C-Scenario 3
Your school wants to implement an Al system at sporting events that classifies fans and directs them to
either the home or away side of the stadium.

The height of the tree is 86.745 feet.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that Adam measures the tree’s shadow and immediately measures the length of his shadow.

Adam is 4ft 6in. with a shadow of 3ft

4ft 6 inches =4.5 feet.

The tree’s shadow is 57ft 10in, we need to find  the height of the tree.

57 ft 10 inches=57.83 feet

Let x be the height of the tree.

4.5/3=x/57.83

Apply cross multiplication

4.5(57.83)=3x

260.235=3x

Divide both sides by 3

x=86.745

Hence, the height of the tree is 86.745 feet.

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Methods used that summarize or describe characteristics of data are called Descriptive statistics

Descriptive statistic is defined as the method fro summarizing data and information to partition them into a section of meaningful data.It contains descriptive coefficients that defined the meaningfulness of the data .

Variability and central tendency are the part of descriptive statistics that describe the spread and central point of the data respectively.

Other options are incorrect because overall statistics measure complete components ,average statistics take mean of complete statistic data and inferential statistic is based on random data sample.

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The graph for the proportional equation y = 125m is shown in image by red line.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

The proportional equation is,

⇒ y = 125m

Clearly, The equation shows the equation of line.

Hence, The graph for the proportional equation y = 125m is shown in image by red line.

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Answer:

-2x+24

Step-by-step explanation:

The sample size would need to be at least 1130 to guarantee a margin of error of 0.02 or less.

To calculate the sample size required to construct a 99 percent confidence interval for the proportion of people who will have received flu vaccine in Canada, the following formula can be used:

n = (Zα/2)2 * P * (1-P) / E2

Where n is the sample size, Zα/2 is the z-score for 99 percent confidence (2.58), P is the estimated proportion of the population that will receive the flu vaccine (assumed to be 0.5), and E is the margin of error (0.02).

Plugging in the values, we get:

n = (2.58)2 * 0.5 * (1-0.5) / (0.02)2 = 1130

Therefore, the sample size would need to be at least 1130 to guarantee a margin of error of 0.02 or less.

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Based on the clues, it can be concluded the correct digits for the lock are 564.

This password can be solved by using logic and the information provided in the clues as it follows:

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So the probability of winning $300 is 1/1315 & the probability of winning $201 is 7/196.

The probability of winning $300:

There are a total of 5 $100 bills + 8 $20 bills + 18 $5 bills + 35 $1 bills = 66 bills in the bag.

The probability of winning $300 by drawing 3 bills is the number of ways to select 3 $100 bills divided by the total number of possible combinations of 3 bills, which is:

(5 choose 3) / (66 choose 3) = (5! / (3! * (5-3)!) ) / (66! / (3! * (66-3)!)) = 10 / 13,145 = 1/1315

So the probability of winning $300 is 1/1315.

The probability of winning $201:

We can win $201 by drawing a $100 bill, a $50 bill (which can be achieved by drawing two $20 bills and putting back one), and a $1 bill.

The probability of winning $201 is the number of ways to select 1 $100 bill, 2 $20 bills (which can be rearranged into 1 $50 bill), and 1 $1 bill divided by the total number of possible combinations of 3 bills, which is:

(5 choose 1) * (8 choose 2) * (35 choose 1) / (66 choose 3) = (5 * 28 * 35) / 13,145 = 4900 / 13,145 = 7/196

So the probability of winning $201 is 7/196.

Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur. A probability of 0.5, for example, indicates that an event is equally likely to occur or not occur.

Probabilities can be calculated based on the number of favorable outcomes divided by the number of possible outcomes in a given scenario. For example, if you roll a die, the probability of rolling a 6 is 1/6 because there is only 1 favorable outcome (rolling a 6) out of 6 possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

Probability is a key concept in statistics and is used to make predictions and decisions in fields such as finance, insurance, engineering, and more.

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For each ordered pair (x,y),

the solution is (-8, 7).

The correct option is D.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have an inequality:

y > 2.

From the given choices of ordered pair (x, y):

Substituting the values to the inequality.

And then,

7 > -8.

Therefore, the solution is (-8, 7).

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Answer:

Where is the data ?

Step-by-step explanation:

Need the data set

The new length and width of the living room would be 20% greater than the original length and width.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used.

A percentage is a number with no dimensions; it has no unit of measurement.

To increase the length and width of a room by 20%,

We need to add 20% of the original length and width to the original values.

