stats Suppose we are interested in studying speed of guineas. We randomly select 10 guineas and assign them to run on grass, we randomly select another 10 guineas and assign them to run on turf, and we randomly select another 10 guineas and assign them to run on concrete. What type of model would you use to analyze this

Step-by-step explanation:

To  do this equation, we could put it in terms of algebra, lets say the large chocolate bars are represented by L and the small bars by S

April

4S + 6L = $16.50

Bill

4S + 3L = $11.25

Looking at this, we can see that the difference between the two purchases is that Bill bought three less large chocolate bars, this means the difference in total cost equals three large chocolate bars. Using this knowledge.

$16.50 minus $11.25 = $5.25

$5.25 = Three Large Bars

Divide this by three to get the cost of one large bar.

$1.75 is the cost of one single large bar.

Answer:

April: 4x+6y=16.5

Bill: 4x+3y=11.25

solving the two equations simultaneously will give you y=1.75

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

Answer:

+12 percentage points

Step-by-step explanation:

All options have positive percentage in themselves

So lesser marginal error should be more applicable as lower the marginal errors lower the probability of doing mistakes so higher marks .

Option B

The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.

a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).

(i) The free-body diagram of the car is as shown below;

(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.

Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.

Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.

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Answer:

Step-by-step explanation:

If we combine both Peanuts and M&M:

10-6=4

4 pounds of M&M's would be used.

The first polynomial is:

-3x³ + 2x – 5

Then we add a polynomial p(x) and we get:

-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3

We will find that p(x) = 7x³ + 7x² - 2x + 2

Now let's see how we got it:

Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.

Then we can write:

p(x) = ax³ + bx² + cx + d

Then we have:

-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3

(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) =  4x³ + 7x² – 3

Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:

(-3 + a)x³ = 4x³

bx² =  7x²

(2 + c)x = 0

(-5 + d) = – 3

Now we can remove the variables in all of these equations to get:

(-3 + a) = 4

b =  7

(2 + c) = 0

(-5 + d) = – 3

Now we can solve all of these and find the coefficients of our polynomial p(x).

-3 + a = 4

a = 4 + 3 = 7

a = 7

b = 7

2 + c = 0

c = -2

-5 + d = -3

d = -3 + 5 = 2

d = 2

Then we have:

p(x) = 7x³ + 7x² - 2x + 2

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A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

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The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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For the given first-order differential equation, we need to determine the largest interval on which a unique solution exists for each initial condition. The interval will depend on the specific initial condition and the behavior of the differential equation.

The first-order differential equation is given as:

t^et y' + y' + t^2 – 25yt - 99

To determine the largest interval on which a unique solution exists for each initial condition, we need to consider the behavior of the equation and any possible singularities or discontinuities.

For each initial condition, we can use standard techniques such as separation of variables or integrating factors to solve the differential equation and find the solution. The solution will depend on the initial condition and may have different behaviors based on the values of t and y.

It's important to note that the existence and uniqueness of solutions are generally guaranteed within a certain interval as long as the equation and initial condition satisfy certain conditions, such as Lipschitz continuity. However, without specific initial conditions, it is not possible to determine the exact intervals on which a unique solution exists.

Therefore, to determine the largest interval on which a unique solution exists for each initial condition, further analysis and specific initial conditions are required to assess the behavior of the equation and identify any constraints or limitations on the solution.

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Let initially he had x No. of apples

ATQ :-

x-40% of x=420

x-2/5x=420

=> 3x=420×5

x= 700

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Hope this helps!

\( {11}^{2} = {5}^{2} + {x}^{2} \\ 121 = 25 + {x}^{2} \\ 121 - 25 = {x}^{2} \\ 69 = {x}^{2} \\ \sqrt{69} = x\)

Answer:

its a.)

Step-by-step explanation:

Answer: it has infinite solutions.

Step-by-step explanation:

\(y=3x-4\\-3y=-9x+12\)

Plug y in the second equation.

\(-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0\)

Thus, the part of the trinomial that's equal to the product of p and q is the constant

term!

B: The Constant Term

Step-by-step explanation:

The given series is: 1+2+3+4+5+6+. + 5000Now, we need to find the series in sigma notation if all the powers of 4 are removed from the series. Let us first write the given series in sigma notation:∑n = 1 5000 nNow, let us remove all the powers of 4 from the above series.

To do that, we need to remove all the multiples of 4 from the series and add the remaining numbers. So, the series after removing all the multiples of 4 will be:1+2+3+5+6+7+9+10+. + 4999

Let's form the above series into a sigma notation. We have,

\(∑n = 1 4999 (n - [(n-1)/4\)]

)where, n - [(n-1)/4]

is the formula that we use to remove all the powers of 4 from the series. Hence, this is the required series in sigma notation.

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The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The faces of a prism that are not the top and bottom are referred to as its lateral faces. The class of parallelograms also includes all the lateral faces, all of which are identical to one another.

To find the dimensions of a, b and c, we first open all  the faces of prism in first figure, than we compare it with second figure, we find that,

The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

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Answer:

the answer is y=2x+3 hope this helps

Therefore, the largest possible aggression score is 255.

This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

i. The largest binary integer that can be represented in an 8-bit unsigned integer is 11111111. Converting this binary number to decimal, we get 255. Therefore, the largest possible aggression score is 255.

ii. The problem that occurs if the initial aggression score is decreased by 2 is called an overflow. When the initial aggression score, which is already at its minimum value, is decreased by 2, it exceeds the maximum value that can be represented by an 8-bit unsigned integer. This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

iii. When the initial aggression score, which is represented as 00000001 in binary, is decreased by 2, we subtract 2 from it. In binary subtraction, 1 subtracted by 2 results in a borrow from the next bit, and the result is 11111111, which represents 255 in decimal. This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

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The level of measurement of the data set is interval.

The reasoning behind this is explained below.

The level of measurement refers to the type of data that can be obtained from a variable, which can be categorical or numerical. Categorical data are those that can be placed in categories, whereas numerical data are those that can be measured or counted.

The scale of measurement can be nominal, ordinal, interval, or ratio.

The data set that includes the top five books on the bestseller list last year is an example of interval level of measurement. This is because the data can be ordered, and the differences between the data entries are meaningful, but the zero entry is not an inherent zero.

The books on the list can be arranged in order from one to five, which makes it possible to order them. Additionally, the differences between the rankings of each book on the list are meaningful. However, there is no inherent zero point on the list of books. The zero entry does not indicate the complete absence of something, but rather a lack of sales in comparison to other books on the list.

Therefore, the data set can be classified as interval level of measurement.

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The product of 2 and 1/10 times -7 times 5/12 is -7/12, which is a fraction.

The product of 2 and 1/10 times -7 times 5/12 can be found stepwise by multiplying the numbers together.
1. Convert the mixed fraction 1/10 to an improper fraction: 1/10 = 1 ÷ 10 = 1/10.
2. Multiply the numbers together: 2 × 1/10 × -7 × 5/12 = -70/120.
3. Simplify the fraction: -70/120 = -7/12.
Therefore, the product of 2 and 1/10 times -7 times 5/12 is -7/12.

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Answer:

x = b-a-y

Step-by-step explanation:

Answer:

X=B-A-Y

Step-by-step explanation:

X+Y=B-A

subtract the y and it will fall onto the other side

so your answer will be x=b-a-y cause the y turned negative to cancel out the y that is ear the x.  

A matrix is the sum of two non-singular matrices is not generally true.

I'm sorry, but I'm unable to prove that a matrix is the sum of two non-singular matrices. The statement itself is not true.

A non-singular matrix, also known as an invertible matrix or non-singular square matrix, is a matrix that has an inverse. In other words, a non-singular matrix is one that can be multiplied by another matrix to give the identity matrix.

If we consider the sum of two non-singular matrices, it does not necessarily result in a non-singular matrix. The sum of two non-singular matrices can be a non-invertible matrix or a singular matrix.

For example, let's consider two non-singular matrices:

A = [1 0] B = [0 1]

[0 1] [1 0]

The sum of A and B would be:

A + B = [1+0 0+1] = [1 1]

[0+1 1+0] [1 1]

The resulting matrix A + B is a singular matrix since its determinant is 0. Therefore, it is not the sum of two non-singular matrices.

Hence, the claim that a matrix is the sum of two non-singular matrices is not generally true.

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The rate of change of the linear function is -2

A linear function can be described as two different but still related notions.

It is also described as a function whose graph is seen as a straight line, that is, having a polynomial function with its highest degrees as one or zero.

Note that the rate of change of a linear function is its slope.

From the information given, we have that;

Rate = 40 - 50/2 - 0

subtract the values

Rate = -10/2

Divide the values

Rate = -2

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Answer:

cosA = AB/ AD = AC/BC is the correct one.

The predicted population of Tanzania 5.5 years ago is approximately 46.1 million. This estimation is based on the current population, the population growth rate, and the formula for exponential population growth.

To predict the population of Tanzania 5.5 years ago, we need to use the population growth rate and the current population.

The formula for exponential population growth is:

P = P0 * e^(rt)

Where:

P = population after time t

P0 = initial population

r = growth rate (expressed as a decimal)

t = time in years

e = Euler's number (approximately 2.71828)

Given information:

Current population (P0) = 50.3 million

Growth rate (r) = 2.14% per year

Time (t) = -5.5 years (5.5 years ago)

Converting the growth rate to decimal form:

r = 2.14% = 0.0214

Substituting the values into the formula:

P = 50.3 million * e^(0.0214 * -5.5)

Calculating the exponential growth:

P = 50.3 million * e^(-0.1177)

P ≈ 46.1 million

Rounding the answer to one decimal place and expressing it in millions, the predicted population of Tanzania 5.5 years ago is approximately 46.1 million.

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Answer:

1/2

Step-by-step explanation:

there are 3 numbers on the dice less than six and 3 of six is 1/2

The surface area of the complex shape in the image shown is calculated as: 508 ft².

To Find the Surface Area of the Complex Shape, decompose the shape into two rectangular prism.

Rectangular prism 1 dimensions would be:

Length = 12 ft

Width = 5 ft

Height = 7 ft

Surface area (SA) = 2(wl + hl + hw)

= 2·(5·12 + 7·12 + 7·5) = 358 ft²

Rectangular prism 2 dimensions would be:

Length = 12 - 7 = 5 ft

Width = 5 ft

Height = 12 - 7 = 5 ft

Surface area (SA) = 2(wl + hl + hw)

= 2·(5·5 + 5·5 + 5·5) = 150 ft²

Therefore, surface area of the complex shape = 358 + 150 = 508 ft².

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