Anthony borrowed $113 from a friend josue. He paid josue $73 of the money back. How much money does Anthony still owe josue? Do not include the dollar sign in your answer.

According to the question The coefficient of variation for the given data set is 40%.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation (SD) by the mean (μ) and expressing the result as a percentage.

The formula for the coefficient of variation is:

\(\[ CV = \left(\frac{SD}{\mu}\right) \times 100 \]\)

In this case, the standard deviation is 4 units and the mean is 10 units. Plugging these values into the formula, we get:

\(\[ CV = \left(\frac{4}{10}\right) \times 100 \]\)

\(\[ CV = 0.4 \times 100 \]\)

\(\[ CV = 40 \]\)

Therefore, the coefficient of variation for the given data set is 40%.

To know more about coefficient visit-

brainly.com/question/8804569

#SPJ11

Answer:

Algebra - Linear Equations & Inequalities. T-37 /H-37 ... Tell which of the lines this point (2,5) lies on: 1. y = 2x + 1. 2. y = 1. 2 x + 4. 3. y = 3x + 1 ... y-intercept and slope to draw a graph.

The given equation of the hyperbola is 4x² - 16y² = 64. Let's find the vertices and foci of the hyperbola. First, let's write the equation in standard form by dividing both sides by 64 and simplifying the resulting equation.4x²/64 - 16y²/64 = 1x²/16 - y²/4 = 1

Comparing this equation with the standard form of a hyperbola, we see that the x-axis is the transverse axis and that the center of the hyperbola is (0, 0). Thus, the distance between the center and each vertex is a = 4 and the distance between the center and each focus is c, which we can find using the formula c² = a² + b², where b is the distance between the center and each asymptote. Since the asymptotes are y = ±(2/1)x, b = 2. Therefore, c² = 4² + 2² = 20, so c = sqrt(20) = 2sqrt(5). Thus, the vertices are (0 ± 4, 0) = (-4, 0) and (4, 0), and the foci are (0 ± 2sqrt(5), 0) = (-2sqrt(5), 0) and (2sqrt(5), 0).To summarize, the vertices are (-4, 0) and (4, 0), and the foci are (-2sqrt(5), 0) and (2sqrt(5), 0). The transverse axis is the x-axis and the conjugate axis is the y-axis.

To know more about hyperbola, visit:

https://brainly.com/question/19989302

#SPJ11

The null hypothesis get rejected comparing the 95% confidence interval to the proportion of the given central valley residents and bay area residents .

As given in the question,

Total number of voters in California = 7525

x₁ = Number of voters of central valley residents approved California legislature

   = 68

n₁ = Total number of voters of central valley residents

   = 200

x₂ = Number of voters of bay area residents approved California legislature

   = 156

n₂= Total number of voters of bay area residents

   = 300

p₁ = proportion of voters of central valley

p₂= proportion of voters of bay area

p₁ = x₁/ n₁

   = 68/200

   = 0.34

p₂ = x₂/n₂

    = 156/300

    = 0.52

Standard error = √p₁(1 -p₁) / n₁ + p₂( 1- p₂)/n₂

                        = √0.34(1-0.34) / 200 + 0.52(1-0.52)/ 300

                        = √0.001122 + 0.000832

                        = 0.044

\(p_{w}\) = (68 + 156 )/ (200 + 300)

   = 0.448

\(q_{w} = 1- p_{w}\)

    = 1 - 0.448

    = 0.552

null hypothesis p₁ - p₂ = 0

z = ( 0.52 - 0.34 ) - 0/ √(0.448)(0.552)( 1/200 + 1/300)

  = 4

Tabular value for confidence interval 95% = 1.96

4 > 1.96

We reject the null hypothesis.

Therefore, the difference of proportion of central valley residents and the bay area residents rejection of null hypothesis as per given 95% confidence interval.

