A sorority has 33 members, 23 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (b) The first person selected is not a pledge. (c) The second person selected is a pledge if the first person selected was also a pledge. (d) The second person selected was a full member if the first person selected was a pledge. (e) The second person selected is a pledge if the first person selected was a full member. (f) The second person selected is a full member if the first person selected was also a full member. (g) The second person selected was a pledge.

The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 25 : 64

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio of the lengths of the radii of two spheres is 5 : 8.

Now, We get;

The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 5² : 8²

⇒ 5² / 8²

⇒ 25 / 64

⇒ 25 : 64

Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 25 : 64

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Answer:

20 in^2

Step-by-step explanation:

smh

base * height = area

Answer:

20

Step-by-step explanation:

B X H

Answer:

the answer is b

Step-by-step explanation:

Answer:

The answer is option 2.

Step-by-step explanation:

You have to use the formula of area of trapezium :

[tex]area = \frac{1}{2} \times (ab + cd) \times bc[/tex]

Let AB be 13 inches,

Let CD be 17 inches,

Let BC be 8 inches,

[tex]A = \frac{1}{2} \times (13 + 17) \times 8[/tex]

[tex] = \frac{1}{2} \times30 \times 8[/tex]

[tex] = \frac{1}{2} \times 240[/tex]

[tex] = 120 \: {inches}^{2} [/tex]

The graph (A) models the trend the manager notices.

"It is the set of points which satisfy given function or equation or model."

"It describes how much one variable, on average, changes when compared to another variable."

For given question,

The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline.

The x-axis represents the the average rate of customers served and Y-axis represents the time.

Consider graph (A)

The graph starts with a sharp but steady increase, is followed by a constant line with maximum value (the maximum number of customers per minute), and then there is a slow but steady decline.

Consider graph (B)

The graph starts with a slow but steady increase, is followed by a constant line with maximum value (the maximum number of customers per minute), and then there is a sharp but steady decline.

Consider graph (C)

The graph starts with a sharp but steady decrease, is followed by a constant line with minimum value (the minimum number of customers per minute), and then there is a slow but steady increment.

Consider graph (D)

The graph starts with a slow but steady decrease, is followed by a constant line with minimum value (the minimum number of customers per minute), and then there is a sharp but steady increment.

Therefore, the graph (A) models the trend the manager notices.

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Answer:

V = 3239

Step-by-step explanation:

The volume formula for a regular hexagonal prism is 3√3/2a^2h when you input the values you get 3238.74, rounded to the nearest whole number you get 3239, the student most likely used the radius of the hexagon in the equation instead of the height.

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Answer:

volume is 3,439 cm

Step-by-step explanation:

The volume formula for a regular hexagonal prism is 3√3/2a^2h when you input the values you get 3238.74, rounded to the nearest whole number you get 3239, the student most likely used the radius of the hexagon in the equation instead of the height.

I hope this helps

Answer:

6.878

Step-by-step explanation:

I took the quiz

The nearest thousandth of the number will be 6.878.

Scientific notation is the technic to express the larger or smaller numbers in the calculations to make calculations easy to solve and understand.

Given number 6.8784 can be rounded to the nearest thousandth by ignoring the three numbers after the decimal.

Therefore the nearest thousandth of the number will be 6.878.

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Answer:

37 degree

Step-by-step explanation:

AB = 180 it is a straight line

ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

Without additional information, such as a diagram or specific measurements, we can't solve the presented problem. The problem seems to involve Properties of Intersection and possibly Trigonometry. Further details or a specific diagram are needed for an accurate solution.

I'm sorry, but without additional information, such as a diagram, specific measurements, or the relationship involving variable 'g', we cannot solve the problem you've presented. Segments AB, EF, and CD intersecting at point C and angle ACD being a right angle, doesn't indicate how or where 'g' is related to these elements within your problem.

The principle that you seem to be dealing with is the Properties of Intersection and possibly the concepts of Trigonometry.

Should 'g' be an angle, trigonometry might be used to find its value. If 'g' is a segment, then concepts of intersection, parallel lines, or angle properties might solve it. Nevertheless, please provide further details or a precise diagram for an accurate solution.

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Rolling two dice is an example of independent events. It means that knowing the result of one die does not influence what you expect from the other.

When this is the case, the probability of the compound event is the product of the two probabilities.

Each die shows an odd number with probability 3/6=1/2, because there are three odd numbers (1, 3 and 5) out of the six possible numbers the die will show (1, 2, 3, 4, 5, 6).

So, if you multiply the probabilities of each die showing an odd number, you'll get the probability of the compound event.

Answer: The answer is D.

Answer:

D

Step-by-step explanation:

That’s kinda it

Answer:

True

Step-by-step explanation: 1 yard = 3 feet

Answer:

Use 3.14 for p and do not round your answer. The circumference of a circular garden is 128.74 feet. What is the diameter of the garden? Use 3.14

Radius (r) = 15 feet

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.

Circumference of a Circle Formula:

The Circumference (or) perimeter of circle = 2πr

where,

r is the radius of the circle

π is the mathematical constant with an approximate (up to two decimal points) value of 3.14.

Given,

Circumference of the circular garden:

C = 94.2 feet

Radius (r) =?

Circumference (C) = 2πr

94.2 = 2×3.14 × r

r = 94.2/6.28

r = 15 feet

Hence the radius of the park is 15 feet.

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Answer:

I believe it's B.

Answer:

B, A, C

Step-by-step explanation:

Answer:

Step-by-step explanation:

On each of those equations, combine like terms.

[tex](3x^{2}-7x +14) + (5x^{2} +4x-6)\\ 3x^{2} +5x^{2} = 8x^{2} \\-7x+4x=-3x\\14-6=8\\Your expression would be: 8x^{2} -3x+8[/tex]

This expression would be equivalent to B

[tex]( 2x^{2} -5x-3)+(-10x^{2} +2x+7)\\2x^{2} -10x^{2} =-8x^{2} \\-5x+2x=-3x\\-3+7=4\\[/tex]

Your expression would be: [tex]-8x^{2} -3x+4[/tex]

This expression would be equivalent to A

[tex]( 12x^{2} -2x-13) + (-4x^{2} +5x+9)\\12x^{2} -4x^{2} =8x^{2} \\-2x+5x=3x\\-13+9=-4[/tex]

Your expression would be: [tex]8x^{2} +3x-4[/tex]

This expression would be equivalent to C

d

Step-by-step explanation:

Answer:

Answer: 15

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Simplify  |-10|  to 10.

10+∣5∣

Simplify.

15

Answer:

12.1

Step-by-step explanation:

Answer: 12.1

Because you have to plug in your numbers in the expression d = 7km

Answer:

x = -5

y = -3

Step-by-step explanation:

Since it already gives you the value of y, all you need to do to solve for x, is to plug in the number into the equation, like so:

y = x + 2

-3 = x + 2

Now, subtract 2 from both sides:

-3 = x + 2

-2       - 2

________

-5 = x

So now you have, x = -5 and y = -3

So you first set them equal to each other I pretty sure...

x+2=-3

Then you solve so...

x+2=-3 (bring the two over)

x=-3-2 (you add and keep the negative sign)

x=-5

Let me know how this works out!

The Pythagorean theorem, established by the ancient Greek philosopher Pythagoras, defines the relationship in a right-angled triangle between the squares of the lengths of the legs (a and b) and the hypotenuse (c) with the famous equation: a² + b² = c².

The Pythagorean Theorem

The Pythagorean theorem is a fundamental principle in the field of mathematics, specifically in geometry. It was established by the ancient Greek philosopher, Pythagoras, who made significant contributions to understanding the relationships in geometric figures. The theorem reveals a specific relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (√), which is the side opposite the right angle, is equal to the sum of the squares of the lengths of the other two sides. This can be elegantly expressed in the formula: a² + b² = c². Here, a and b represent the legs of the triangle, while c represents the hypotenuse.

For example, if a right triangle has legs of lengths 9 units and 5 units, using the Pythagorean theorem, we can calculate the length of the hypotenuse. We would square each of the legs (√9² + 5²), add these together, and take the square root to find that the hypotenuse is approximately 10.3 units long.

This theorem is not only a theoretical concept but is also practical in various real-world scenarios, such as calculating distances in navigation. An old adage suggests that the shortest distance between two points is a straight line. When dealing with the distances on a map or between points in space, a right triangle can often form, and using the Pythagorean theorem allows us to calculate the direct straight-line distance (hypotenuse) easily.

Answer:

The answer you put is right. Its 1120 :)

Step-by-step explanation:

Answer:

Around 1806.42