The Given a set of numbers 12, 11,13,m,10 and b find the value of m if the mean is 12​

The area of the rectangular field is 400m² less than the area of the square field.

A rectangle is a quadrilateral that has opposite sides equal to each other. Opposite side are also parallel to each other.

A square is a quadrilateral that has all sides equal to each other.

Therefore,

area of the rectangular field = lw

where

Therefore,

area of the rectangular field = 60 × 20

area of the rectangular field = 1200 m²

The square field have the same perimeter with the rectangular field.

Hence,

perimeter of the rectangular field = 2(60 + 20)

perimeter of the rectangular field =  2(80)

perimeter of the rectangular field = 160 meters

Therefore,

perimeter of the square field = 4l

160 = 4l

l = 160 / 4

l = 40

Hence,

area of the square field  = 40²

area of the square field  = 1600 m²

Difference in area = 1600 - 1200

Difference in area = 400 m²

Therefore, the area of the square field is 400 metre square greater than the rectangular field.

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The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

I think its B. y is all real numbers.

Step-by-step explanation:

Sorry if that is incorrect

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

10000.

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hope its useful

The rate at which water is being pumped into the tank is approximately 104.7 cubic centimeters per minute.

We can differentiate composite functions using the chain rule in calculus. In other words, the chain rule may be used to determine the derivative of a function with respect to x if it has the form f(g(x)), where g(x) is a function of x and f(u) is a function of u. The chain rule can be found in:

(d/dx) f(g(x)) = f'(g(x)) (x)

In other words, the derivative of f(g(x)) with respect to x is the product of the derivative of g(x) with regard to x and the derivative of f with respect to its argument evaluated at g(x).

The volume of the cone is given by the formula:

V = (1/3)πr²h

Given that, the diameter at the top is 4.0 meters, the radius is 2.0 meters.

Also the rate of water pumped is given using the differentiation:

dV/dt

The value of rate of water leaking out is given as 9800 cubic centimeters per minute.

That is, we have:

0.0098 cubic meters per minute

Using the differential equation:

dV/dt = P - 0.0098h² dh/dt

Here, height is 2.5 meters.

dh/dt = 18/60 = 0.3 meters per minute

Now,

V = (1/3)π(1²)(2.5) = (5/3)π cubic meters

Substituting the values we have:

dV/dt = P - 0.0098(2.5)²(0.3)

P = dV/dt + 0.0098(2.5)²(0.3)

P = (5/3)π(18) + 0.0098(2.5)²(0.3)

P ≈ 104.7 cubic centimeters per minute

Hence, the rate at which water is being pumped into the tank is approximately 104.7 cubic centimeters per minute.

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Answer:

t≥-25

Step-by-step explanation:

this is becuaset ≥ -25 shows that it can not fall under -25, but can be equal to -25.

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

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Answer:

14.28 ft

Step-by-step explanation:

Perimeter of the shaded region = 2(side of the square) + ¼(circumference of circle)

Side of the square = 4 ft

Circumference of circle = 2πr

r = 4

Circumference = 2*π*4 = 25.1327412 ft

✔️Perimeter of the shaded region = 2(4) + ¼(25.1327412) = 14.2831853 ≈ 14.28 ft (nearest hundredth)

Answer:

0.97

Step-by-step explanation:

From the question:

If 58% = 58/100 of the people have been vaccinated, then;

1 - (58/100) = 42% = 42/100 of the people have not been vaccinated.

Now:

Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;

P( > 1 ) = 1 - P(0)                 -----------(1)

Where;

P(0) = probability that all of the four have not been vaccinated.

P(0) = P(1) x P(2) x P(3) x P(4)

Where;

P(1) = Probability that the first out of the four has not been vaccinated

P(2) = Probability that the second out of the four has not been vaccinated

P(3) = Probability that the third out of the four has not been vaccinated

P(4) = Probability that the fourth out of the four has not been vaccinated

Remember that 42/100 of the population have not been vaccinated. Therefore,

P(1) = 42/100    

P(2) = 42/100

P(3) = 42/100

P(4) = 42/100

P(0) = (42/100) x (42/100) x (42/100) x (42/100)

P(0) = (42/100)⁴

P(0) = (0.42)⁴

P(0) = 0.03111696

Therefore, from equation (1);

P( > 1 ) = 1 - 0.03111696

P( > 1 ) = 0.96888304 ≅ 0.97

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.97

The probability will be "0.969".

According to the question,

Population,

or,

          = 0.58

Number of people,

In a Binomial distribution,

→ \(P(X=x )= n_C_x P^x q^{n-x}\)

where,

→ \(q = 1-P\)

     \(= 0.42\)

∴ X = at least one

hence,

→ \(P(x \geq 1) = 1-P(X<1)\)

                  \(= 1-P(x=0)\)

                  \(=1-4_C_0 (0.58)^0 (0.42)^4\)

                  \(= 1-0.03112\)

                  \(= 0.969\)

Thus the answer above is right.

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x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

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Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

Answer:

x+3

Step-by-step explanation:

x= one side of the triangle

(2x+6)=two sides of the isosceles triangle

Factor (2x+6) which is 2(x+3)

So, the length of each side is x+3.

Answer:

The facility's volume in cubic yards is 9000

Step-by-step explanation:

The volume of the facility is given by the multiplication of it's dimensions.

We want the volume in cubic yards, so the dimensions have to be in yards.

Each feet has a third of an yard. So the dimensions are:

120 feet = 40 yards

45 feet = 15 yards

45 feet = 15 yards

What is the facility's volume in cubic yards?

\(V = 40*15*15 = 9000\)

The facility's volume in cubic yards is 9000

Answer:

= 26

Step-by-step explanation:

... 3 × 2 + 4 × 5 ...

6 + 20

26

Answer:numbers

Step-by-step explanation:

numbrres and letters

1.1. Given any negative real number s, the cube root of s is negative.

1.2. For any real number s, if s is negative, then the cube root of s is negative.

1.3. If a real number s is negative, then the cube root of s is negative.

The cube root of a real number can be either positive or negative, depending upon the sign of the original number. If the original number is positive, then the cube root can be either positive or negative.

If the original number is negative, then the cube root must and should be negative. This is because multiplying any negative number by itself three times will result in a negative number.

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Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

= 0.9538

Answer:

jjjijijijiiijijijijijijij no pliss inglés. ;D.

Answer:

\(5<t<6\\(5,6)\)

Step-by-step explanation:

We know that the function of the height of a rocket after t seconds is:

\(h(t)=-9.8t^2+107.8t\)

We want to find the interval of time such that the rocket is higher than 294 meters.

So, substitute 294 for h(t) and solve for t:

\(294=-9.8t^2+107.8t\)

Just as it happens, everything is divisible by -9.8. So, divide everything by -9.8. This yields:

\(-30=t^2-11t\)

Add 30 to both sides:

\(t^2-11t+30=0\)

Factor. We can use -6 and -5. So:

\((t-6)(t-5)=0\)

Zero Product Property:

\(t-6=0\text{ or } t-5=0\)

Solve for each equation:

\(t=6\text{ or } t=5\)

So, our answers are 5 seconds and 6 seconds.

Therefore, between the fifth and sixth second, the rocket is higher than 294 meters.

Note that at exactly the fifth and sixth second, our height is exactly 294 meters, not higher.

Therefore, we won't include 5 and 6 in our solution set.

As an inequality, this is:

\(5<t<6\)

In interval notation, this is:

\((5,6)\)

And we're done!

Answer:

v = 4.4

Step-by-step explanation:

Let's solve your equation step-by-step.

8/11 = v/6

Step 1: Cross-multiply.

8/11 = v/6

(8)*(6)=v*(11)

48=11v

Step 2: Flip the equation.

11v=48

Step 3: Divide both sides by 11.

11v/11 = 48/11

v= 48/11

v = 4.4

Answer:

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

Step-by-step explanation:

To verify how dispersed a distribution is, we find it's coefficient of variation.

Coefficient of variation:

Mean of \(\mu\), standard deviation of \(\sigma\). The coefficient is:

\(CV = \frac{\sigma}{\mu}\)

Which year's GMAT scores show a more dispersed distribution

Whichever year has the highest coefficient.

2009:

Mean of 500, standard deviation of 90. So

\(CV = \frac{90}{500} = 0.18\)

2010:

Mean of 570, standard deviation of 85.5. So

\(CV = \frac{85.5}{570} = 0.15\)

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

2009's GMAT scores show a more dispersed distribution.

Given that in 2009: Mean = 500 and standard deviation = 90.

In 2010: Mean = 570 and standard deviation = 85.5.

If the standard deviation is higher then the scores will be more dispersed.

Note that: 90 > 85.5. And 90 corresponds to 2009.

So, 2009's GMAT scores show a more dispersed distribution.

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Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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By using basic algebra we get x = 0 and x =\(\frac{-26}{9}\)

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants.

2x(3x-4)-3x(5x+6)

\(6x^{2} -8 -15x^{2} -18x\\-9x^{2} -26x = 0\\9x^{2} +26x = 0\\x(9x +26)=0\\x = 0\\ x = \frac{-26}{9}\)

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Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

Answer:

C) \(\{x|x\neq-4 \:or \:4\}\)

Step-by-step explanation:

\(\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4\)

Here, \(x\neq-4\) is a hole on the graph since \(x+4\) exists in both the numerator and denominator.

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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