All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

A 2-column table has 4 rows. The first column is labeled Class with entries freshmen, sophomores, juniors, seniors. The second column is labeled Number of people with entries 31, 10, 17, 22.

Twice during the assembly, a student is chosen at random to assist with the presentation. After the first student has finished assisting, the student returns to the group and can be chosen a second time. What is the probability that the first student chosen is a senior and the second student chosen is a sophomore?

StartFraction 11 Over 320 EndFraction
StartFraction 3 Over 80 EndFraction
StartFraction 11 Over 40 EndFraction
Two-fifths

Answer:

x = 35

y = 17.5

Step-by-step explanation:

By Central angle and its corresponding arc theorem:

x° = 360° - (175° + 150°)

x° = 360° - 325°

x° = 35°

x = 35

By inscribed angle theorem:

[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]

Answer:

x=35         y=17.5

Step-by-step explanation:

This problem wants you to find the angles of an inscribed and central angle.

Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.

I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,

175+150= 325          

360-325=35

So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,

x=35

Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5

y=17.5

Answer:

The number of questions answered.

Step-by-step explanation:

Number of questions answered minus 5 questions she got wrong equals her final score.

Answer:

I think it is B, so the correct answer is 40

Step-by-step explanation:

Answer:

The other guy is correct, the correct answer is B. 40.

Step-by-step explanation:

Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40

Answer:

(A)

Step-by-step explanation:

The line QR is tangent at point R if it is perpendicular or makes a right angle to line PR. If so, then the Pythagorean theorem can be applied. And it turns out that indeed the aquarebof the length of line QP is equal to the sum of the squares of QR and PR.

Answer:

10/3 cubic units (proof below!)

Step-by-step explanation:

The volume of pyramid is, 10/3 cubic units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Here, We have;

Volume of triangular prism = Base area x Height

                                          = 10

And, Volume of triangular pyramid = 1/3 x Base area x Height

Since, The triangular pyramid has a congruent base and the same height.

Hence, The volume of pyramid = 1/3 x 10

                                                 = 10/3 cubic units

Thus, The volume of pyramid is, 10/3 cubic units

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:b

Step-by-step explanation:

x^( 2a - b ) + ( 2b + c ) + ( 2c + a ) =

x^2a + a + 2b - b + 2c + c =

x^3a - b + 3c

Step-by-step explanation:

Simply add the exponents after combining the bases

[tex] {x}^{2a - b} \times {x}^{2b - c} \times {x}^{2c + a} [/tex]

[tex] = {x}^{2a - b + 2b - c + 2c + a} [/tex]

[tex] = {x}^{3a + b + 3c} [/tex]

Answer:

75

Step-by-step explanation:

don't know how to explain hope this helps

it would be 75

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Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]

Answer:

10 times

Step-by-step explanation:

distance covered once is equal to the perimeter of the square

perimeter of the square = 4 x length

4 x 30 = 120 ft

number of times = 1200 / 120 = 1-

Answer:

Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study

Step-by-step explanation:

Answer:

Step-by-step explanation:

50

Answer:

a = 1m/s²

Step-by-step explanation:

Given the formula

s=ut+1/2at²

Given

s=30

u=2

t=6

Required

a=?

Substitute

A = 2(6) + 1/2a(6²

30 = 12 + 36a/2

30-12 = 18a

18 = 18a

Swap

18a = 18

a = 181/18

a = 1m/s²

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

The measure of an inscribed angle of a circle is exactly half the measure of the arc it forms.

Therefore, we have the following equation:

[tex]2(3x+25)=5x+60,\\6x+50=5x+60,\\x=\boxed{10}[/tex]

Let's simplify the ratio

[tex]\\ \sf\longmapsto 15:12[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 5:4[/tex]

Answer:

2(m + 3)/xa

Step-by-step explanation:

Answer:

A) $0.21

B) $0.13

C) B is the better buy by $0.08/oz

Step-by-step explanation:

A) 3.30 ÷ 16 = 0.20625 = $0.21

B) 8.60 ÷ 64 = 0.134375 = $0.13

C) $0.21 - $0.13 = $0.08 difference/ounce

Answer:  4

14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more

10+x=14

x=4

Answer:

Equation: 14 - j = 10

j = 4

Step-by-step explanation:

Answer:

Area is measured in square kilometres

Step-by-step explanation:

Volume measures the space inside a 3-dimensional objects

Answer:

18cm

Step-by-step explanation:

Answer:

180 degrees - 101 degrees - 65 degrees = 14 degrees

Answer:

D. 2√2

Step-by-step explanation:

sin 45° = 1/√2

P/H = 1/√2

x/4 = 1/√2

= 1/√2 × 4

= 4/√2

x = 4×√2/√2×√2

= 4√2 /2

= 2√2

Option D. 2√2

Answer:

Circumference of the circle with a radius of 5 is 31.42

Step-by-step explanation:

Answer:

The 1st one is: 31.4cm

Step-by-step explanation:

1st: 2 x 3.14 x 5 = 31.4

Answer:

x = 154°

Step-by-step explanation:

The 4 interior angles of the quadrilateral sum to 360°

The angles between the tangents and the radii = 90°

Then

x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°

Answer:

3 Beings

Step-by-step explanation:

If 20% of them preferred quect juice and 15 were surveyed, then 3 preferred quect juice because 20% of 15 is 3!

Hope this helps! :)

Answer:

49

Step-by-step explanation:

[tex]\sqrt{7(343)}[/tex]

= [tex]\sqrt{2401}[/tex]

= 49

Answer:

  [tex]\sqrt{7*343}=49[/tex] ✔︎

Step-by-step explanation:

[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

Answer:

D.   2/3

Step-by-step explanation:

Two distint points on the graph are

(0, -3) and (6, 1)

Slope = (rise in y) / (run in x)

Rise:

y goes from -3 to 1

rise = 4

Run

x goes from 0 to 6

run = 6

Slope = 4/6

reduce

Slope = 2/3

Answer:

1073 inches squared.

Step-by-step explanation:

To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.

To find the answer:

Area = length * width

Area = 29 * 37

Area = 1073 inches squared.

Don't forget to add the units!

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks