What is the value of x?

Answer:

22.6%.

Step-by-step explanation:

To calculate the percent error of a measurement, you can use the following formula:

Percent Error = (|measured value - actual value| / actual value) x 100%

Plugging in the values from the problem:

Percent Error = (|4.1 inches - 5.3 inches| / 5.3 inches) x 100% = (1.2 inches / 5.3 inches) x 100% = 0.226 x 100% = 22.6%

To the nearest tenth of a percent, the percent error is 22.6%.

The average speed of the bus is 54.78 mph.

To find the average speed of the bus, we need to find the total distance traveled and the total time taken for the entire trip.

Distance traveled = 10 miles + 17 miles + 95 miles + 4 miles = 126 miles

To find the total time taken, we need to calculate the time taken for each segment of the trip and add them up.

Time taken for 10 miles at 25 mi/h = 10 miles / 25 mi/h = 0.4 hours

Time taken for 17 miles at 45 mi/h = 17 miles / 45 mi/h = 0.378 hours

Time taken for 95 miles at 80 mi/h = 95 miles / 80 mi/h = 1.1875 hours

Time taken for 4 miles at 12 mi/h = 4 miles / 12 mi/h = 0.333 hours

Total time taken = 0.4 hours + 0.378 hours + 1.1875 hours + 0.333 hours = 2.3 hours

Average speed = total distance / total time = 126 miles / 2.3 hours = 54.78 mph

So, the average speed of the bus is 54.78 mph.

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The perimeter of the rectangular community garden, after the size has been altered by a factor of 20, is 130 feet.

In two-dimensional shapes, a perimeter is defined to be a closed path that surrounds or outlines a shape. The perimeter of a circle or an ellipse though is called the circumference.

The perimeter P of a rectangle is equal to two times the length l plus two times the width w [P = 2(l + w)]. The length and the width of the rectangular community garden are consecutively 2,25 and 1 feet, and the scale factor is 20.

Therefore, the perimeter of the community garden is

P = 2(l + w) · 20

P = 2(2,25 + 1) · 20

P = 6.5 · 20

P = 130 feet.

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Answer:

130 feet

Step-by-step explanation:

The equation which is graphed in this figure (see attachment) is: C. y + 2 = −3/2(x − 2)

"y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis."

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

From the information provided about this graph, we have the following data points on its line:

Points on the x-axis = (0, 2).

Points on the y-axis = (1, -2).

At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-2) = (-2 - 1)/(2 - 0)(x - 2)

y + 2 = -3/2(x - 2)

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The value of x in the similar triangles is 40.

Those triangles that looks the same but different in sizes.

And in the similar triangle,

the corresponding sides in proportion to each other and corresponding angles are equal to each other.

Given:

Triangles are similar.

That means,

the corresponding sides are in the proportion to each other.

That means,

(x + 8)/x = 12/10

10x + 80 = 12x

2x = 80

x = 40

Therefore, the value of x is 40.

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The system of equations to describe the condition is,

22x + 74y = 10274

48x +  61y = 10261

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Yesterday, the organization sold 22 regular tickets and 74 VIP tickets, raising $10,274

Today, 48 regular tickets and 61 VIP tickets were sold, bringing in a total of $10,261

Cost of regular ticket = ?

Cost of VIP ticket = ?

Suppose,

Cost of regular and VIP ticket are respectively,  x & y

22x + 74y = 10274

48x +  61y = 10261

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Answer: 6.2

Step-by-step explanation:

Using the arc length formula,

[tex]x=\frac{118}{360}(2)(3)(\pi) \approx 6.2[/tex]

The surface area of the ice is 16π square inches. At a rate of 10 cubic inches per min, the outer surface area of the ice is changing at  10/16π square inches per min.

To calculate this we have given:

The diameter of the spherical ball is 8 inches, so the radius of the ball is 8/2 = 4 inches.

