At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent?

Answer:

720 [tex]ft^3[/tex]

Step-by-step explanation:

Answer:

720 ft³

Step-by-step explanation:

Volume = Area Triangle times Length

Area triangle = 1/2(6x12) = 1/2(72) = 36 ft²

Volume = 36 ft² x 20 ft = 720 ft³

Volume = 720 ft³

If my answer is incorrect, pls correct me!

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-Chetan K

If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.

In the given question, a new disease has been observed, and experts believe that 1% of the population have it.

A test is developed that has 95% true positive rate and 1% false positive rate.

From the given data,

Let E be the event that a patient has a disease and F be the event that a patient has tested positive.

Then according to Bayes' theorem we have,

P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')

P(E/F) = (1*95)/(1*95)*(99*1)

P(E/F) = 95/194

P(E/F) = 0.489 (approx.)

Hence, the probability that Alice has the disease 0.489.

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Answer:

5. It has no solution because this symbol > is greater than and it says that -1 > n>5.

-1 is not greater than 5.

Step-by-step explanation:

Have a nice day! :-)

The system of equations could be used to find the number of gallons of gas Chris bought at each station is,

B. x + y = 20 and 1.45x + 1.55y = 29.80.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Chris stopped for gas twice on a long car trip.

The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.

Therefore the system of linear equations that represents the context is,

x + y = 20 and 1.45x + 1.55y = 29.80.

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The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.

Given that,

Rent = 300 dollars

Shelby wants to have at least $280 left over after paying rent.

The total earnings of Shelby calculated in a week are given as, 15.5 h

where,

h is the number of hours

To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,

15.5 h - 300

And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,

15.5 h - 300 ≥ 280

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Answer:

triangle B

Step-by-step explanation:

...............

The Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.

Lorenze curve can be defined as the curve that help to show how income is share or distributed within a country.

Lorenz curve is important as it play a major role when it comes to how wealth or income should be share in a country by using a pictorial representation to show inequality in income.

Inconclusion the Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.

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Answer:

sry i dont no

The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.

Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.

We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9

Now we need to put the values in y intercept form to find out the equation

y - y1 = m(x - x1)

y - (-3) = m(x - (-2))

y + 3 = 5(x + 2)

y = 5x + 10 - 3

y = 5x + 7

Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

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The correct answer is   A.  {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} which  sets of ordered pairs represents a function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

sets of ordered pairs represents a function are,

{(-8,-14), (-7,-12), (-6,-10), (-5,-8)}

{(-4,-14), (-9,-12), (-6,-10), (-9,-8)}

{(8,-2), (9,-1), (10,2), (8,-10)}

{(-8,-6), (-5,-3), (-2,0), (-2,3)}

Now, we know that,

A function has no repeated values of the independent variable.

So, we have now,

Only choice A meets that requirement.

And,

B: (-9, 12) and (-9, 8) both have -9 as a first value; not a function.

C: (8, -2) and (8, -10) both have 8 as a first value; not a function.

D: (-2, 0) and (-2, 3) both have -2 as a first value; not a function.

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Answer:

if the question is how much did you spend in total then your answer would be $9.77, let me know if this is not the question

Step-by-step explanation:

3.99 + 3.99 + 1.79

Answer:

$9.77

Step-by-step explanation:

hope the picture explains it :)

the given triangle A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90° in degrees.

A 45-45-90 triangle is also an isosceles triangle, which means that its two legs are equal in length.

All 45-45-90 triangles are similar to each other.

Line segments DE and FG are perpendicular to side AB of the 45-45-90 triangle, ABC. Triangles ADE and AFG are also 45-45-90 triangles now, △ABC~△ADE~△AFG.

The ratio of the side lengths of a 45-45-90 triangle is:

                                          ratio= 1:1: √2

The legs of opposite the 45° angles (the shorter sides) are √2÷2of the length of the hypotenuse (the side opposite the 90° angle)

The hypotenuse is √2 times the length of either leg.

Since a 45-45-90 triangle is also an isosceles triangle, then, the two legs are equal on measuring. Assuming x is the length of the leg and b is the length of the hypotenuse and using the Pythagorean Theorem:

x^2 + x^2= b^2

Thus, the ratio of the side lengths of a 45-45-90 triangle are x:x:√2 or 1:1: √2 respectively.

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Answer:

The area of the base and the height of the object

Step-by-step explanation:

you need to know these so you can us the formula      B x H = V

B = base

H = height

V = volume

The inverse of ∼P→∼Q is P->Q.

Given ∼P→∼Q

Its inverse, ∼(∼P)→∼(∼Q), means that P→Q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue. A conditional statement that has been modified or rearranged is referred to as a related conditional. An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. It is noted that p→q. Read this: if p, then q.

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On solving the provided question, we can say that by mean score the population will be 20192

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.

A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250

200/4

= 50

50*e^{-2}

the population will be 20192

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Answer:

C

Step-by-step explanation:

Any parallel line to the Y axis is infinite/undefined. Which means no function at all.

Answer:

97.5

Step-by-step explanation:

In my eyes I think we are talking about perimeter...

So then we would have to add up all the sides giving us the result.

30.25+30.25+18.5+18.5 = 97.5

And I am terribly sorry if it was incorrect I feel like i messed up on the "Disregard" part.. Anyways

Hope this helps! :)

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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Work Shown:

The tangent ratio involves the opposite over adjacent.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = sqrt(75)/5

tan(A) = ( 5*sqrt(3) )/5 .... see the section below

tan(A) = sqrt(3)

---------------------------

sqrt(75) = sqrt(25*3)

sqrt(75) = sqrt(25)*sqrt(3)

sqrt(75) = 5*sqrt(3)

In order to determine which inequality represents a graph, you need to look at the inequality and identify if the equation is an open or closed interval. If it is an open interval, it will be represented by a dashed line on the graph. If it is a closed interval, it will be represented by a solid line on the graph.

1. Look at the inequality and identify if the equation is an open or closed interval.

2. If it is an open interval, it will be represented by a dashed line on the graph.

3. If it is a closed interval, it will be represented by a solid line on the graph.

4. Determine the starting and ending points of the inequality, and plot them on the graph.

5. Draw the line that connects the two points, either dashed or solid, depending on whether the interval is open or closed.

6. Shade the area of the graph that is represented by the inequality.

7. Label the graph with the inequality, the points, and the shading.

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Answer:

34 + 23 = 57

57 - 5 = 52

Therefore, she has 52 toy horses.

Answer:

SAA

Step-by-step explanation:

Answer:

h = 3

Step-by-step explanation:

We can see a triangle with a base equal to (1/2)×6 or 3 with a hypotenuse of 3×sqrt(2). So we can use the Pythagorean theorem to solve for height h:

hyp^2 = b^2 + h^2

h^2 = hyp^2 - b^2

[tex] {h}^{2} = {(3 \sqrt{2}) }^{2} - { 3}^{2} = 9[/tex]

or h = 3

Answer:

y = 3x - 2

Step-by-step explanation:

Answer:

8 1/8

Step-by-step explanation:

1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)

3 times 4 + 3 = 15, so we get 15 over 4

4 times 8 + 3 = 35, so we get 35 over 8

Next I am going to give them a common denominator. (Their least common multiple is 8)

one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)

15/4 times 2/2 = 30/8

Now we add the two fractions (DO NOT ADD DENOMINATORS)

30/8 + 35/8 = 65/8

Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).

Answer:

2 hours + 14

Step-by-step explanation:

Since 1 hour = 60 min

Divide by 60 maximum it goes in 134, 2 times the excess is your minutes.

Answer: C

Step-by-step explanation:

Just go 2 units up on the grid and one to the left

Answer:

(3,6)

Step-by-step explanation:

First, find the coordinate of the school. The school is at (4,4).

Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!