If the original length and width of the living room are L and W respectively, the new dimensions would be:

New length = L + 0.20 * L = 1.20 * L

New width = W + 0.20 * W = 1.20 * W

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How much water supporting the hydrostatic skeleton and the constriction of round muscles.

Hydrostatic skeletons (some of the time recently called "hydrostats") utilize a depression loaded up with water; the water is incompressible, so the organic entity can utilize it to apply power or change shape. Plants utilize osmotic pressure to compress the pit, while creatures do it with muscle layers in the hydrostat's walls.

The most widely recognized muscle game plan is to have a layer with longwise or longitudinal filaments and a layer with roundabout or circumferential strands.

Most hydrostatic skeletons are pretty much tube shaped, so longitudinal muscles will more often than not abbreviate them and furthermore enlarge them because of consistent volume, though circumferential muscles will generally do the inverse. The longitudinal and circumferential muscles are in this manner antagonistic.

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Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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The strategy to use to find out how much framing material they will need is d. Cover the poster with square-inch grid paper to find the area

Cover the poster with square-inch grid paper to find the area - This method would give the total number of square inches of the poster and would be a good starting point for determining the size of the frame required.

The recommended strategy would be to measure the poster in inches with a ruler to determine the dimensions, then use that information to calculate the total area. This would be a good starting point for determining the size of the frame required.

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Answer:  45

Step-by-step explanation:

We can label 5/9 of 81 as Numerator/Denominator of a whole number.

To solve the problem, we multiply the Numerator by the whole number and leave the Denominator as is:

(5 x 81) / 9 = 405/9 = 45

Therefore, the answer to 5/9 of 81 in its lowest form is:

Answer:

30 days.

Step-by-step explanation:

Hope it helps! =D

The completed entries is added as an attachment

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

1,881 ÷ 33

Express 1881 as 1650 + 231

So, we have the following representation

1,881 ÷ 33 = (1650 + 231) ÷ 33

Expand the expression

So, we have the following representation

1,881 ÷ 33 = 1650 ÷ 33 + 231 ÷ 33

Evaluate the quotients

1,881 ÷ 33 = 50 + 7

Next, we complete the blanks (see attachment) for the completed entries

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The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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The solution of the division of the fraction is expressed as; -⁴/₁₅

When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.

We have the expression as;

-¹/₃ ÷ ⁵/₄

By the method described above, we can say that the solution is;

-¹/₃ × ⁴/₅

= -⁴/₁₅

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Answer:

360°

Step-by-step explanation:

The sum of all exterior angles for a polygon is always  360 degrees

The triangle is scalene which has side lengths of 4 inches, 6 inches, and 9 inches. The correct answer would be an option (C).

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

As per the question, we have

The three sides of a triangle are 4 inches, 6 inches, and 9 inches.

This means they are all unequal in measurement.

As we know that a scalene triangle has three unequal sides.

Thus, the given triangle is scalene.

Hence, the correct answer would be option (C).

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The question seems incomplete, the complete question would be as:

A triangle has side lengths of 4 inches, 6 inches, and 9 inches. It is _____ triangle.

A. an equilateral

B. an isosceles

C. a scalene

D. None of the above

The first special right triangle with angle 45° has the adjacent side equal to 16. The second special right triangle has the third angle equal to 60°, and the opposite and adjacent sides equal to 5 and 5√3 respectively, using the trigonometric ratios of sine and cosine.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

cos45 = adjacent/8√2 {adjacent/hypotenuse}

recall cos45 = √2

so;

adjacent = √2 × 8√2 {cross multiplication}

adjacent = 8 × 2

adjacent side = 16

The third angle for the second right triangle is derived as;

180° - (30 + 90)° = 60°

considering the angle 30°;

sin30 = opposite/10

recall sin30° = 1/2

opposite = 10/2 {cross multiplication}

opposite side = 5

cos30 = adjacent/10 {adjacent/hypotenuse}

recall cos30 = √3/2

adjacent = 10 × √3/2 {cross multiplication}

adjacent side = 5√3

Therefore, the first special right triangle with angle 45° has the adjacent side equal to 16. The second special right triangle has the third angle equal to 60°, and the opposite and adjacent sides equal to 5 and 5√3 respectively, using the trigonometric ratios of sine and cosine.

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15% wrapped = 30

20% not oatmeal = 40

30 wrapped could all be not oatmeal.

there are 200 pieces of cookies in a bag.

15% are wrapped.

this means that .15 * 200 = 30 are wrapped.