The volume of a sphere is given by the formula (4/3)πr³, where r is the radius of the sphere.

The volume of the spherical ball with 2 inches of ice is (4/3)π(4³) = (4/3)π64 cubic inches.

The volume of the ice is the volume of the spherical ball with 2 inches of ice minus the volume of the spherical ball without the ice, which is (4/3)π(4³) - (4/3)π(4³ - (2³)) = (4/3)π64 - (4/3)π32 = 32π cubic inches

At a rate of 10 cubic inches per min, the thickness of the ice is decreasing at:

10 cubic inches / 32π cubic inches = 10/32π inches per min

To find the rate at which the outer surface area of the ice is changing, we can use the formula for the surface area of a sphere which is 4πr².

The surface area of the ice is 4π(4-2)³ = 4π4 = 16π square inches.

At a rate of 10 cubic inches per min, the outer surface area of the ice is changing at:

10 cubic inches / 16π square inches = 10/16π square inches per min

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The probability of getting a difference of 3 when two fair dice are thrown together is 1/9.

Probability is the measure of how likely it is that a certain event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability can also be expressed as a percentage or fraction. Probability is used to describe the likelihood of an event occurring, and its calculation is based on the number of possible outcomes of the event.

This is due to the fact that there are 6 possible outcomes for each dice, and 36 possible outcomes when both dice are thrown. The only way to get a difference of 3 is for the first dice to show a 4 (1/6 probability) and the second dice to show a 1 (also 1/6 probability). This gives a combined probability of 1/6 x 1/6 = 1/36, which is 1/9.

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Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.

First, we need to find out how many euros Phelan has left after spending 150 euros on his trip.

We are taking the exchange rate of 1 euro = 1.08 USD

He started with 250 US dollars, which he exchanged for 250 / 1.08 = 231.48 euros.

After spending 150 euros, he has 231.48 - 150 = 81.48 euros left.

To convert the euros back to US dollars, we need to multiply the number of euros by the exchange rate (1 US dollar = 1.08 euros)

So, Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.

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The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.

The area of this region with a Riemann Sum is 0.7595.

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

Given function is f(x) = 1/x on the interval [1,2] is shown.

The four rectangles of width 1/4 are present.

From the figure we can see that the x coordinate of the left edges of the rectangle are:

1,5/4,6/4,7/4

Now we plug these values in the function to find the height of rectangles.

For x=1 ,f(x) = 1

For x=5/4 ,f(x) = 4/5

For x=6/4 ,f(x) = 4/6

For x=7/4 ,f(x) = 4/7

Now, Area = length*width, and width of each rectangle is 1/4

Area of rectangle 1 = 1*1/4 = 1/4

Area of rectangle 2 = 4/5*1/4 = 1/5

Area of rectangle 3 = 4/6*1/4 = 1/6

Area of rectangle 4 = 4/7*1/4 = 1/7

Total Area is = 1/4+1/5+1/6+1/7  = 0.7595

This is an overestimation of ln(2).

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Therefore, 0.4854 to 0.5546 is the 95% confidence range for the percentage of businesses that are anticipated to need greater employee payments for health insurance coverage in 2009.

A. Computation the margin of error

First step is to calculate the Confidence level using this formula

Confidence level= 1 -α

Where,

α=0.95

Let's enter the formula.

Level of confidence = 1-0.95

Level of confidence = 0.05

The following step is to use this formula to get Z.

Zα/2

Let's enter the formula.

Z= 0.05/2

Z=0.025

Finding the Z score of Z=0.025 is the third stage.

Zα/2=1.96

Let's now use this approach to calculating the margin of error.

