Please help! Which statement belongs in space number 3?

Answer:

6 medians.

Step-by-step explanation:

because the medians of 5 and 7 is 6.

we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder.

How to solve the problem ?

The given information states that the cross-sectional areas of a triangular prism and a right cylinder are congruent, and both have a height of 5 units. Based on this information, we can conclude that the volumes of the two shapes may be equal, but we cannot conclude that the volume of the prism is half or twice the volume of the cylinder.

To determine the volumes of the two shapes, we need to know their respective formulas. The volume of a triangular prism is given by V = (1/2)bh, where b is the length of the base of the triangular cross-section and h is the height of the prism. The volume of a right cylinder is given by V = πr²h, where r is the radius of the circular cross-section and h is the height of the cylinder.

Since the cross-sectional areas of the two shapes are congruent, we can assume that their bases are similar. Therefore, the base of the triangular prism must be a triangle with the same area as the circular base of the cylinder. However, without further information about the shape and size of the cross-section, we cannot determine the values of b and r.

Therefore, we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder. The only conclusion that can be made is that the volume of the prism is equal to the volume of the cylinder, assuming that the cross-sectional areas are congruent.

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Answer:

Below

Step-by-step explanation:

Solve the given equation for y

3x+9y = 18

9y = -3x + 18       divide by 9

y = - 1/3 x + 2     done

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

what's my 19 answering your question sorry I have no idea what the answer is bio

The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 5 - 7 ) / ( 4 - 8 )

Slope = -2 / -4

Slope = 1 / 2

Calculate the y-intercept,

y = mx + c

5 = 1 / 2 x 4 + c

c = 5 - 2 = 3

The equation is written as,

y = mx + c

y = 1/2x + 3

Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The production possibility curve is a graphical representation of the trade-off between two goods and the maximum combinations of goods that can be produced with limited resources.

A production possibility curve (PPC) is a graphical representation of the maximum combinations of two goods that can be produced with limited resources.

Efficiency: The point at which the production possibility curve is at its maximum efficiency is called the production possibility frontier (PPF). This is represented by a point on the curve that is tangent to the PPF.

Underutilization: If a society is producing below the production possibility frontier, it is considered underutilized.  This is represented by a point on the curve that is below the PPF.

Specialization Points (Radical Points): The radical points are the points on the curve where only one of the two goods is produced. This is represented by a point on the curve that is either the Y-intercept or the X-intercept.

Unattainable Point: The unattainable point is the point that is beyond the production possibility frontier. The curve represents the maximum possible production, so any point beyond the PPF is unattainable.

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Answer:

13/40

Step-by-step explanation:

The period they have played can be divided into 3 parts:

● The time Amy wins

● The time Lily wins

● The time they tie

So the sum of them is the total time of playing.

Let A be the time Amy wins, L the tile Lily wins and T the time they tie .

●●●●●●●●●●●●●●●●●●●●●●●

Since we have expressed the times using fractions then the total period of playing is 1 wich is 100%.

So:

A + P + T = 1

3/8 + 3/10 + T = 1

Multiply 8 by 10 and 10 by 8 so that you get a common denominator.

Cross multiply the numerators and the denominators.

(3*10+3*8)/80 + T = 1

(30 + 24)/80 + T =1

54/80 + T = 1

(27*2)/(40*2) + T = 1

Simplify by 2

27/40 + T = 1

T = 1 - 27/40

Multiply one by 40 to get a common denominator

T = (40-27)/40

T = 13/40

So they have tied 13/40 of the time

Answer:

what do you need help with

Here is the full question.

Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).

a.) n = 64, p = 0.8

b.) n = 256, p = 0.8

Answer:

a.) Mean = 0.8

   Standard deviation = 0.05

b.)  Mean = 0.8

     Standard deviation = 0.025

Step-by-step explanation:

From the given information:

a.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 64

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)

\(sd(\hat p) = \sqrt{0.0025}\)

\(\mathbf{sd(\hat p) =0.05}\)

b.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 256

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)

\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)

\(\mathbf{sd(\hat p) =0.025}\)

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

Answer:

Step-by-step explanation:

This in standard form (Ax + By = C.) In order to make this slope-intercept form, you need to isolate y.

y = -1.5x + 2.75

y=mx + b is slope intercept, where m is the slope and b is the y-intercept.

In this case, -1.5 is the slope and 2.75 is the y-intercept.

Hope this helps!!

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

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

Answer: B. 12

Step-by-step explanation:

1) Alan can make 2.5 cookies per min

2) Abi can make 8/3 which is 2.7.

3) overall, 5.2 cookies per minute can be made.

multiple 5.2 x 6 and you get around 31.5?

then subtract =1. you have 30.5, now add onto that number 31.5, which is another 6 minutes. since you're still only subtracting 1, the answer would be above 60, which is 5 dozen, and it only took 12 mins

Answer: The line segments are equal in length

AC = BC = 5

Step-by-step explanation:

PLATO answer

The equation that relates the height of the kite to the speed of the wind is: h = 5w.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.

Using the three data points we have, we can calculate the slope of the line as follows:

m = (y2 - y1) / (x2 - x1)

= (75 - 50) / (15 - 10)

= 25/5

= 5

Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.

For example, using the point (10, 50):

50 = 5(10) + b

b = 0

So the equation that relates the height of the kite to the speed of the wind is:

h = 5w

where h is the height of the kite in feet, and w is the speed of the wind in mph.

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Answer:

y = -14/5

Step-by-step explanation:

5y - 6 = -20

=> 5y = -20 + 6

=> 5y = -14

=> y = -14/5

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer:

Each eraser costs $0.49

Step-by-step explanation:

If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.

1.47 ÷ 3 = 0.49

To prove this, you can multiple 0.49 by three.

0.49 × 3 = 1.47

Therefore, your answer will be $0.49 per eraser.

(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)

Answer:

$0.49

Explanation:

1.47 divided by 3 is 0.49.      

°ω°  

:⊃

°∨°

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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The total resistance is equal to r = x(x + 1)/(2x + 1).

Based on the information provided, we can logically deduce that a mathematical expression for two (2) resistors whose resistances are r_1 and r_2 and connected in parallel is given by:

1/r = 1/r₁ + 1/r₂

Substituting the given parameters into the formula for two (2) resistors that are connected in parallel, we have the following;

1/r = 1/r₁ + 1/r₂

1/r = 1/x + 1/(x + 1)

By taking the lowest common multiple (LCM) and collecting like-terms, we have:

1/r = (x + x + 1)/x(x + 1)

1/r = (2x + 1)/x(x + 1)

Taking the inverse of both sides, we have:

r = x(x + 1)/(2x + 1).

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Answer:

11 buses

Step-by-step explanation:

From the diagram above, we have been told to find the values of angles d and c.

The angles formed at point W in the diagram all add up to 180 degrees.

Next, we can find angle d using the theorem that states "All the angles in a triangle add up to 180 degrees"

To find d, consider triangle YZW and apply the above theorem.

Answer:

Janet reads 13.865 pages in 4.7 minutes.

Step-by-step explanation:

Given that Janet can read 2.95 pages of a book in a minute.

As she reads for 4.7 minutes.

We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.

i.e.

4.7 × 2.95 = 13.865 pages

Therefore, Janet reads 13.865 pages in 4.7 minutes.

The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

\(x^2 + 18x - 5760 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)

\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

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Answer:

number of Lola hats = h

number of Polly hats = 3h

number of Darla hats = 3h - 8

Step-by-step explanation:

Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.

Let

number of Lola hats = h

number of Polly hats = 3h (recall Polly has triple as many as Lola)

number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)

The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats.  Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.