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

Answer:

A. (18, 1)

Step-by-step explanation:

Answer:

hope it helps

Step-by-step explanation:

Step-by-step explanation:

6x+2-9-1=0

6x+2-10=0

6x-8=0

6x=8

x=8/6

x=1.3

Answer:

Step-by-step explanation:

∠R + ∠S + ∠T = 180 {Angle sum property of triangle}

∠R + 56 + 30  = 180

         ∠R + 86 = 180

               ∠R   = 180 - 86

                ∠R =   94

There are 56 paths of length 8 connecting x to y on the grid.

To find the number of paths of length 8 connecting point x to point y on the grid, we can analyze the possible steps we can take from x to reach y. Since we need to move three steps above and three steps to the right, we can think of it as a sequence of 8 steps, where 3 steps are upward (U) and 3 steps are to the right (R).

To reach y from x in exactly 8 steps, we need to arrange these 8 steps in a way that includes exactly 3 U's and 3 R's. We can think of it as choosing the positions for the U's, and the remaining positions will be filled with R's. This can be done using combinations.

The number of ways to choose 3 positions out of 8 for the U's is given by the binomial coefficient C(8, 3). Similarly, the remaining positions will be filled with R's. Therefore, the total number of paths of length 8 connecting x to y is given by C(8, 3).

Using the formula for binomial coefficients, C(n, k) = n! / (k! * (n - k)!), we can calculate C(8, 3) as follows:

C(8, 3) = 8! / (3! * (8 - 3)!) = 8! / (3! * 5!) = (8 * 7 * 6) / (3 * 2 * 1) = 56.

Hence, there are 56 paths of length 8 connecting x to y on the grid.

Know more about Binomial  here:

https://brainly.com/question/30339327

#SPJ11

Answer:

O Asher found multiples of 10, not factors of 10.

O Asher should have gotten this as the answer: 1,2,5, and 10

Step-by-step explanation:

Here is the full question :

Asher is asked to find the factors of 10. His work is below. 10 x 1 10 10 x 2 20 10 x 3 30 So, the factors of 10 are 10, 20, and 30 Which statements are true of Asher's work and his answer? Check all that apply

O Asher made errors in multiplication.

O Asher found multiples of 10, not factors of 10.

O Asher should have multiplied 10 x 4 as well.

O Asher should have gotten this as the answer: 1,2,5, and 10

O Asher should have gotten this as the answer: 10, 20, 30 40,

Factors are numbers that can divide a number exactly so that there would be no decimals.

The factors of 10 are 1,2,5,10

These numbers divide 10 exactly.

A multiple of a number are numbers derived by multiplying a number by an integer

Multiples of 10 include = 10, 20 , 30, 40, 50, 60, 70, 80, 90, 100

Answer:

  24

Step-by-step explanation:

The GCD of a set of numbers is the product of the prime factors, each to the lowest of the powers it has as a factor of any of the numbers.

The LCM of a set of numbers is the product of the prime factors, each to the highest of the powers it has as a factor of any of the numbers.

__

The factorizations of the given numbers are ...

  36 = 2^2 × 3^2

  54 = 2 × 3^3

__

  6 = 2 × 3 . . . . . . . . . . . GCD

  216 = 2^3 × 3^3 . . . . . LCM

This tells us the lowest powers of 2 and 3 are 2^1 and 3^1, and the highest powers of 2 and 3 are 2^3 and 3^3. Already, the lowest power of 2 matches the GCD, and the highest power of 3 matches the LCM. What we need is a number with a power of 2 that is 3, and a power of 3 that is 1:

  2^3 × 3^1 = 24

The other number is 24.

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

Answer: the two men work 5 hours per day, ... 75 people work 8 hours daily to complete a job in 27 days. ... How many hours per day should she work to finish the same piece of work in 7

Step-by-step explanation:

Answer:

96%

Step-by-step explanation:

Answer:

x = -3.5

Step-by-step explanation:

3 x 2 + 2x + 1 = 0

6 + 2x + 1 = 0

2x + 7 = 0

2x = -7

x = -7/2 = -3.5

Hope this helped! If not, please let me know! <3

The ratio of tench to minnows to goldfish in the pond is \(15:7:28\)

Ratio indicates how many times one number contains another.

We have,

Total fish \(=50\)

Tench fish \(=15\)

Not tecnch \(= 50-15=35\)

According to the questions;

Of the fish that are not tench, \(\frac{1}{5}\) are minnows,

i.e. Minnows \(=\frac{1}{5}*35=7\)

Rest are goldfish i.e.

Goldfish \(= 50-(15+7)=28\)

So, the ratio of tench to minnows to goldfish is;

\(15:7:28\)

Hence, we can say that the ratio of tench to minnows to goldfish in the pond is \(15:7:28\) .

To know more about ratio click here

https://brainly.com/question/1504221

#SPJ3

The matching of definitions and terms are done below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

$1

Step-by-step explanation:

To find the unit cost per DVD, you need to calculate the total cost of producing 1 million DVDs and divide that by the number of DVDs produced.

First, you need to find the cost of producing 1 DVD. You can do this by dividing the cost of building the factory by the number of DVDs produced per dollar spent on the factory:

cost of 1 DVD = $80,000 / (20 DVDs/$3) = $1

Then, you can multiply this cost by the number of DVDs produced to find the total cost of producing 1 million DVDs:

total cost = (cost of 1 DVD) * (number of DVDs) = $1/DVD * 1,000,000 DVDs = $1,000,000

Finally, you can divide the total cost by the number of DVDs produced to find the unit cost per DVD:

unit cost per DVD = total cost / number of DVDs = $1,000,000 / 1,000,000 DVDs = $1/DVD.

So, the unit cost of producing 1 DVD is $1.

Answer:

Step-by-step explanation:

I think you should divide

Answer:

13

Step-by-step explanation:

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

To learn more about volume visit:

https://brainly.com/question/463363

#SPJ4

Given data:

The first equation is 2x+3y=-12.

The second equation is x+y=9.

The second equation can be written as,

y=9-x

Substitute the above value in second equation.

2x+3(9-x)=-12

2x+27-3x=-12

-x=-39

x=39

The value of y is,

39+y=9

y=-30.

Thus, the value of x is 39, and the value of y is -30.

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

Learn more about division here:

https://brainly.com/question/29401139

#SPJ1

Answer:

\(\mbox{\large \boxed{\textsf{5, 849 \;feet}}}\)

Step-by-step explanation:

See figure for information pertaining to this explanation

The figure is self explanatory

The triangle ABC forms a right triangle with the vertical leg of length 14000-h and horizontal length of 58000

The angle opposite side 14000 - h = 8°

By the tangent formula

\(\tan 8^\circ = \dfrac{AB}{AC} = \dfrac{14000-h}{58000}\)

Switching sides,

\(\dfrac{14000-h}{58000} = \tan 8^\circ\)

\(14,000 - h = 58,000 \times \tan 8^\circ\\\\14,000 - h = 8,151.36 \approx 8,151\)

h = 14,000 - 8,151 = 5,849 feet

So the altitude of Colorado Springs is roughly 5,849 feet

This is close to the published value of 6,035 feet. The differences are due to estimate errors in horizontal distance, peak height and angle of depression

Answer:

0.0072

Step-by-step explanation:

The answer is 0.0072. I really hope this helps!

If it does help can you be kind and mark me the brainliest please? Peace and Love

The surface area of the right cylinder in terms of pi is 76π units².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

Surface area = ( 2πr² ) + ( 2πrh )

Where r is the radius of the circular base, h is height and π is constant pi.

From the diagram:

Radius r = 8 units

Height h = 3 units

Surface area =?

Plug the given values into the above formula and solve for the surface area:

Surface area = ( 2πr² ) + ( 2πrh )

Surface area = ( 2π × 8² ) + ( 2π × 3 × 8 )

Surface area = ( 2π × 64 ) + ( 2π × 24 )

Surface area = 128π + 48π

Surface area = 176π units²

Therefore, the surface area is 176π units².

Option C) 176π units² is the correct answer.

Learn about volume of cylinder here: brainly.com/question/16788902

#SPJ1

The parametric equations for the tangent line at t=2 are:
x(t) = 1 + 2t
y(t) = 3
z(t) = 16 + 12t

To find the parametric equations for the tangent line at t=2, we first need to find the derivative of each coordinate function with respect to t, and then evaluate them at t=2.

1. Differentiate x(t) = (t-1)^2 with respect to t:
dx/dt = 2(t-1)

2. Differentiate y(t) = 3 with respect to t:
dy/dt = 0 (constant function)

3. Differentiate z(t) = 2t^3 - 3t^2 with respect to t:
dz/dt = 6t^2 - 6t

Now, evaluate the derivatives at t=2:

dx/dt(2) = 2(2-1) = 2
dy/dt(2) = 0
dz/dt(2) = 6(2^2) - 6(2) = 12

Next, find the point (x, y, z) at t=2:
x(2) = (2-1)^2 = 1
y(2) = 3
z(2) = 2(2)^3 - 3(2)^2 = 16

The parametric equations for the tangent line at t=2 are:
x(t) = 1 + 2t
y(t) = 3
z(t) = 16 + 12t

To learn more about parametric equations, refer below:

https://brainly.com/question/28537985

#SPJ11

a. The mean of the sample is 31

b. The standard deviation remains the same = 2

The formula for calculating mean of sample is expressed as;

Mean = (Sum of all measurements) / (Number of measurements)

Sum of measurements would be 12(31) = 372.

The addition of two measurements with a common value of 31.

Then, we have;

= 372 + 31 + 31 = 434.

Mean = 434 / 14

Mean = 31.00

B. The formula for calculating standard deviation is;

Standard Deviation = √((Sum of (each measurement - mean)²) / (Number of measurements))

Substitute the values, we have;

The sum of squared deviations= (31 - 31)² + (31 - 31)² = 0.

Then, we can say that there is no change in the standard deviation of the sample

Standard Deviation = 2.

Learn more about standard deviation at: https://brainly.com/question/475676

#SPJ4

The standard deviation of the sample of 14 measurements is 1.48 (approx).

A sample of 12 measurements has a mean of 31 and a standard deviation of 2. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 31 each.

The mean of the sample of 14 measurements:

In order to find the new mean of 14 measurements we first need to find out the total sum of the 14 measurements.

Total sum of 12 measurements = 12 x 31

                                                    = 372

The additional 2 measurements that have a common value of 31, contribute to the total sum 2 x 31 = 62

Total sum of 14 measurements = 372 + 62

                                                    = 434

Therefore, the new mean of the sample of 14 measurements will be the total sum of all measurements divided by the total number of measurements = 434 / 14

                                                    = 31.

The mean of the sample of 14 measurements is 31..

The standard deviation of the sample of 14 measurements:

Standard deviation of the sample of 14 measurements is given by:

σ =  sqrt[ Σ ( Xi - µ )² / N ]

Where Xi is the individual data points, µ is the mean, and N is the total number of data points.

Let's calculate this by adding the additional two measurements to the original 12 measurements.

σ =  sqrt[ ((12-1) x 2² + (31-31)² + (31-31)²) / 14 ]

σ =  sqrt[ (44) / 14 ]

σ =  sqrt[ 22/7 ]

   = 1.48

Therefore, the standard deviation of the sample of 14 measurements is 1.48 (approx).

Learn more about standard deviation from the given link

https://brainly.com/question/475676

#SPJ11

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

\(f(x) = \frac{8x - 1}{2x - 9}\)

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at https://brainly.com/question/27950332

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

$1.35

Step-by-step explanation:

We multiply $9.00 by 15% which equals to 1.35