Margin of error=Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Margin of error=1.96√0.52(1-0.52)/800

Margin of error=1.96√0.52(0.48)/800

Margin of error=1.96√0.2496/800

Margin of error=1.96√0.000312

Margin of error=0.0346

Therefore Margin of error will be 0.0346

B. Calculating the proportion of businesses anticipated to demand greater employee payments for health insurance coverage in 2009 with a 95% confidence interval

computation for the confidence interval's outer limits

p- Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52-1.96√0.52(1-0.52)/800

Confidence interval=0.52-1.96√0.52(0.48)/800

Confidence interval=0.52-1.96√0.2496/800

Confidence interval=-0.52-1.96√0.000312

Confidence interval=0.4854

Computation for the boundaries of confidence interval

Using this formula

p+ Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52+1.96√0.52(1-0.52)/800

Confidence interval=0.52+1.96√0.52(0.48)/800

Confidence interval=0.52+1.96√0.2496/800

Confidence interval=-0.52+1.96√0.000312

Confidence interval=0.5546

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The per cent of change for the volume of water inside the aquarium is 93.5.

An aquarium carries 8.6 cubic feet of water.

The aquarium is loaded up further to hold 9.2 cubic feet of water.

We have to find the per cent of change for the volume of water inside the aquarium.

A ratio or value that may be stated as a fraction of 100 is a percentage. If we calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The per cent of change for the volume of water inside the aquarium = Water holds by aquarium/Further filled water × 100

The per cent of change for the volume of water inside the aquarium = (8.6/9.2) × 100

The per cent of change for the volume of water inside the aquarium = 93.5%.

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There is no solution that satisfy the equation (1,1,1) x u = (7, -4, -3).

The term "vector" in mathematics and physics is used informally to refer to some values that cannot be stated by a single integer (a scalar) or to certain members of vector spaces. Though the components of an algebra are frequently not referred to as vectors, any algebra over a field is a vector space. They are sometimes referred to as vectors, mostly for historical reasons.

A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.

There is no value, not even 0, that would satisfy the equation, which is referred to as "no solution."

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Answer:

5,040 minutes

Step-by-step explanation:

[tex]\frac{3.5 days}{1}[/tex] x [tex]\frac{24 hours}{1 day}[/tex] x [tex]\frac{60min}{1hour}[/tex]  

[tex]\frac{3.5days x 24 hours x 60 minutes}{1day x 1 hour}[/tex]  Cross cancels the words days and hours

[tex]\frac{3.5 x 24 x60min}{1x1}[/tex]

[tex]\frac{5040minutes}{1}[/tex] = 5040 minutes

Answer:

9261

Step-by-step explanation:

[tex](-3-2(-12))^3=(-3+24)^3=21^3=441(21)=9261[/tex]

On solving the provided question, we can say that by unitary method she work rate = 24 hours x 3/120 = 72/120

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

she painter work rate i=1/40= 3/120 40 hours to complete

her assistant work rate= 1/60 = 2/120  60 hours to complete.

Combined work = 5/120

house could be painted in 24 hours each with both of them working together.

she work rate = 24 hours x 3/120 = 72/120

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Answer:

yes a rational number

Step-by-step explanation:

a rational number has the form

[tex]\frac{a}{b}[/tex] with a and b integers

[tex]\frac{7}{11}[/tex] is in this form and is therefore a rational number

The like radical to [tex]3\sqrt[4]{5x}[/tex] is given as follows:

[tex]7\sqrt[4]{5x}[/tex]

Like radicals are two radical expressions that have the same indices and radicand.

The concepts of the index and of the radicand of a radical are given as follows:

In the context of this problem, the radical expression is presented as follows:

[tex]3\sqrt[4]{5x}[/tex]

Hence the index and the radicand are given as follows:

Applying the concept of like radicals, any expression in this format is a like radical to 4 √ 5x.

n(4 √ 5x).

That is, any multiple of the term.

This means that the correct option is given by the first option, with n = 4.

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The cost of a 3.4 mile ride when a taxi charges a base fee of $3.00 and $0.15 for every mile of the ride is $3.51.

Therefore the answer is $3.51

The cost of a 3.4 mile ride can be calculated by multiplying the distance of the ride by the cost per mile and adding the base fee. Here base fee is the fixed charge and $0.15 is the variable charge that depend on distance covered.

To calculate the cost of the ride:

= (3.4 miles * $0.15 per mile) + $3.00 base fee

= $0.51 + $3.00

= $3.51

So, a 3.4 mile ride would cost $3.51.

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Answer:

The tablecloth overhang is the amount of tablecloth that hangs over the edges of the table.

The area of the square table is 1.3m * 1.3m = 1.69m^2.

The area of the round tablecloth is pi * (diameter/2)^2 = pi * (2/2)^2 = pi * 1^2 = pi * 1 = pi m^2.

The overhang is the difference between the area of the round tablecloth and the square table.

Overhang = pi m^2 - 1.69m^2 = pi - 1.69

To find the percentage of the tablecloth that overhangs the table, we can divide the overhang by the area of the tablecloth and multiply by 100.

Overhang % = (pi - 1.69) / pi * 100 = (pi - 1.69) / pi * 100 = (3.14 - 1.69) / 3.14 * 100 = 1.45 / 3.14 * 100 = 46.14%.

So, the percentage of the tablecloth that overhangs the table is 46.14%.

Answer:

it is you just find the total of the 29 mgs

The probability that the quarterback completes his first pass on his 4th attempt is 0.44

The term probability in math is defined as the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

Here we have given that assume a quarterback completes 44% of his passes.

Here we have to convert the percentage into decimal form, then we get,

=> 44/100

When we divide it, then we get the probability that the quarterback completes his first pass on his 4th attempt is written as,

=> 0.44

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Answer:

yes because it's like multiplying my 1/2.

when you multiply a number with a fraction its the same as dividing.

Step-by-step explanation:

Example: 6/1 × 1/2 = 3

Answer:

0.850

Step-by-step explanation:

The first step is to write the number in standard form. Then, you place the decimal point in the quotient above the decimal point of the dividend. Then, divide and bring down the other digits such as hundredths, thousandth, and ect.

The right option is Option C: y = 5x + 1

The given line passes through the points (5,0) and (0,1).

The slope of the line is found by:

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

This implies that,

[tex]m = \frac{1-0}{0-5} \\m = \frac{-1}{5}[/tex]

The product of the slope of the two perpendicular lines should be negative one.

Thus,

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

This implies that,

[tex]\frac{-1}{5} * m_{2} = -1[/tex]

Giving us, m2 = 5

We can use the slope intercept formula,

y = mx + b

where b = 1 is the y-value of the y-intercept.

The equation thus becomes,

y = 5x + 1

Therefore, the right option is Option C: y = 5x + 1

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The expected value of y is (D.) 35.5.

The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.

To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.

y * probability = y * P(y)

The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10

= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.

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On solving the provided question, we can say that Due to the size and revenue of this startup company, resources are somewhat limited.

In mathematics, "Size is an abstraction from the comparison and measurement of long and short items." Comparing or measuring objects allows us to determine their sizes. The amount's size will be decided by this. B. Mass or length with relation to measurement units. The total area of space occupied by a person or object; the size of someone or something. [Count] Box is 5 inches tall, 6 inches broad, and 12 inches long. The mistake was roughly the size of a dime. The size of twins is the same.

People make mistakes, but there is a potential that she can unintentionally destroy a personal file if she is removing something.

Due to the size and revenue of this startup company, resources are somewhat limited.

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Answer:

0.3

Step-by-step explanation:

Were you asking for 5% of 6? Because then you would just multiply 6 by 0.05 (because percents are always out of 100%, so converted to decimal it is out of 1) and then get 0.3

Answer: The percentage of 6 by 5 (i.e. 6:5) is 120

Step-by-step explanation:

Given: 6 by 5 i.e. 6/5

Solution: (value/ total value)* 100

hence, (6/5)*100

=1.2*100

=120.

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