The members of a recreation class were asked to name their
favorite sports. The table shows the numbers who responded in
various ways. If a member of this class is selected at random,
what is the probability that the favorite sport of the person
selected is bicycling?
The probability is
(Do not simplify.)
2
Sport
Sailing
Archery
Snowboarding
Bicycling
Rock climbing
Rafting
Number of Class Members
2
11
6
20
7
14
n

There are 3/20 pink tulips

A flower garden is composed of 1/2 tulips

3/10 of this amount are the pink tulips

Therefore the number of pink tulips can be calculated as follows

= 1/2 × 3/10

= 3/20

Hence 3/20 of the tulips in the garden are pink

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The coordinates of the vertices for the image if the preimage is translated 3 units up is : A′(−3, 6), B′(0, 10), C′(−3, 3).

The correct option is (B)

If we are given the translated image of something, we need to work backwards given the translation rules. For example, if we have a general translation of (x +a, y +b), then to find pre-translation coordinates, we do: (x−a, y−b).

We have the Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0).

Now, let's consider the translation that moves the triangle 3 units up. This means that we need to add 3 to the y-coordinate of each vertex to get the coordinates of the image.

So, the coordinates of the vertices of the image triangle, let's call it A'B'C', will be:

A' = (-3, 3+3) = (-3, 6)

B' = (0, 7+3) = (0, 10)

C' = (-3, 0+3) = (-3, 3)

The coordinates of the vertices for the image if the preimage is translated 3 units up is : A′(−3, 6), B′(0, 10), C′(−3, 3)

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Answer:

Step-by-step explanation:

Answer:

Sure give me a sec

Step-by-step explanation:

1) A system of equations has no solution if the graphs of the equations do not intersect.  2) A system of equations has exactly one solution if the graphs of the equations intersect at exactly one point.  3) A system of equations has exactly two solutions if the graphs of the equations intersect at exactly two points.

Systems with no solution

A system of equations has no solution if the graphs of the equations do not intersect. This can happen if the graphs are parallel, or if one graph is completely contained within the other graph.

For example, the graph of a linear equation is a line, and the graph of a quadratic equation is a parabola. If the line and the parabola are parallel, then they will never intersect, and the system will have no solution.

Another way for a system to have no solution is if one graph is completely contained within the other graph. For example, the graph of the equation y = x is completely contained within the graph of the equation y = [tex]x^2[/tex]. This means that there are no points that satisfy both equations, and the system will have no solution.

Systems with exactly one solution

A system of equations has exactly one solution if the graphs of the equations intersect at exactly one point. This can happen if the graphs are intersecting lines, or if the graphs are intersecting parabolas.

For example, the graph of the equations y = x and y = [tex]x^2[/tex] intersect at exactly one point, which is the point (0,0). This is because the two graphs intersect when x = 0, and there is no other point where they intersect.

Systems with exactly two solutions

A system of equations has exactly two solutions if the graphs of the equations intersect at exactly two points. This can happen if the graphs are intersecting parabolas that have different slopes.

For example, the graph of the equations y = [tex]x^2[/tex] and y = 2[tex]x^2[/tex] intersect at exactly two points, which are the points (0,0) and (1,1). This is because the two graphs intersect when x = 0 and when x = 1, and there are no other points where they intersect.

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In the given diagram, the total surface area of the composite figure is 361.28 square yards

From the question, we are to calculate the total surface area of the given composite shape

In the composite shape, we have a cone and a hemisphere

The total surface area of the composite figure = Surface area of the hemisphere + Curved surface area of the cone

Surface area of the hemisphere = 2πr²

Where r is the radius

Curved surface area of a cone = πrl

Where r is the radius

and l is the slant height

In the given diagram,

Using the Pythagorean theorem,

l² = 12² + 5²

l² = 144 + 25

l² = 169

l = √169

l = 13 yd

Radius of cone and hemisphere = 5 yd

Total surface area of the composite figure = 2πr² + πrl

Substituting the parameters

Total surface area of the composite figure = 2π(5)² + π(5)(13)

Total surface area of the composite figure = 50π + 65π

Total surface area of the composite figure = 115π

Total surface area of the composite figure = 361.28 yd²

Hence,

The total surface area is 361.28 square yards

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Answer: 6 years

Step-by-step explanation: 32,000 divided by 25% is 24,000. 24,000 divided by 25% is 18,000. 18,000 divided by 25% is 13,500. 13,500 divided by 25% is 10,125. 10,125 divided by 25% is 7,593.75. 7,593.75 divided by 25% is 5,695.3125. so 6

The triangles are not congruent.

Given that, two triangles, EFG and HIJ are similar,

So,

Since, the triangles are similar, but according to the definition of similarity, two objects that are similar are not necessarily congruent,

so the Δ EFG is not congruent to Δ HIJ.

Cos 30° = HI / HJ

√3/2 = 3/HI

HI = 3.5

Therefore, the scale factor Δ EFG to Δ HIJ = EF / HI = 10/3.5 = 2/0.7

The ratio of perimeter of similar objects are same as the scale factor,

so, the ratio of their perimeters = 2/0.7

The ratio of the areas of the similar objects are the ratios of the squares of the scale factor.

So, the ratio of their areas = 4/0.49

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The total number of grams of baking soda in all 4 samples is given as follows:

B. 16 grams.

The total number of grams of baking soda in all 4 samples is obtained as the sum of the amounts for each sample.

The dot plot shows the number of samples with each amount, hence:

Hence the total amount is given as follows:

2.5 + 3.5 + 2 x 5 = 16 grams.

The problem is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

  8 cm³

Step-by-step explanation:

You want the volume of Prism B similar to Prism A, where the volume of Prism A is 216 cm³, its height is 9 cm, and the height of Prism B is 3 cm.

The ratio of volumes is the cube of the ratio of heights:

  (Prism B volume)/(Prism A volume) = ((Prism B height)/(Prism A height))³

  (Prism B volume)/(216 cm³) = ((3 cm/(9 cm))³ = 1/27

  Prism B volume = (216 cm³)·(1/27) = 8 cm³

The volume is 8 cubic centimeters.

The number of minutes of local landline calls is 132 min.

We are given that;

Time= 36min

Bill= 13119

Now,

To find the number of minutes of local landline calls, we need to rearrange the tariff structure formula to solve for n in terms of Total and m. We also need to substitute the given values of Total and m.

Total = nx 12c/min +mX R1,10/min + R75,75

n = (Total - m x R1,10/min - R75,75) / (12c/min)

Total = R131.19

m = number of minutes of calls to cellphones = 36 min

n = (131.19 - 36 x 1.10 - 75.75) / 0.12

= (131.19 - 39.60 - 75.75) / 0.12

= (15.84) / 0.12

= 132 min

Therefore, by algebra the answer will be 132 min.

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Answer:

The answer would be 0.93!

Step-by-step explanation:

The correct option is A which is federal tax.

The type of tax that funds military defence in the United States is the federal income tax. This is a tax levied by the federal government on individuals, businesses, and other entities based on their income. A portion of this tax revenue is allocated towards funding the military, including salaries for personnel, equipment, and operations.

It's important to note that not all of the federal income tax revenue is earmarked for military defence. The federal government uses this revenue to fund a variety of programs and services, including healthcare, education, infrastructure, and more. The allocation of funds towards military defence is determined by Congress and can vary from year to year based on national security needs.

Other taxes, such as state income tax, local income tax, and FICA tax (which funds Social Security and Medicare), do not directly fund military defence. However, all taxpayers contribute to the national defence in some way, as the federal government relies on a variety of revenue sources to fund its operations and programs, including military defence.

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This is correct. If M is a subset of N and N is a subset of P, then, M is a subset of P.

This follows from the transitivity of the subset relation. In set theory, the transitive property states that if a relation applies between elements A and B, and between elements B and C, then it also applies between elements A and C.

For the subset relation, if M is a subset of N (M ⊆ N), this means that every element in M is also an element of N. Similarly, if N is a subset of P (N ⊆ P), every element in N is also an element of P.

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The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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The value of the expression 4/12 + 2/3 is 1 1/12

A fraction is a part of a whole. A fraction consist of the upper part( numerator ) and the lower part ( denominator). Examples of fractions are; simple fraction , complex fraction, mixed fraction, improper fraction.

In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Solving 4/12 + 1/3

= (9+4)/12

= 13/12

= 1 1/12

therefore the value of 4 twelfth + 2 third is 1 1/12

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Answer:

Step-by-step explanation:

No, the corresponding angles are not congruent.,

They have to be EXACTLY the same.

