-x+7y=51
-x-4y=-26
What is the solution to the system of Elmination

The length of each side of the square will be 1 yard.

A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

The square's perimeter is four times as long as its side.

For a square with a side length of a unit, we get:

Perimeter of the square = 4a unit

A square has a perimeter of 4 yards. Then the length of each side of the square will be given as,

4 = 4a

a = 1 yard

The length of each side of the square will be 1 yard.

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The most suspicious set of outcomes of 30 games played between the two computers would be option C: ABBABABABABBABABABABABABABABAA.

In a fair game where player B is supposed to win 4 out of 5 times, we would expect player B to win approximately 24 out of 30 games.  However, option C shows player B winning only 6 out of 30 games, which deviates significantly from the expected outcome.

This set of outcomes suggests a strong bias towards player A winning, as player B's wins are significantly lower than expected.

It is highly unlikely to observe such a low success rate for player B if the game was truly biased in favor of player B winning 4 out of 5 times.

Option C raises suspicions of an unfair advantage given to player A, potentially indicating some manipulation or incorrect implementation in the programming of the game.

Further investigation would be warranted to determine the cause of this biased outcome and to ensure fair play between the two computers in future games.

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The correct box plot would have a box extending from 15 to 21, with a median line at 19, and whiskers extending from 12 to 24. So, correct option is A.

To create a box plot, we need to first find the five-number summary, which includes the minimum value, first quartile (Q₁), median, third quartile (Q₃), and maximum value.

The minimum value in the given data set is 12 and the maximum value is 24. To find the median, we need to find the middle number of the set. Since there are nine numbers in the set, the median would be the average of the fifth and sixth numbers, which is 19.

To find the first quartile (Q₁) and third quartile (Q₃), we can find the medians of the lower and upper halves of the data set, respectively. The lower half of the data set includes the numbers 12, 15, 15, 17, and 19. The median of this set is 15. The upper half of the data set includes the numbers 19, 20, 22, and 24. The median of this set is 21.

Using these values, we can create a box plot with a box extending from Q₁ to Q₃, a line in the box indicating the median, and whiskers extending from the box to the minimum and maximum values.

So, correct option is A.

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Complete question is:

The data below represents the number of runners on each cross country team in the Northern Conference. 12, 15, 15, 17, 19, 19, 20, 22, 24.

Which box plot correctly summarizes the data?

Answer: 10, And i dont know how to really explain but the answer is 10

The compound interest and the amount are $2349980000 and $2.35 * 10⁹

From the question, we have the following parameters that can be used in our computation:

Principal = $20,000

Rate = 800% per minute = 8

Duration = 12 seconds

n = 20 i.e. every 3 seconds

The amount is calculated as

A =  P(1 + r/n)^(nt)

So, we have

A = 20,000(1 + 8/20)^(20*12)

A = 2.35 * 10⁹

So, we have

Interest = 2.35 * 10⁹ - 20000

Interest = 2349980000

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The statements that are true regarding the diagram given are:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

We have in the diagram that in the diagram given, the statements that are all true are:

m∠3 + m∠4 = 180° (angles on a straight line)

m∠4 = m∠1 + m∠2 (external angle theorem)

m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

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Step-by-step explanation:

answer is in the above photo

there are 29 boys total

Answer:

The value of angle BAC = 75°

Step-by-step explanation:

=> Angle BAC + 105° = 180°

=> Angle BAC = 180° - 105°

=> Angle BAC = 75°

Answer:

60=5k

Step-by-step explanation:

k=12

I did it on Khan and got it right!

ummmmmmmmmmmmm 143 degrees (sorry for the um i needed 20 characters)

give me brain plz.

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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Answer:

Step-by-step explanation:

Let the radius of the cylinder be $r$ and the radius of the base of the cone be $R$. Then the height of the cylinder is $3r$ and the height of the cone is $6R$. Since the cylinder is inscribed in the cone, the radius of the cylinder is equal to the radius of the base of the cone.

The volume of the cylinder is $V_{cyl}=\pi r^2(3r)=3\pi r^3$, and the volume of the cone is $V_{cone}=\frac13\pi R^2(6R)=2\pi R^3$. We want to find the ratio of the volume of the cylinder to the volume of the cone.

Since the radius of the cylinder is equal to the radius of the base of the cone, we can relate $R$ and $r$ using similar triangles: $$\frac{R}{3R}=\frac{r}{3r}\quad\Rightarrow\quad r=\frac{R}{3}.$$ Substituting this into the expressions for the volumes, we get $$\frac{\text{Volume of cylinder}}{\text{Volume of cone}}=\frac{3\pi(\frac{R}{3})^3}{2\pi R^3}=\frac{1}{6}.$$ Therefore, $\frac{1}{6}$ of the volume of the cone lies inside the cylinder.

Answer:

m<4 = 66°

Step-by-step explanation:

m<1 = 8x + 7

m<2 = 4x + 14

m<3 = ?

m<4 = 13x + 12

m<3 and m<4 are supplementary angle which mean they add up to 180°, linearly.

m<3 + m<4 = 180°

These three angle are in a triangle that add up to 180°

m<1 + m<2 + m<3 = 180°

m<3 + m<4 = 180° => m<4 = 180° - m<3

m<1 + m<2 = 180° - m<3

m<1 + m<2 =  m<4

(8x + 7) + (4x + 14) = (13x + 12)

(8x + 4x) + (7 + 14) = 13x + 12

12x + 21 = 13x + 12

21 - 12 = 13x - 12x

9 = x

Substitute x = 9 to find the degree for m<4.

m<4 =  13x + 12

m<4 =  13*(4) + 12

m<4 =  13x + 1254 + 12 = 66°

Answer:

\(\displaystyle 2\)

Step-by-step explanation:

\(\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2\)

OR

\(\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2\)

As you can see, the right-centred photograph displays the trigonometric graph of \(\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},\)in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted \(\displaystyle 2\:units\)to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD \(\displaystyle 2\:units,\)which means the C-term will be positive, and by perfourming your calculations, you get \(\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.\)So, the cosine graph of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.\)Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of \(\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.\)So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted \(\displaystyle \frac{1}{2}\:unit\)to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD \(\displaystyle \frac{1}{2}\:unit,\)which means the C-term will be positive, and by perfourming your calculations, you get \(\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.\)So, when shifted back into original position, the sine graph is \(\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-2\frac{1}{2}, \frac{1}{2}],\)from there to \(\displaystyle [3\frac{1}{2}, \frac{1}{2}],\)they are obviously \(\displaystyle 6\:units\)apart, telling you that the period of the graph is \(\displaystyle 6.\)Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = \frac{1}{2},\)in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

true

Step-by-step explanation:

Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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Answer:

6000 meters

Step-by-step explanation:

Each kilometer is 1000 meters so 1000 x 6 is 6000

Answer:

mean=sum of all observations/no.of observations

mean =23+15+6+5+6/5

mean=55/5

mean=11

population mean =11

hope this answer helps

Answer:Priya ran 19 miles last week

Step-by-step explanation:

4 x 3 = 12

12 + 7 = 19

The expected value ( mean) of the sample proportion is 50 that is shown in a step-by-step manner.

Step: 1

21- It is claimed that 25 % of students who take Algebra get

an A in the course. i.e.,  = 0.25

If a random sample of =200 students is selected.

The expected value ( mean) of the sample proportion

= n x p

= 0.25*200

= 50

An average of n numbers computed by adding some function of the numbers and dividing by some function of n. Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. It also indicates the probability-weighted average of all possible values. Expected value is a commonly used financial concept

The expected value ( mean) of the sample proportion is 50.

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Answer: C

Step-by-step explanation:

Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?

Step-by-step explanation:

True .The bisection method is a root-finding tool based on the intermediate value theorem. the method is also called the binary search method.

The bisection technique is a root-finding approach that is used to identify the values of x for which f(x) = 0, or the roots, of a function. Using the intermediate value theorem, the approach selects the subinterval in which the function's root must reside after repeatedly bisecting an interval containing the root of the function. This approach can be repeated again until the algorithm converges to a result that accurately approximates the function's root.

The bisection method divides the interval repeatedly to approximatively determine the roots of the given equation.

The interval will be divided using this manner until an incredibly tiny interval is discovered. The bisection method is a technique for locating roots in mathematics.

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For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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Answer:

Row D

Step-by-step explanation:

y = 2x - 3

if x = 10

y = 2 * 10 - 3

= 20 - 3

= 17

so row d is incorrect.

Answer:

B=3

Step-by-step explanation:

Use a graphing calculator and type in these toe equations

y=2x+13

y=3x+10

and the point they intersect will say (3,19) and the answer is 3

For 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child.

Let's suppose, for x rounds of bingo, the costs will be the same for an adult and a child.

For x rounds, cost for adult:

= 2x + 13

For x rounds, cost for child:

= 3x + 10

2x + 13 = 3x + 10

x = 3

Thus, for 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.

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The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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