Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

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answer:

x = 4

y = -3

steps :

x = 10 + 2y

x + y = 1

2y = x - 10 -> y = 1/2x - 5

x + y = 1 -> y = 1 - x

since theyre both equal to y they are equal to each other

1/2x - 5 = 1 - x

3/2x = 6

x = 4

plug 4 back where x is

y = 1 - 4

y = -3

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Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

Option B is correct

The shape of the distribution described the Left skewed.

A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.

A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.

A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.

Hence, considering the above definition the given histogram data falls on right side.

So, it is left skewed graph.

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The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube

We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.

Of the given options, the only one that has a sample space of 24 elements is the first one.

Toss a coin twice and then roll a D6.

For each coin toss, the outcomes are 2 (tails and heads).

For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)

Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:

C = 2*2*6 = 4*6 = 24.

From this, we conclude that this is the correct option.

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Answer:

the correct ones are

2, Select a card from a set of cards with the letters A through D, then spin this  once.

5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

6, spin this and roll an 8-sided number cube with the digits 1 to 8.

Step-by-step explanation:

so basically both the colored wheel answers and the one with the coin and cube

plato 2022

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify following

Solve:

[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =4[/tex]

The sum of this infinity series is 4

Answer:

Area = 38 ft^2

Step-by-step explanation:

Divide two parts of a rectangle.

Big Rect: A = 10 ft * 3 ft = 30 ft^2

Small Rect: A = 2 ft * 4 ft =8 ft^2

Total Area = 30 + 8 = 38 ft^2

Answer:

(3, 2)

(9, 10)

Step-by-step explanation:

Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5

Answer:

128

Step-by-step explanation:

multiply length, width, and hight.

[Not including the "triangle roof"] 128 in²

    V = L * W * H

    V = 8 in * 4 in * 4 in

    V = 128 in²

[Including the "triangle roof"] 176in²

    V = [tex]\frac{ L * W * H}{2}[/tex]

    V = [tex]\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}[/tex]

    V = [tex]\frac{96\;in^2}{2}[/tex]

    V = 48 in²

        -

    48 in² + 128 in² = 176in²

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

Using the Euclidean algorithm  integer integers $x$ and $y$  is: [ (-30 + 37k ), (133 - 164k) ].  

Given:

$164x + 37y = 1

First step

Sequence of quotients

4(37) + 16=164

2(16) + 5=37

3(5) + 1=16

4(1) + 1=5

1(1) + 0=1

       4     2     3     4     1

1 0     1     2     7    30    37

0 1     4     9    31  133  164

Determinant

(164×30) - (37×133)

=4,920-4,921

= -1

164(-30) + 37(133)

=-4,920+4,921

= 1  

Second step

Integer

[(x + bk), (y - ak) ]

Where:

x = -30

y = 133

k=integer

Hence:

[ (-30 + 37k ), (133 - 164k) ]  

Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].  

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Step-by-step explanation:

try this solution, note, the answers are underlined with green colour.

Answer:

#9 is 6 #10 is 1 #11 is 7 #12 is 6

Step-by-step explanation:

Answer: SE = √. pA(1 - pA). nA. +. pB(1 - pB). nB. = √. 0.08(0.92). 200. +. 0.344(0.656). 200. = 0.039. (b) The sample sizes of 200 are large enough

Step-by-step explanation:

Answer and Step-by-step explanation:

Hey there!

To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2

*Remember, the "x-value" is the input and the "y-value" is the output*

The first input is -5

2(-5)+2

-10+2

g(x) = -8

The second input is -1

2(-1)+2

-2+2

g(x) = 0

The third input is 1

2(1)+2

2+2

g(x) = 4

The fourth input is 4

2(4)+2

8+2

g(x) = 10

The fifth input is 5

2(5)+2

10+2

g(5) = 12

Answer:

see below

Step-by-step explanation:

g(x) = 2x+2

Let x = -5     g(-5) = 2(-5) +2 = -10+2 = -8

Let x = -1     g(-1) = 2(-1) +2  = -2 +2 = 0

Let x = 1      g(1) = 2(1) +2  = 2+2 = 4

Let x=(4)   g(4) = 2(4) +2 = 8+2 = 10

Let x = 5  g(5) = 2(5) +2 = 10+2 = 12

Answer:

4/3, -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4a. yes: 5 = 3(2)-1    5 = 6 - 1      5 = 5

4b.  No: 1 = 3(4) + 1

      1 = 12 + 1

       1 ≠ 13

4c. No; 1 = 3 - 3

            1 ≠ 3

4d. yes; 7 = -3(5) + 22

              7 = -15 + 22

              7 = 7

4e. no; -8 = -2(-4)

             -8 ≠ 8

4f. no; 8 = -2 + 11

           8 ≠ 9

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Answer:

First option is the correct answer

[tex] A(\triangle ABC) =572\: yd^2[/tex]

Step-by-step explanation:

Answer: $25.90

Step-by-step explanation:

We will have x as the youngest son's share, (the youngests son's share is the basis)

(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)

(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)

and 64.90 as their share altogether.

To find the youngest son's share:

(x) + (x + 4.30) + (x - 7.80) = 64.90

x + x + 4.30 + x - 7.80 = 64.90

x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)

Solve...

x + x + x = 64.90 - 4.30 + 7.80

3x = 68.40 (divide both sides by 3)

[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]  

x = 22.80

(The youngest son's share is $22.80)

To get the eldest son's share:

x + 4.30 (substitute x since it has already been solved)

22.80 + 4.30 = 27.10

The eldest son's share is $27.10

Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

Answer:49 miles per hour

Step-by-step explanation: 14 miles times 35 miles = 490

but the 0 will not matter so steve was going 49 miles per hour

HOPE THIS HELPS YOU:)

Answer:

Area=154.062 [tex]m^{2}[/tex]

Step-by-step explanation:

As Circumference of a circle is given by;

[tex]C=2\times \pi\times r[/tex]

As the circumference is 44m so we can calculate the value of r by using the above formula.

[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]

Now to Calculate the Area of a Circle.

As the area of a circle is,

[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

Answer:

[tex] \\ \\ 90-60=30degree \\ \\ [/tex]

Answer:

15° and 75°

Step-by-step explanation:

The sum of the measures of complementary angles is 90.

Angle 1 measures x.

Angle 2 measures x + 60.

Their sum is 90.

x + x + 60 = 90

2x + 60 = 90

2x = 30

x = 15

x + 60 = 75

Answer: 15° and 75°