The contingency table below shows the results of a random sample of 400 state
that was conducted to see whether their opinions on a bill are
representatives
related to their party affiliation.
Opinion
Party
Approve
Disapprove
Totals
No
Opinion
Republican
84
40
28
152
Democrat
100
48
36
184
Independent
20
32
12
64
Totals:
204
120
76
400
What is the expected frequency for the cell E3,1? Round your answer to the
nearest tenth.
32.6
45.3
28.9
38.3

Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

  A.  200 packages

Step-by-step explanation:

The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.

__

For each package:

  (2.375 in/piece)×(4 piece/package) = 9.5 in/package

Per roll:

  (1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll

  = 200 packages/roll

The machine can seal 200 packages with a roll of tape 1900 inches long.

Case 1

Case 2

Option A

It's impossible thing

Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.

I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.

Hope this helps!

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39  = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33    meaning    d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

Answer:

8 futballs

basketballs 18

beisballs 36

softballs 24

Step-by-step explanation:

dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18

cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36

seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24

LISTO

Answer:

1.5 gallons

Step-by-step explanation:

(3/4) × (2 gallons) = 1.5 gallons

HOPE THIS HELPS AND HAVE A NICE DAY <3

The similarities and differences in a non-fiction text look at how the subject or events are portrayed.

Comparing non-fiction texts can focus on the similarities between the texts - things they have in common. You can also contrast texts and focus on their differences - things that set the texts apart from each other. You could compare and contrast the following:

Form – What types of text (letter, news report, etc) are they?

Purpose – What job (persuading, informing, advertising) is each text doing?

Audience – Who is the intended reader of the text?

Subject matter – What are the texts about?

Language choices – What kinds of words, images or rhetorical devices are being used?

Structure – How is the text ordered?

Tone – What is the overall tone or mood of the writing?

Non-fiction texts are all around us, and comparing them can help you become more aware of how language is being used in society. Comparing non-fiction texts can often prompt you to notice things that you might not have considered about a text in isolation.

Hence the similarities and differences in a non-fiction text look at how the subject or events are portrayed.

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Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

The volume of the cone will be 10 cubic units.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.

Given that:-

The volume of the cone will be:-

Vc   =   Vcyl

[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]

Vc         =    (1  /  3)  Vcyl

Vc         =    ( 1  /  3  ) x  30

Vc         =     10  cubic units

Therefore the volume of the cone will be 10 cubic units.

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Answer:

  5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

__

  4.6×10^5 +6.7×10^4

  = 4.6×10^5 + 0.67×10^5

  = 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

__

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

Answer:

-2

2

Step-by-step explanation:

just use common sense. what does "local maximum" mean ?

it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.

(a) there is one point in this graph : at x = -2

(b) and that maximum value at that point is y = 2

Answer:

Answer with explanation is below~

Step-by-step explanation:

We could easily obtain the formulae/formula of an equilateral triangle not only through Pythagoras Theorem, but also through Heron's formula.

INTRODUCTION:

What's equilateral triangle?

What's Heron Formula?

[tex] \boxed{\rm \: Area= \sqrt{s(s - a)(s - b)(s - c)} \: units ^{2}} [/tex]

Where,

What's Pythagoras' Theorem?

SOLVING:

Let,ABC an equilateral triangle of sides a.

Now:Draw a perpendicular straight line AM to the side BC(Name each part of triangle)

So it's clear that ∆AMB is a right angled triangle at M, BM = (1/2)BC = a/2.

Please note AM here represents the height of ∆ ABC.

[tex] \boxed{\rm \: AM = \sqrt{AB^2-BM^2}}[/tex]

[tex] \rm \: AM = \sqrt{a {}^{2} - { \bigg( \cfrac{a}{2} \bigg) }^{2} } [/tex]

[tex] \rm \: AM = 3 \: \cfrac{a {}^{2} }{4} [/tex]

[tex] \rm \: AM = \cfrac{ \sqrt{3} }{2} \: a[/tex]

Now find the area of ∆ABC:

[tex] \rm \triangle \: ABC = \cfrac{1}{2} \times \: BC \times A [/tex]

[tex] \rm \: \triangle \: ABC = \cfrac{1}{2} \times a \times \cfrac{ \sqrt{3}}{4}a [/tex]

[tex] \boxed{\rm\triangle \: ABC = \cfrac{ \sqrt{3 } }{4} a {}^{2} \: units {}^{2}} [/tex]

Hence,the formulae of equilateral triangle using Pythagoras' theorem is {√(3)/4} a^2

[tex] \rule{225pt}{2pt}[/tex]

Extras:

Now let's find the area using Heron's Formula.

Solving:

Let each side of an equilateral triangle be a.

SO, then:

s = (3a/2)

We know that, (Heron's formula)

[tex] \rm \: A = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Now the area A :

[tex]\rm AR(A)= \sqrt{ \cfrac{ 3a } 2 \bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)} [/tex]

[tex]\rm AR(A)= \sqrt{ \cfrac{3a}{2} \bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)}[/tex]

[tex]\rm \boxed{ \rm AR(A)= \cfrac{ \sqrt{ 3a}}{4} \: a {}^{2} \: \: units {}^{2}} [/tex]

And voila! we're done!

I hope this helps! :)

[Figure of Equilateral triangle is attached, it denotes the triangle we need to draw while finding the formulae through Pythagoras' theorem. ]

Answer:

the binomial coefficient

Answer:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

Step-by-step explanation:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

[tex](2x + 1)(x + 1)[/tex]

•Distribute

[tex](2x + 1)(x + )[/tex]

[tex]2x(x + 1) + 1( x + 1)[/tex]

•Distribute

[tex]2x(x + 1) + 1(x + 1)[/tex]

[tex]2x² + 2x1(x + 1)[/tex]

•Multiply

[tex]2x² + 2x + 1(x + 1)[/tex]

[tex]2x² + 2x + x + 1[/tex]

•Combine like terms

[tex]2x² + x + x + 1[/tex]

[tex]2x²+ 3x + 1[/tex]

Solution:

[tex]2x² + 3x + 1[/tex]

Explanation:

see the graph

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

The table that correctly describes the given quadratic equation is table D.

A general quadratic equation is written as:

[tex]y = a*x^2 + b*x + c[/tex]

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

In this case, the quadratic equation is:

[tex]y = -2x^2 + 4[/tex]

Then we have:

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

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Answer: 42 easy!

Step-by-step explanation: 42 hope this helps

The possible number represented by the 9 counter is 27

The counters are given as:

12 counters and 15 counters

When added, we get a number that can be represented by 9 counters.

This means that:

12 + 15 = 9x

Evaluate the sum

27 = 9x

Divide by 9

x = 3

When subtracted, you need more than 9 counters.

This means that:

x = 15 - 12 = 3

So, we conclude that the number is a multiple of 3 and 9

In other words, the decimal number is a multiple of 9 (i.e. 27)

Hence, the possible number is 27

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Answer:

Step-by-step explanation:

Given a right angle triangle ABC.

If ∠BCA = 90°

the hypotenuse AB = 26

AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

Answer:

         [tex]\ tan \ A = \dfrac{24}{10}[/tex]

Step-by-step explanation:

[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]

The amount of money spent by these persons individually will be $ 93, $116, and $ 99.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.

Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.

Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.

Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.

If brand P costs € 4, Q costs € 5, and R costs € 6 each.

Then the amount of money spent by these persons individually will be

Then these are shown in the form of a matrix. Then we have

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]

Then the amount of money spent by these persons individually will be

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]

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[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]

[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]

Hope it helps !

Answer:

x=12

Step-by-step explanation:

Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:

5x-5=55

The first thing to do is to add 5 to both sides to get rid of -5:

5x-5=55

   +5  +5

    __ __

     0   60

So now, it's 5x=60

Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:

x=12

Hope this helped!

Answer: b) x = 12

Step-by-step explanation:

   The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.

Given:

(50°) + (75°) + (5x - 5°) = 180°

Combine similar terms:

120° + 5x = 180°

Subtract 120° from both sides of the equation:

5x = 60°

Divide both sides of the equation by 5:

x = 12

       Your answer is;

           b) x = 12

Answer:

2.5

Step-by-step explanation:

The radius of a cylinder formula is

Plug in

So . .

R = 2.5

( I rounded to the tenth decimal place so you know!)

Answer:

a) Time spent, x (minute): 50 < x ≤ 60

b) Time spent, x (minute): 20 < x ≤ 30

Step-by-step explanation:

a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)

b) Find the total amount of Frequency:

12 + 18 + 11 + 9 + 8 + 21 = 79

to find mid number through the data set divided by 2:

79 / 2 = 39.5

so add up the frequency till you reach 39.5 (max)

12 + 18 = 30

30 + 11 = 41   this passes through 39.5 so the median is in the 3rd row

total no of cards = 40

p(blue) = 8 out of 40

p(orange) = 8 out of 40

p(blue or orange ) = 16 out of 40

16÷40 = 2/5.

The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.

The expected value is used to calculate the weighted average of all the possible values of a random variable.

[tex]\sum_{i=1}^n=P_i\times V_i[/tex]

Here, P is the probability of winning a prize and V is the value of the price.

At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,

[tex]P=\dfrac{1}{100}[/tex]

There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,

[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]

Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.

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Answer:

Hope the picture will help you..............