Six sophomores and 14 freshmen are competing for two alternate positions on the debate team.

Which expression represents the probability that both students chosen are sophomores?
​
I think the answer is B<==

Answer:

Rafael will read 240 pages.

Step-by-step explanation:

Let's start by setting up the unknowns:

x = # of Rafael's pages

x/2 = # of Philippe's pages

(3/4)x = # of Denise's pages

Set these all equal to 540:

(x) + (x / 2) + (3/4(x)) = 540

Let's multiply both sides by 4 to make this easier.

4x + 2x + 3x = 2160

9x = 2160

x = 240

x was the # of Rafael's pages, so Rafael will read 240 pages. This means that Philippe will read 120 pages (one-half of Rafael), and Denise will read 180 pages (three-fourths of Rafael). Adding these all up will get you 540 pages, so it checks out.

Hope this helps!

7.5 x 102 (7.5????) x 103

Step-by-step explanation:

you will be all the question with multiply and you will get the answer

793,743.75

Answer:

X= [tex]\frac{b}{2}[/tex]-28

Don’t know what B is, sorry.

Step-by-step explanation:

Answer: 26.25 is the answer

Step-by-step explanation:

Answer: $48.75

Step-by-step explanation:

$100% - 35% = 65% of the original price

so,

$75 * .65 = 48.75

Answer: x = -.63, -2.37

Step-by-step explanation:

x=−32±3–√2

x=−0.633975

x=−2.36603

Find the Solution for

2x2+6x+3=0

using the Quadratic Formula where

a = 2, b = 6, and c = 3

x=−b±b2−4ac/√2a

x=−6±62−4(2)(3)/√2(2)

x=−6±36−24/√4

x=−6±12−−√4

The discriminant b2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=−6±23–√4

x=−64±23–√4

Simplify fractions and/or signs:

x=−32±3–√2

which becomes

x=−0.633975

x=−2.36603

answer :

$76,000

Step-by-step explanation:

reword it

4% of annual salary is 3040

.04x = 3040

x= 3040 ÷ .04

x=76,000

ZCAB angle is congruent to ZBAD

The triangles ΔDAB and CAB are congruent and measure of ∠BAD = measure of ∠CAB

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔCAB

Let the second triangle be represented as ΔDAB

Now , the measure of BD = measure of BC ( given )

The measure of side AB = measure of side AB ( reflexive property )

And , the measure of ∠BAD = measure of ∠CAB

So , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

1.4

Step-by-step explanation:

i did the math

Answer:

ANSWER =13,24,14 is the answer

Step-by-step explanation:

please follow

13,24,14(D)

Explanation: The

[tex] {even}^{th} [/tex]

number (i.e 22,23) can be obtained by adding 11 to its previous number. Ex. 23 = 12 + 11

XD

Answer:

664 ft²

Step-by-step explanation:

The rectangular yard has dimensions 36 ft by 55 ft.

The area of the yard is 36 ft × 55 ft = 1980 ft²

The walkway inside the fence is 4 ft wide. The area inside the walkway has dimensions

36 ft - 2 × 4 ft = 28 ft

55 ft - 2 × 4 ft = 47 ft

The area of the rectangle inside the walkway is 28 ft × 47 ft = 1316 ft²

The area of the walkway is the difference between the total area enclosed by the fence and the rectangle inside the walkway.

area of walkway = 1980 ft² - 1316 ft² = 664 ft²

Answer:

D. 287.6 cm²

Step-by-step explanation:

» Concept

The lateral surface area of a 3D figure is the surface area of the solid, excluding the bases. For a cylinder, the bases are the two circles on top and bottom. The formula to find the LSA of a cylinder is 2πrh, where r = radius of the circle and h = height.

» Application

We are asked to find the lateral surface area of the cylinder given the radius as 4.2 cm and the height as 10.9 cm.

» Solution

Now, as you can see, the closest answer choice to 287.4984 is D. 287.6 cm².

Answer:

the answer of it is 2902581

The measure of the angle m∠CBD that forms an adjacent angle is 35 degrees.

Adjacent angles are angles that have common side and vertex.

