Justin's football team has a phone tree in case a game is cancelled,
The coach calls 2 players, Then each of those players calls 2 players, and
How many players will be notified during the 2nd round of calls?
EE

Answer:

Step-by-step explanation:

You want a drawing of the vector between (1, 3) and (-8, -9), along with its component form as sum of unit vectors i and j, its magnitude and direction, and the corresponding unit vector.

See the attachment for the drawing.

The difference between the head and tail coordinates is ...

  (-8, -9) -(1, 3) = (-9, -12)

That is, the vector extends -9 units in the +x direction, and -12 units in the +y direction, so its component form is ...

  -9i -12j

The magnitude of a vector is the root of the sum of squares of its components:

  |v| = √((-9)² +(-12)²) = √(81+144) = √225

  |v| = 15

The direction can be found using the arctangent function:

  ∠v = arctan(-12/-9) = 180° +51.13° . . . . . accounting for quadrant

  ∠v =  = 233.13°

The unit vector in the same direction is found by replacing the magnitude in polar form by 1.

  u = 1∠233.13°

The component form is found by dividing the vector by its magnitude:

  u = v/|v| = (-9i -12j)/15

  u = -0.6i -0.8j

__

Additional comment

The attached calculator output shows the polar form angle as negative. That is another way the direction can be expressed. The positive angle value is found by adding 360° to that negative value.

The size class interval recommend is 30.

Assume that the observations are more or less evenly distributed across the range, and you should get about 5 observations per class.

It also presumes that your interest in the observations is uniform: you are equally interested in values close to 60 as you are in values close to 480. If you were only interested in values above 450, you could group all values from 56 to 449 into one large class and divide the rest into smaller classes.

It is also necessary to check to see if the distribution is uniform. If it is skewed in either direction, it makes more sense to have smaller classes where the observations are dense and larger classes where they are sparse.

Therefore, the size class interval recommend is 30.

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The phrase can be expressed as,

v  < 9.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have a phrase:

The value, v, of the hat is less than $9.

The phrase can be expressed as,

v  < 9.

Therefore, the expression is v < 9.

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Answer:

x=3

Step-by-step explanation:

[tex]9x+11=4x+26\\5x=15\\x=3[/tex]

Answer:

Step-by-step explanation:

The X Form = 3

The area of the square with side measuring 10 cm and 10 cm is 100 cm²

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The area of a figure is the amount of space that is occupied by the two dimensional shape. The area of a square is the product of its length . It is given by:

Area = length * length

Let us assume that each side of the square is 10 cm, hence:

Area = 10 cm * 10 cm = 100 cm²

The area of the square is 100 cm²

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The linear function giving U.S. land-line phone households(in millions in year) is f(t) = 35 - 2t

The number of U.S. households with land-line phones stood at 35 million at the beginning of 2014 and was projected to decline at the rate of 2 million households per year for the next 8 years.

let t = 0 corresponds to the beginning of 2004.

so the linear function formed by this information.

f(t) = 35 - 2t

where t is number of years since 2014 and f(t) will be the number of land-line phone households (in millions in years) in that particular year.

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The house's value Increase in dollars by $37,760.

The current value of the house is $509, 760.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A house on the market was valued at $472,000.

After several years, the value increased by 8%.

Then, the value of house increased

= 472000 x 8/100

= $37,760

So, the current value of house

= 472000 + 37760

= $509, 760

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The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.

What Exactly Is a Sample?

An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.

                                 In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.

What does a research sample mean?

Sampling is the process of choosing a portion of the target population for a research project.

                                 In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.

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The error interval for x when rounded to one decimal place as 8.7 is (8.65, 8.74).

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,

The rounded value of 8.7 is the midpoint of the error interval and any number between 8.65 and 8.74 would round to 8.7 when rounded to one decimal place.

Thus, the error interval for x when rounded to one decimal place is (8.65, 8.74).

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The total number of flowers in the flower shop is 65.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio to tulips to roses is 5 to 8 at the flower shop.

There are 40 roses at the flower shop.

Let the total number of flowers are x.

Now, 5+8=13

8/13 ×x=40

8x=520

x=520/8

x=65

Therefore, the total number of flowers is 65.

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Answer: 2/15

Step-by-step explanation: First multiply the numerators together and then denominators together.