80% of the cookies are oatmeal.

this means that .8 * 200 = 160 are oatmeal.

this also means that .2 * 200 = 40 are not oatmeal.

Unless I'm misreading the situation, it is entirely possible that none of the wrapped cookies are oatmeal as there are more than 30 cookies that are not oatmeal and 30 are wrapped.

It would be a different situation if cookies were chosen at random and then wrapped.

Without even glancing at the cookies, you would choose 30 for wrapping.

The likelihood that you would choose an oatmeal cookie is.

.8 given that oats make up 80% of the batch of cookies.

the likelihood that you would choose an oatmeal-free cookie. 2 since just 20% of the batch's cookies contains oats.

The likelihood of it happening if you pick at random is: The fewest number of oatmeal cookies that are wrapped would still be 0, and the probability of that happening is:

c(40,30) / c(200,30) = 2.069..... * 10^-27

bottom line is that it is possible to get 0 oatmeal cookies wrapped if you pick cookies out of the batch randomly, but the probability that they will all not be oatmeal is extremely small.

the probability that all the wrapped cookies are not oatmeal when you pick the cookies out of the batch randomly is 2.06907098 * 10^-27

that's a very small probability.

it's so small that if you rounded the answer to 26 decimal digits, it would be equal to 0.

but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomaly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

but it's not zero, and therefore it is possible that you could get zero-wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

15% wrapped = 30

20% not oatmeal = 40

30 wrapped could all be not oatmeal.

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Answer:

see below

Step-by-step explanation:

basically it's asking you the triangle long side if they r the same

PQ length: need to know the diff b/w 2 x's n 2y's

-3+6 = 3

-4-0=-4

so 3²+4² =5² - you should memorize this.

QR length - same thing

-3+3=0

1+4=5

so 0²+5² =5²

Same.  done.

The value of the expression 7 - 9 using subtraction will be negative 2.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 9

Then the difference between the numbers 7 and 9 will be given by putting a minus sign between them. Then we have

⇒ 7 - 9

⇒ - 2

The value of the expression 7 - 9 using subtraction will be negative 2.

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The required area of a card in the mini deck is 2.1875 inch².

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Perimeter of the card in a standard deck = 2 [3.5 + 2.5] = 12 inch
Scale factor = perimeter of the mini deck / standard deck = 6 / 12  = 1/2

Now,
Dimensions of mini-deck,
length = SF × length of large card
length = 1/2 × 3.5
length = 1.75 inch

Similarly,
Width = 1.25

Now,
Area of the mini cards = 1.75 × 1.25 = 2.1875 inch².

Thus, the required area of a card in the mini deck is 2.1875 inch².

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Answer:

C

Step-by-step explanation:

if you put the point value in the equation you get

-4 - (-2×7) = n

-4 + 14 = n

10 = n

This form of number of trade illustrates an example of comparative advantage, where each country specializes in the production of goods that they are more efficient at producing and then trading those goods with each other.

Comparative advantage is a concept in economics that states that countries that specialize in goods they are more efficient at producing will be able to produce those goods at a lower cost than countries that do not specialize in that good. In this form of trade, China specializes in the production of silk, while Germany specializes in the production of automobiles. By trading these goods with each other, both countries are able to benefit from the number of  specialization of each other, as they can produce silk or automobiles more efficiently and at a lower cost than the other country.

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The probability that 0 or fewer students will withdraw from the course is 26.68%.

Let x be the number of students that withdraw from the introductory statistics course.

We can use a binomial distribution to solve this problem. The binomial distribution formula is:

P(x) = nCx * p^x * (1-p)^(n-x)

Where n is the number of trials, p is the probability of success, and x is the number of successes.

In this case, n = 100 (the number of students registered for the course), p = 0.4 (the probability of a student withdrawing from the course), and x = 0, 1, 2, ..., 100 (the number of students that withdraw from the course).

We want to calculate the probability that 0 or fewer students will withdraw from the course. This can be calculated by summing all the probabilities of x = 0, 1, 2, ..., 100:

[tex]P(x ≤ 0) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 100)\\P(x ≤ 0) = nCx * p^x * (1-p)^(n-x)\\P(x ≤ 0) = 100C0 * 0.4^0 * (1 - 0.4)^100\\P(x ≤ 0) = 0.2668 = 26.68%[/tex]

The probability that 0 or fewer students will withdraw from the course is 26.68%.

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Answer:

0.0445L

Step-by-step explanation:

1L = 1000ml

so 44.5ml =44.5/1000 =0.0445L