Therefore, the common vertex is at point B.

m∠CBD = m∠ABD -  m∠ABC

Therefore,

m∠ABD = 75 degrees

m∠ABC = 40 degrees

Hence,

m∠CBD = 75 - 40

m∠CBD = 35 degrees

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Pierre's question : What is the probablity of flipping a head and picking a white or black marble at the same time?

The probability of flipping a head is 50%, or 1/2
The probably of randomly picking a white or black marble is (3+9)/(3+9+8) = 12/20.

So, the probability of they happening simultaneously is 1/2 x 12/20 = 12/40.

Answer:

Step-by-step explanation:

A=4

B=6

C=2

D=3

E=5

F=1

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Find the radius

  circumference = pi d

           16 pi        = pi d

      then d = 16      radius = 8    units

area of the TWO ends  = TWO * pi (8)^2 =128 pi   units^2

Find the height

  hypotenuse = 10     one leg = radius = 8

          10^2 = 8^2 + h^2

               h = 6 units

lateral area =   circumference * height

                    =   16 pi * 6 = 96 pi    units^2

total area is then   128 pi + 96 pi = 224 pi  units^2

Answer:

2,050 grams because

2 Kilo = 2,000 Grams

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Any number divided by 0 is undefined.

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

[tex]\blue\textsf{\textbf{Question:-}}}[/tex]

What is 986/0?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer With Solution:-}}}}}[/tex]

If we divide a number by zero, it will result in infinity, which is not a number.

That's why we can't divide by 0.

So the answer is undefined.

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

[tex]\text{If the number is x,}\\\\~~~~10\% \cdot x = 16\\\\\implies \dfrac{10x}{100} = 16\\\\\implies \dfrac x{10} = 16\\\\\implies x = 160\\\\\text{Hence,}~ 5\% \text{ of}~ 160 = \dfrac{5 \times 160}{100}=8[/tex]

Answer:

1530 x 2.6

Step-by-step explanation:

Just multiply, 90 divided by 1530, multiply 1530 x 2.6

Answer:

$127,566.28

Step-by-step explanation:

Finding compound interest :

Answer:

112 62 174

8 78 86

120 140 260

Step-by-step explanation:

You can solve this problem easily by looking at the total amounts compared to the information you already have. Once you do this, you can simply subtract them from each other to find the first two empty boxes, then you can just add across for the totals for the boxes on the right.

The complete two-way table looks like:-

.                                                        Identified As:

                                               Savers   Spenders   Total

                        Savers              112           62           174

Wants to be:    Spenders             8            78             86

                        Total                 120          140           260

A two-way table displays the frequencies or relative frequencies of two categorical variables. One category is represented by rows, while the other is represented by columns.

In the question, we are asked to complete the two-way table as per the given information.

In the first row, second column:

The box needs the data for the number of spenders who want to become savers.

In the provided information, we have been told that of the 140 people who identified themselves as spenders, 78 said they would continue being spenders, while the rest said they would like to be savers.

Thus, the number of spenders who want to be savers = 140 - 78 = 62.

Hence, entry is 62.

In the first row, third column:

The box needs the data for the number of people who now want to continue as savers, or become one.

This can be shown as the sum of the first two readings of the row.

Thus, the total number of people who now want to continue as savers, or become one = 112 + 62 = 174.

Hence, entry is 174.

In the second row, first column:

The box needs the data for the number of savers who want to become spenders.

In the provided information, we have been told that of the 120 people who identified themselves as savers, 112 said they would continue being savers, while the rest said they would like to be spenders..

Thus, the number of savers who want to be spenders = 120 - 112 = 8.

Hence, entry is 8.

In the second row, third column:

The box needs the data for the number of people who now want to continue as spenders, or become one.

This can be shown as the sum of the first two readings of the row.

Thus, the total number of people who now want to continue as spenders, or become one = 8 + 78 = 86.

Hence, entry is 86

Thus, the complete two-way table looks like:-

.                                                        Identified As:

                                               Savers   Spenders   Total

                        Savers              112           62           174

Wants to be:    Spenders             8            78             86

                        Total                 120          140           260

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Answer:

5

Step-by-step explanation:

first 5 seconds the height keeps increasing