Lol i am learning this to.

The three sides of the triangle are a, b, P - (a + b)

The length of the missing side, and the lengths of all three sides of a triangular corner shelf.

Given that one side of the triangular shelf measures "a" units and another side measures "b" units, we can find the total of two sides by adding them together:

a + b = total of two sides

If the perimeter of the triangle measures "P" units, we know that the perimeter is the sum of all three sides, so:

a + b + c = P

where "c" is the length of the missing side. We can rearrange this equation to solve for "c":

c = P - a - b

To find the lengths of all three sides of the triangle, we can substitute the value of "c" that we just found into the Triangle Inequality:

a + b > P - a - b

Simplifying this inequality, we get:

2a + 2b > P

Dividing both sides by 2, we get:

a + b > P/2

So, if "a + b > P/2", then the triangle can exist, and we can use the value of "c" that we found earlier to get the lengths of all three sides:

a + b + c = P

a + b + (P - a - b) = P

c = P - (a + b)

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If AOC and BOD are diameters of a circle, centre O, we can prove that triangle ABD and triangle DCA are congruent by RHS.

First, we can observe that angle AOB and angle COD are both right angles since they are angles subtended by diameters of the circle.

Since AO and BO are equal radii of the circle, they have the same length. Similarly, CO and DO are equal radii of the circle and have the same length. Thus, we have:

AO = BO = CO = DO

Now, consider triangle ABD and triangle DCA. We have:

AB = DC (both are diameters of the circle, hence have the same length)

AD = AD (common side)

∠ADB = ∠CDA = 90° (both are right angles)

Therefore, by the RHS (Right Angle-Hypotenuse-Side) congruence criterion, we can conclude that triangle ABD and triangle DCA are congruent.

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Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.

Here, we have,

A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.

given

We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).

Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.

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The probability that a randomly selected ticket will be a number that is not a multiple of 9 is 0.9.

To find the probability that a randomly selected ticket will not be a multiple of 9, we need to find the total number of tickets that are not multiples of 9 and divide it by the total number of tickets in the bowl.

There are 7 multiples of 9 between 1 and 70, namely 9, 18, 27, 36, 45, 54, and 63. Therefore, there are 70 - 7 = 63 tickets that are not multiples of 9.

So, the probability that a randomly selected ticket will not be a multiple of 9 is:

P(not multiple of 9) = 63/70

This can also be written as a decimal or percentage:

P(not multiple of 9) ≈ 0.9 or P(not multiple of 9) ≈ 90%

Therefore, there is a high probability that a randomly selected ticket will not be a multiple of 9.

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Answer: $105

Step-by-step explanation:

I would take 5+2=7 then take 7×15=105

Answer is $105 to ship.

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the corresponding opposite angles.

so,

16/sin(90) = x/sin(30)

16/1 = x/0.5

0.5 × 16 = x

x = 8 units

Pythagoras now gets us half the baseline (and therefore the full baseline) :

16² = x² + (baseline/2)² = 8² + (baseline/2)²

256 = 64 + baseline²/4

192 = baseline²/4

768 = baseline²

baseline = sqrt(768) = sqrt(256×3) = 16×sqrt(3) units

the area of a triangle is

baseline × height / 2

in our case

16×sqrt(3) × 8 / 2 = 16×sqrt(3) × 4 = 64×sqrt(3) units² =

= 110.8512517... units²

Answer:

The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation

Step-by-step explanation:

Answer:

8 centimeters squared.

Step-by-step explanation

This is just me assuming flower was flat???

The triangle was regular, so it measured 4 by 4 by 4. Triangle formula is 1/2bh.

1/2bh

1/2*4*4

2*4

8

The function given in the table is an exponential function.

The function given in the table is clearly not linear, since the y value is changing rapidly.

Here we can see that the function value is changing as the multiplication of 7.

y = 7⁰ = 1, when x = 1

y = 7¹ = 7, when x = 2

y = 7² = 49, when x = 3

y = 7³ = 343, when x = 4

y = 7⁴ = 2401, when x = 5

So here the equation of the function can be written as,

y = 7ˣ⁻¹

Here the variable x is in the exponent.

So it is an exponential function.

Hence the given function is an exponential function.

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