation represents the total amount collected from admission fees.

So, the equation will be

4.25C + 7A = 1824 ------(2)

Multiplying equation (1) by 4.25, we get

4.25C + 4.25A = 1289.25 ------(3)

Subtracting equation (3) from equation (2), we get:

7A - 4.25A = 1824 - 1289.25

Simplifying, we get:

2.75A = 534.75

Dividing by 2.75, we get:

A = 195

Putting A = 195 in equation (1), we get:

C + 195 = 303

Simplifying, we get:

C = 108

So, there were 108 children and 195 adults admitted on that day.

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The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

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However, sin⁻¹ is defined to return an angle between -90° and 90°, so it returns the angle that is closest to 30° (which is 30° in this case).

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to geometry, physics, engineering, and many other fields. Trigonometry is based on the study of the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios of the lengths of the sides of a right triangle, and can be used to calculate the unknown side lengths or angles of a triangle.

Here,

If sin 30° = 0.5, then sin⁻¹(0.5) is the angle whose sine is 0.5. In other words, we are looking for the angle whose sine is 0.5. Since sin 30° = 0.5, we know that one possible answer is 30 degrees. However, there are other angles that also have a sine of 0.5. One way to find the other angles is to use the inverse sine function, denoted as sin⁻¹. This function takes a value between -1 and 1 as its input and returns an angle between -90° and 90° as its output. So, if we want to find sin⁻¹(0.5), we are asking: what angle has a sine of 0.5?

The answer is: sin⁻¹(0.5) = 30°.

Note that there are other angles that also have a sine of 0.5, such as 150°, 390°, etc.

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Complete question:

Using the equality above, copy and complete the following:

The value of sin⁻¹ (0.5)​ when sin 30° = 0.5.

Answer:

The median and mean are two different measures of central tendency that provide different information about a data set. The median is the middle value in a data set, where half of the values are above and half are below. The mean, on the other hand, is the sum of all values divided by the total number of values.

In this case, the median number of reviews is much lower than the mean number of reviews, indicating that there are likely a few very high review counts that are skewing the data towards the higher end. This is because the mean is more affected by extreme values, while the median is not. It is possible that there are a few apps with an extremely large number of reviews, which are driving up the mean.

The mean number of reviews would be significantly higher than the median.

The difference between the median and mean number of reviews can be explained by the fact that some apps have very large numbers of reviews, whereas others have very few. The median is the middle value of the dataset, and does not take into account the outliers, which can have a large effect on the mean. For example, if there is one app with 1 million reviews, the mean number of reviews would be significantly higher than the median.

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Answer:

To solve for y, we need to isolate it on one side of the equation. Since there is only one term with y in it, we can begin by isolating that term:

7 + 4 + 25 + 6 = 42

42 + 5y - 2 = 40 + 5y

Subtracting 40 from both sides, we get:

2 + 5y = 5y

Subtracting 5y from both sides, we get:

2 = 0

This is a contradiction, which means that there is no value of y that satisfies the equation. Therefore, the equation has no solution.

Answer:

y= [tex]-\frac{12}{47}[/tex]

Step-by-step explanation:

second attachment

[tex]\frac{65x-14x+49-4}{14} = 36[/tex]The value of x is 9.

Inequality refers to a situation where there is a significant difference in the distribution of resources, opportunities, and power among individuals or groups in a society. It is a complex social and economic phenomenon that can manifest in various forms such as income inequality, wealth inequality, gender inequality, racial inequality, educational inequality, and healthcare inequality, among others.

Given by the question.

[tex]\frac{9x+7}{2} - \frac{7x-x+2}{7} = 36[/tex]

[tex]\frac{63x+44-14x+2x+4}{14} = 36[/tex]

[tex]\frac{65x-14x+49-4}{14} = 36[/tex]

[tex]51x+45=504\\51x= 459\\x=9[/tex]

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Triangle ABC and triangle DEF are congruent, according to the Side-Angle-Side (SAS) postulate.

If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent. Congruent sides angles are what these are called.

Triangle ABC must be shown to be congruent with triangle DEF.

By demonstrating that the two triangles have a single pair of congruent sides, we can get started. We can observe that AB and DE are both 6 cm long.

The congruent angle between the two triangles can be demonstrated. As BAC and EDF are both right angles, we can see that they are equivalent.

Thus, according to the Side-Angle-Side (SAS) hypothesis Triangle ABC is consistent with triangle DEF, we can say.

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In an isosceles trapezoid, the diagonals are congruent, so the value of X is 7.

