The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° about the origin. What are the vertices of the resulting image, Figure C’D’E’F’? Drag numbers to complete the coordinates.

The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535

Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.

Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.

To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.

The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is

=> 4,824.

This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck

=> (13 x 13 x 52).

Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades

=>  (4,824) / (2,598,960).

This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.

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Answer:

You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$

Step-by-step explanation:

You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$

So you pay 4.95x + 3 for your drink and x sandwiches

The algebraic expression 4.95x + 3 can be described as the total cost of a product that has a fixed price of 3 dollars, and an additional price of 4.95 dollars per unit of the product. In this case, x represents the number of units purchased, and the expression represents the total cost of the purchase.

(a) The probability that the other person is shorter than x is = 1/2

(b) The probability that the first person chosen is shorter than x is 1/2.

(a) If we know that at least one person is taller than x, then there are two cases to consider:

The first person chosen is taller than x:

In this case, the probability of the second person being shorter than x is 1/2.

The second person chosen is taller than x:

In this case, the probability of the first person being taller than x is 1/2.

The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:

P = (1/2) * (1/2) + (1/2) * (1/2)

= 1/2

(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.

The probability of this happening is 1/2.

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the value of a in this expression will be 1/2.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.4

The given expression [tex](\frac{m^{1/4} }{6m^{3/4} } )^-1[/tex]

=[tex](\frac{6m^{3/4} }{m^{1/4} } )[/tex]

=6 ([tex]m^{3/4-1/4}[/tex])

=6 ([tex]m^{1/2}[/tex])

a = 1/2

Hence the value of an in this expression will be 1/2.

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The ratio of green apples sold to red apple old is:

7:5

If the store sold a total of 48 apples and 20 of them were red, then the number of green apples sold is:

To find the ratio of green apples to red apples, we divide the number of green apples by the number of red apples and express the result as a fraction:

So the ratio of green apples to red apples is 7:5, or written as a fraction, 7/5. This means for every 5 red apples sold, the store sold 7 green apples.

The ratio of green apples to red apples is a way of comparing the number of green apples to the number of red apples sold in a specific time period.

It provides a way to understand the proportion of green apples relative to red apples, and can be useful for the store to track the popularity of different types of apples.

Complete Question:

"A produce store offer red and green apple. In one morning they sold 48 apple total. If 20 of the apple they sold were red, what is the ratio of green apple sold to red apple sold?"

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The graph of the set of inequalities is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

4x+8y is less than or equal to 8 and  5x+y is less than or equal to 10

4x+8y≤8

5x+y≤10

40x+8y≤80

40x+8y-4x-8y≤80-8

36x≤72

x≤72/36

x≤2

and now plug in x value

4(2)+8y≤8

8y≤0

y≤0

Hence, the graph of the set of inequalities is given in attachment.

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Answer:

11

Step-by-step explanation:

12-5+4=12-1=11

Answer:

Step-by-step explanation:

we have 1.33 cubic yards in 1 cubic meter,
we should find how many cubic meters equals 150 cubic yards.
so for 1.33 =1
          150=x
now , we cross multiply
x=150/1.33
x=112.78 that is the answer

Answer:

The answer is 63 miles per hour.

The distance (d) is multiplication of speed x and time (t):

d = x * t

d = 1,764 mi

t = 28 h

x = ?

1,764 mi = x * 28 h

x = 1,764 mi / 28 h

x = 63 miles per hour

Step-by-step explanation:

The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

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Answer:

Yes, through AA

Step-by-step explanation:

The angles of a triangle = 180

One angle is a right angle, which is 90. They give us an angle of 52.

Subtracting 180-90 = 90

Then subtracting 90-52 gives you 38

If you look at the other triangle... what's the given angle? It's 38

180-90=90

90-38 = 52

That 52 looks familiar

All the shaded regions of the overlap inequalities represents the located solution region of the system of linear inequalities , the overlap region is called intersection ( option C ).

Graph is attached.

Therefore, the solution region is represented by the shaded region called  (option C) intersection area of the system of linear inequalities.

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Answer:

n/2 + 7 is always equal to (n + 14)/2

Step-by-step explanation:

Both equations are the same, re-written.

Simplify the following:

n/2 + 7

Put each term in n/2 + 7 over the common denominator 2: n/2 + 7 = n/2 + 14/2:

n/2 + 14/2

n/2 + 14/2 = (n + 14)/2:

Answer:  (n + 14)/2

The scale factor is greater than 1. The drawing scale factor is 200.

What are the measuring units?

A unit of measurement is a specific magnitude of a quantity that has been established and adopted by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.

Given that, the sand volleyball court is 4 centimeters wide in the drawing. The actual length of the volleyball court is 8 meters wide.

The sacle factor is the ratio of the actual length to new object.

The scale fator is

8 meter : 4 centimeters

= 800 centimeters: 4 centimeters

= 800 : 4

= 200 : 1

=200/1

= 200

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Answer:

18 pages

Step-by-step explanation:

47 pages in total - 29 pages read = 18 pages left

y=2x-2 is the equation of the graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given figure the points are (2, 2)(3,4)(4, 6)

m=6-4/4-3

m=2/1

slope =2

Now let us find the y intercept

4=2(3)+b

4=6+b

b=-2

y=2x-2

Hence, y=2x-2 is the equation of the graph.

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Answer:

*1.5

Step-by-step explanation:

45/30＝1.5

use all ingredients *1.5 then get the ans

eg. 230g*1.5＝345g

150*1.5＝225

Answer:

352 inches squared

Step-by-step explanation:

The area of a triangle is 1/2 · base · height.  There are 4 of the same triangles here, so it would be (1/2 · 8 · 18) · 4 to find the surface area of all 4 triangles, but you can't forget about the base.  The area of a rectangle is length times width, so it would be 8 · 8.  This means the formula for the entire surface area of this square pyramid is ((1/2 · 8 · 18) · 4) + (8 · 8).  It can be simplified as follows:

((1/2 · 8 · 18) · 4) + (8 · 8)

((1/2 · 8 · 18) · 4) + 64

((4 · 18) · 4) + 64

(72 · 4) + 64

288 + 64

352

Reason: Divide both sides by 2. The inequality sign stays the same. The only time it flips if you divided both sides by a negative value.

The graph involves an open hole at 4 with shading to the left. The open hole means "exclude this value from the shaded solution set".

Ms. Losch can cut the original piece of rope into as many pieces as she wants, provided that each piece is the same length as the original.

If the original piece of rope is 12 inches long, she can cut it into 12 one-inch long pieces, 6 two-inch long pieces, 4 three-inch long pieces, 3 four-inch long pieces, 2 six-inch long pieces, or 1 twelve-inch long piece.

It is important to note that the pieces of rope must all be the same length, so if she wants to make any combination of the lengths, she must make sure that the total length of the pieces of rope adds up to the original length.

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The inverse function is the reverse of the original function and relationship between the two functions is determined by the mapping between the inputs and outputs of the original function.

In mathematics, the inverse function is a inverse function of a function is the reverse of the original function.

To understand the relationship between an inverse function and its original function, consider the following example. Suppose we have a function that maps the height of an object to its weight.

The original function would take the height as an input and output the corresponding weight. The inverse function, on the other hand, would take the weight as an input and output the corresponding height.

It is important to note that not all functions have an inverse. A function is only considered to have an inverse if it is a one-to-one mapping, meaning that each input has a unique output.

In summary, If the original function is a one-to-one mapping, then it has an inverse function that can be found by swapping the inputs and outputs.

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Answer:

The answer of the fraction is 4/5

Answer:

b)

Step-by-step explanation:

= 7/30 (5/15 ₊ 7/15) ÷ (25/30 - 18/30)

 = 7/30 (12/15) ÷ (7/30)

 = 7/30 (12/15) ×(30/7)

 = 12/15

 = 4/5

As far as we are aware, a straight angle is defined as 180 degrees then the bi-conditional assertion is true.

It combines the conditions "if two line segments are congruent then they are of equal length" and "if two line segments are of equal length then they are congruent." Only when both conditionals are true does a biconditional hold. The symbol "or" is used to denote bi-conditionals.

A statement with two conditions is one that has the form "p if and only if q." In other words, if p, then q and if q, then p. "P iff q" or "p q" are other ways to express the biconditional "p if and only if q."

Since we have given that

1)  If and only if the angle's measurement is 90 degrees, it is a right angle : True.

As is common knowledge, one angle in a right-angled triangle must be 90 degrees.

2) If and only if an angle is obtuse, it measures 120 degrees : True

Obtuse angle is a term used to describe angles that are more than 90° but less than 180°.

And 90°<120°<180°

3) Only if the angle is a straight angle does it measure 180 degrees : True

As far as we are aware, a straight angle is defined as 180 degrees.

As a result, every bi-conditional assertion is true.

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After making the deposits, your new balance will be $12

For given pie chart, 600 sixth graders were surveyed.

What is a pie chart?

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. A pie chart requires a list of categorical variables and numerical variables. To find out the composition of something, Pie-chart works the best at that time. In most cases, pie charts replace other graphs like the bar graph, line plots, histograms, etc.

The total value of the pie is always 100%.

Now,

Given percentage of 6th graders that own birds=5%

and no. of birds they own=30

that means 1% birds are owned by 6 students.

Therefore for 100% students= 6*100=600 6th graders.

Hence,

          For given pie chart, 600 sixth graders were surveyed

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Answer:

The correct answer is the second alternative!

Answer:

y = 5

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Because the slope is 0 and the y-intercept is 5, our equation will be

y = 5