Numerators= 2 and 1

(numerators) 2 x 1 = 2

Denominators= 3 and 5

(denominators) 3 x 5 = 15

Hence, you get 2/15

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.

Random assignment of treatments is accomplished using the following formula:

Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)

By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

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Answer:subtract to elimanate y

Step-by-step explanation:

Answer:

C) 2.76

-------------------

Given:

We know that inscribed angle is half the arc measure. Set up equation and solve for x:

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

In a math equation, the comparable symbol (=) is used to denote equality between two propositions. It is demonstrated that by using mathematical formulas, which have been expressions of reality, different numerical factors can be compared. The equal sign, for instance, splits the integer 12 or the equation y + 6 = 12 to 2 different halves. It is possible to determine how many characters each side of such a symbol has. It's common for symbols to have conflicting meanings.

Here,

Given :

=> g -3 = 9

To find the value of g :

=> g = 9 + 3

=> g = 12

Thus , value of g is 12.

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

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Answer:

To compare Bob and Alan's points per game, we can use the following summary statistics:

Mean: This is the average of the data set. It can be calculated by adding up all the values and dividing by the number of values.

Median: This is the middle value of the data set when it is arranged in order.

Range: This is the difference between the largest and smallest value in the data set.

Interquartile range (IQR): This is the range of the middle 50% of the data set, calculated as the difference between the 75th and 25th percentiles.

Mean absolute deviation (MAD): This is the average of the absolute differences between each value and the mean.

To compare the center of each player's data, the best measure of central tendency would be the mean. This is because it takes into account all the values in the data set and gives an overall average. The median can also be used, but it only considers the middle value and may not accurately represent the center if there are outliers in the data set.

To compare the spread of each player's data, the best measure of spread would be the range or IQR. This is because they give an idea of the range of values in the data set and how spread out the data is. The MAD can also be used, but it is a more complex calculation and may not provide as clear of an understanding of the spread of the data.

Based on the representations, summary statistics, and interpretations, it is not possible to determine if either friend is a basketball star without more context. A basketball star could have a high average points per game, a narrow range, and a small spread, but this would depend on the level of competition and the type of game being played. A player who consistently scores a high number of points and performs well under pressure could be considered a basketball star, but this cannot be determined solely based on the data presented.

Answer:

5(2x-3)-7x=x-10

or, 10x -15 -7x = x-10

or, 3x-15=x-10

or, 3x- x = 15-10

or, 2x = 5

or, x= 5/2

Number of employees that are in favor of stocking healthier snacks in the break room are 192.

Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Given;

4/5 ​start fraction of the survey respondents are in favor of stocking healthier snacks in the break room

The employees surveyed are representative of all 240 employees

Now, the number of employees in favor;

=4/5 * 240

=4*48

=192

Therefore, the answer according to the given ratio will be 192.

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Answer:

$66.43

Step-by-step explanation:

In order to see how much one sweater cost you need to divide 47.45 by 5 and you will get 9.49 then after that you will multiply 9.49 by 7 and get 66.43

[tex]\begin{array}{ccll} sweaters&\$\\ \cline{1-2} 5 & 47.45\\ 7& x \end{array} \implies \cfrac{5}{7}~~=~~\cfrac{47.45}{x} \\\\\\ 5x=7(47.45)\implies x=\cfrac{7(47.45)}{5}\implies x=66.43[/tex]

The initial value of the car will be $27500 and the value after 12 years will be $3393.78.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the dollar value v (t) of a certain car model that is t years old is given by the following exponential function [tex]v(t) = 27,500(0.84)^t[/tex].

The initial value will be at t= 0,

[tex]v(t) = 27,500(0.84)^t[/tex]

v(t) = 27500 x (0.84)⁰

v(t) = $27500

The value of the car after 12 years will be:-

[tex]v(t) = 27,500(0.84)^t[/tex]

v(t) = 27500(0.84)¹²

v(t) = $3393.78

Therefore, the car will have a $27500 initial value and a $3393.78 value after 12 years.

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Answer:

50 & 200

Step-by-step explanation:

The sum of all interior angles of a quadrilateral is 360 degrees, angle D is the same as B =50

angle C = 360-50-50-60 = 200

Step-by-step explanation:

If you have a vector that starts at (a,b) and goes to (c,d), then the vector is <c-a, d-b>.