In an isosceles trapezoid, the two angles formed by each leg and a base are congruent, and the diagonals that connect opposite vertices are congruent as well.

An isosceles trapezoid is a four-sided polygon with two parallel sides that are of equal length and two non-parallel sides that are also of equal length. The non-parallel sides are often referred to as the legs of the trapezoid, and the parallel sides are called the bases.

In an isosceles trapezoid, the diagonals are congruent, so we can set KM and JL equal to each other and solve for x:

KM = JL

2x+10 = 5x-11

Subtracting 2x and adding 11 to both sides, we get:

21 = 3x

x = 7

Therefore, the value of x in the isosceles trapezoid is 7.

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The answer is: "helping to make family changes within the dysfunctional system."

Step-by-step explanation:

While family-based therapies can be effective for treating anorexia nervosa, helping to make family changes within the dysfunctional system is not an immediate goal of treatment for individuals with anorexia nervosa.

The immediate goal of treatment for individuals with anorexia nervosa is to restore their physical health, which includes helping them recover from malnourishment, helping them eat normally again, and helping them regain their lost weight.

Once their physical health is stabilized, additional therapies may be recommended to address the psychological, emotional, and social factors that contribute to their eating disorder, which may include family-based therapies.

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Answer:

Solutions: (-5, 1), (-10, 1), (-10, 5)

Non-solutions: (0, 4), (5, 4), (10, 4)

Step-by-step explanation:

Solutions are in the shaded area. Non-solutions are in the non-shaded area and on the dashed line.

Solutions: (-5, 1), (-10, 1), (-10, 5)

Non-solutions: (0, 4), (5, 4), (10, 4)

The total time that it took the fireman to be ready and aboard the firetruck can be obtained by summing all of the time spent. When summed, the total figure will be 32 seconds.

The total time taken to board the firetruck can be calculated by summing all the time given in seconds. We start by getting the time it took the firefighter to reach the fire pole which is 9.5 seconds.

Next is the time it took him to slide down the pole which is 3.2 seconds. Next is 13.6 seconds for sliding down the pole and 5.7 seconds for climbing aboard. The sum of all these is 32 seconds.

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By algebra properties, the complete algebraic equation is now described:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5), where a = 7 / 2.

An algebraic equation is shown herein, this expression must completed by filling the blanks. This can be done by clearing a variable through algebra properties:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5)

a · x² + 3 · a + 14 · x² + 7 · x = 5 · a · x² + 25 · x

(a + 14) · x² + 7 · x + 3 · a = 5 · a · x² + 25 · x

Then, by comparing terms:

a + 14 = 5 · a

14 = 4 · a

a = 14 / 4

a = 7 / 2

The complete expression is introduced below:

(7 / 2) · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · [(7 / 2) · x + 5]

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The probability that the ball that rolled out of the pit is red is 0.2 or 20%.

Now, let's apply this concept to Jose's ball pit problem. We know that Jose put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. The total number of balls in the pit is therefore:

Total number of balls = 40 + 55 + 45 + 60 = 200

Next, we know that one ball has rolled out of the pit. We want to find the probability that this ball is red. To do this, we need to calculate the probability of selecting a red ball from the total number of balls in the pit.

Probability of selecting a red ball = Number of red balls / Total number of balls

= 40 / 200

= 0.2 or 20%

This means that for every 10 balls that roll out of the pit, 2 of them are expected to be red.

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Disha is not correct, as the area of the larger circle is actually four times the area of the smaller circle, not double.

Circumference is the distance around the edge of a closed curved shape, such as a circle. In the case of a circle, it is the distance around the circle, or the perimeter of the circle.

Let "r" denote the smaller circle's radius. Then the circumference of the smaller circle would be 2πr, and the area would be πr².

If the circumference and area of the larger circle are both double the circumference and area of the smaller circle, then:

Circumference of larger circle = 2(2πr) = 4πr

Area of larger circle = 2(πr²) = 2π(r²)

Let "R" represent the larger circle's radius. Then the circumference of the larger circle would be 2πR, and the area would be πR².

If the circumference and area of the larger circle are both double the circumference and area of the smaller circle, then:

Circumference of larger circle = 2(2πr) = 4πr = 2πR

Area of larger circle = 2(πr²) = 2π(r²) = πR²

We may see from the equations above that:

R = 2r

Substituting this value of R in the equation for the area of the larger circle, we get:

Area of larger circle = πR² = π(2r)² = 4πr²

But we already know that the area of the larger circle is 2π(r²). This means that Disha is not correct, as the area of the larger circle is actually four times the area of the smaller circle, not double.

Therefore, Disha's statement is incorrect.

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The interval is known as a prediction interval when it is created using the estimated regression equation to forecast the mean for all units that satisfy a specific set of supplied criteria.

A prediction Interval is a statistical interval that provides a range of values within which a future observation is likely to fall. It takes into account both the variability of the data and the uncertainty in the estimates of the regression coefficients.

In contrast, a confidence interval is a statistical interval that provides a range of values within which a population parameter is likely to fall. It is used to estimate the true value of a population parameter based on a sample of data.

Therefore, a prediction interval is specific to the individual unit being predicted, while a confidence interval is specific to the population parameter being estimated.

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The area of the composite figure is 80ft².

Composite shapes may have overlaps between their perimeter and area.

Although we frequently define any shape's area through its perimeter, these two ideas are distinct. The area determines how much room the shape can store, while the perimeter merely draws the object's exterior border. Hence, the space that a shape encloses within its perimeter or boundary is its area.

Calculating the areas of various fundamental shapes is necessary to determine the area of a composite shape.

Breaking the form down is the easiest method:

Separate the composite shape into its constituent parts.

Each fundamental shape's area should be determined separately.

Add these areas together to determine the composite shape's area.

Here, first the area of the triangle:

1/2 × b × h

=1/2 ×(18-7-7) × 4

= 1/2 × 4 × 4

= 8ft².

Now, area of the rectangle:

b × l

= 4× 18

= 74ft².

Area of the whole figure = 8 + 72 = 80ft².

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The general solution to the given differential equation is y(t) = C * e^(3t).

To find the general solution to the inhomogeneous first-order linear differential equation y'(t) - 3y(t) = 0, follow these steps:

Step 1: Identify the homogeneous equation, which is y'(t) - 3y(t) = 0.

Step 2: Solve the homogeneous equation by finding the general solution. In this case, it is y_h(t) = C * e^(3t), where C is a constant.

Step 3: Identify the inhomogeneous part of the equation, which is missing in this case. Since the given equation is already homogeneous, there is no need to find a particular solution.

Step 4: Combine the homogeneous solution and the particular solution (if present) to form the general solution. In this case, the general solution is y(t) = y_h(t) = C * e^(3t).

So, the general solution to the given differential equation is y(t) = C * e^(3t).

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The table showing the distance traveled by the boat at various times should be completed as follows;

Time (h)                  0      0.5     1      1.5     2     2.5      3

Distance (mi)          0       1        2      3       4      5        6

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/1.5

Constant of proportionality, k = 2.

When x = 0.5, the distance is given by;

y = 2x

y = 2(0.5) = 1 mile.

When x = 1, the distance is given by;

y = 2x

y = 2(1) = 2 miles.

When x = 2, the distance is given by;

y = 2x

y = 2(2) = 4 miles.

When x = 2.5, the distance is given by;

y = 2x

y = 2(2.5) = 5 miles.

When x = 3, the distance is given by;

y = 2x

y = 2(3) = 6 miles.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].

Given,

x+2y=2

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

Slope = -1/2 = [tex]m_{1}[/tex]

Let Slope of line perpendicular to line x+2y=2 is [tex]m_{2}[/tex]

⇒  [tex]m_{1}[/tex] *    [tex]m_{2}[/tex] = -1

Then [tex]m_{2}[/tex] = 1/2

Equation of line perpendicular is given by

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

Since it contains point (5,6)

6 = [tex]\frac{1}{2} (5) + c[/tex]

c= [tex]\frac{7}{2}[/tex]

Then the equation of line is:

[tex]y = \frac{1}{2}x+ \frac{7}{2}[/tex].

Therefore, the equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].

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the function represents exponential decay with a rate of decrease of 5.9% per unit increase in x.

In the exponential function y = [tex]620(0.941)^x:[/tex]

The base of the exponent is 0.941, which is between 0 and 1.

As x increases, the value of [tex](0.941)^x[/tex]gets smaller and smaller, approaching 0 but never reaching it.

Therefore, the function represents exponential decay.

To determine the percentage rate of decrease, we can use the formula:

rate of decrease = (1 - base) x 100%

In this case, the base is 0.941, so the rate of decrease is:

rate of decrease = (1 - 0.941) x 100% = 5.9%

The exponential function is y = 620(0.941)^x.
To determine whether the function represents growth or decay, we need to look at the base of the exponential function, which is 0.941. Since this base is less than 1, the function represents decay.
To determine the percentage rate of decrease, we can use the formula:

r = (1 - b) x 100%
where r is the percentage rate of decrease, and b is the base of the exponential function.
In this case, b = 0.941, so we have:

r = (1 - 0.941) x 100%
= 0.059 x 100%
= 5.9%

Therefore, the exponential function y = 620(0.941)^x represents decay with a rate of 5.9% per unit of x.

A sort of mathematical function called exponential decay can be used to explain a quantity's decline across time or space. The quantity at any given time will change at a pace that is proportionate to the quantity itself, which is characterised by a decreasing rate of change. In other words, the amount of reduction decreases as time or space grows, but it never decreases to zero.

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=620(0.941)^x y=620(0.941) x

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Answer:

the missing value of the side length is 19.04

See Below

HAVE A NICE DAY !

Answer:

Mr Jacobs did not vote for the tax cut. C - Mr Jacob is a member of the Green Party. Invalid.

Step-by-step explanation:

Step-by-step explanation:

Which of the following shows an example of two irrational numbers being multiplied to get a rational number?

Responses

option c

The shaded region of the provided number is 214.5 yards, according to the given statement.

A rectangular shape is an illustration of a trapezoid with proportionate and matched opposite sides. It has four sides, four 90-degree borders, and is shaped like a rectangular. Any shape with only two sides is said to be rectangular.

Calculating Area by Subtracting Area from Two as well as More Regions: To determine the area for combined figures consisting of basic forms that overlap, deduct the area of the unshaded figure from the total area to obtain the area of the shaded region.

For illustration, let's calculate the size of the shaded section in the provided picture.

It is clear from the provided picture that a triangular and a rectangle have overlapped. We must deduct the triangular area from the size of the parallelogram in order to determine the area about the shaded figure. Area of the shaded figure =

Area of the rectangle −

Area of triangle

=l×b−12×b×h

=22×11−12×11×5

=214.5yd2

Hence, the area of the shaded figure is 214.5yd2

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The following question is incomplete.

Please complete the question so it can be answered.

Without the actual Production possibility frontier table or chart we cannot determine the exact quantities.

However, based on the information provided, we can determine that the production combo of 9 pies and 8 tarts is a point on Daisy's PPF.

This means that Daisy can produce 9 pies and 8 tarts per week using her available resources of 5 lbs of flour.

To fully analyze production possibilities of Daisy, we would need to see her complete PPF, which would show all possible combinations of pies and tarts that she could produce with her resources.

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Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

Answer:

162°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 20 , then

sum = 180° × (20 - 2) = 180° × 18 = 3240°

The interior angles of a regular polygon are congruent

then each interior angle = 3240° ÷ 20 = 162°

The value of mean should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.

The process mean can be adjusted through calibration. The mean is a measure of central tendency in a dataset that represents the average value of a group of data. The population standard deviation is denoted by σ. The formula for the population mean is as follows: μ = (Σ xi) / n, where xi represents the data values and n represents the total number of data values.

Here we can use the formula of confidence interval as,μ±z σ/√n, Where μ is the mean, z is the z-score, σ is the standard deviation is the sample size. Given,The required confidence level is 99%. So,α = 1-0.99α = 0.01. We can find z from the z-score table at α/2 = 0.005 as, z = 2.576.

Now, we need to find out the value of μ when the mean will be 12 ounces so that 99% of cans will contain 12 ounces or more. So,μ ± z σ/√n = 12. We know that, P(X > 12) = 0.99. The formula for standardization is, Z = (X - μ) / σHere, X = 12, σ is given and we need to find the value of μ.z = (X - μ) / σ2.576 = (12 - μ) / σμ - 12 = 2.576 × σμ = 12 + 2.576 × σ.

Now, the value of μ should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.

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A. The equation of the line is expressed as: y = (-5/2)x + 13.

B. The x-intercept of the equation is calculated as: 26/5.

A. We can use the point-slope form of a linear equation:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, to find the equation of a line passing through the point (4,3) with a slope of -5/2.

Substituting the values, we get y - 3 = (-5/2)(x - 4), which simplifies to y = (-5/2)x + 13 by expanding and adding 3 to both sides.

B. To find the x-intercept of the equation y = (-5/2)x + 13, we set y to 0 and solve for x. 0 = (-5/2)x + 13, which simplifies to x = 26/5 by multiplying both sides by -2/5 and adding (26/5) to both sides.

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