Here, that gives <-9,-12>, meaning the vector should point down to the left.

Additionally, anytime you have a vector <x,y>, you can write it as xi + yj, where i and j are unit vectors, <1,0> and <0,1> respectively.

Here that would be -9i-12j.

The magnitude of a vector <a,b> is equal to \sqrt{a^2+b^2}.

Here that would give you a length of 15.

As for the angle, if you drew a circle centered at the origin, we call 0 degrees the right side, on the x-axis.

You can shift a vector around on a plane and as long as it is parallel to and has the same magnitude as the original, it is the same. So let's put the tail of the vector at (0,0), so that the vector goes from (0,0) to (-9,-12). Now, form a triangle with those two points and the y-axis at (-9,0).

Now, the sin of the angle next to the origin is equal to 12/15, so the angle is arcsin(12/15) which is about 0.9273 radians, or 53.13 degrees. Let's use degrees.

Now, where is this angle? This angle is underneath the x-axis on the left side of the origin. Going from the x-axis on the right side, over the top, to the x-axis on the left side, is 180 degrees. We add 53.13, and get 233.13 degrees. Note that we did this counterclockwise, which you should probably note in your explanation. It is also 180-53.13 = 126.87 degrees clockwise.

In order to find a unit vector (a vector with magnitude 1) in the same direction as the original, just divide by the magnitude, giving us <-9/15, -12/15> or <-3/5, -4/5>. You can verify that the magnitude is equal to 1.

Answer:

The notation for the point estimate is x = 304.

The probability that Fred (a black phone) and Carrie (a white phone) are chosen next to each other is 10.2%.

The total number of cell phones in the store is 20 + 30 = 50.

The number of ways to choose 10 cell phones out of 50 is 50 choose 10, which can be calculated as:

C(50,10) = 50! / (10! * (50-10)!) = 50! / (10! * 40!)

= 19600600 / (3628800 * 8!)

= 19600600 / 3628800

= 545675

The number of ways to choose 9 black phones and 1 white phone is 20 choose 9 * 30 choose 1, which can be calculated as:

C(20,9) * C(30,1)

= 20! / (9! * (20-9)!) * 30! / (1! * (30-1)!)

= 20! / (9! * 11!) * 30! / (29!)

= 184756 * 30

= 554268

The probability of choosing 9 black phones and 1 white phone out of 10 phones is

554268 / 545675

= 0.102, or 10.2%.

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The complete questions may be:

there are 20 black cell phones and 30 white cell phones in a store. an employee takes 10 phones at random. find the probability of choosing 9 black phones and 1 white phone out of 10 phones.

The area of the state in square miles is 72 x 5 = 360 square miles.

The formula to calculate the area of a rectangle is A = l x w, where 'A' is the area, and 'l' and 'w' are the length and width respectively.

Therefore, the area of the state that is represented on a map by a rectangle 10 inches by 7.2 inches, is calculated by substituting the length and width into the equation, as follows: A = 10 x 7.2 = 72 inches.

Since 1 inch represents 5 miles, the area of the state in square miles is calculated by multiplying the area (in inches) by the conversion factor (5 miles per inch). Therefore, the area of the state in square miles is 72 x 5 = 360 square miles.

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To find the proportionality of a table, you need to determine if the relationship between two variables in the table is proportional or not.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

This can be done by dividing one variable by the other and checking if the ratio is equal for all data points in the table. If the ratio is constant, then the variables are proportional and the table is considered proportional.

Given that the question is incomplete and does not show the proportionality table, it is worth it to show how to find the proportionality of a table which would help solve the solution and gain knowledge.

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The question translated in English is:

Complete the following proportionality tables

The volume of the sphere of radius 7 feet is given as follows:

1372 ft³.

The volume of the cube of sides 12 ft is given as follows:

1728 ft³.

The volume of a sphere of radius r is given by the multiplication of 4 by pi = 3 by the cubed radius, and the multiplication is then divided by 3, hence:

V = 4 x 3 x 7³/3

V = 1372 ft³.

The volume of a cube of side length s is given by the side length cubed, hence:

V = 12³

V = 1728 ft³.

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Answer:

-5z - 10

Step-by-step explanation:

Subtract 9z from 4z.

Answer:

REGULAR

Step-by-step explanation: