Henry drew the model below of his yard. He said the perimeter of the yard is 48 feet. He knows that one side is 9 feet wide. How many feet long are all the sides of his yard

Answer:

Step-by-step explanation:

Step one:

given data

day one

x shirts that cost $19.99 each and

y pairs of shorts that cost $14.99 each.

Day two

3 more shirts that cost $19.99 each and

4 more pairs of shorts cost $14.99 each.

Step two:

the total number of shirts is

x+3

and the total number of shorts is

y+4

The total cost is ex[ressed as

19.99(x+3)+ 14.99(y+4)

Answer:

its c!!

Step-by-step explanation:

The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

a. Estimation of the probability of being a member of an environmental group:The probability of being a member of an environmental group can be estimated by calculating the fraction of the total number of people surveyed that are members of an environmental group.P(GRNGROUP) = Total number of people in environmental group/ Total number of people surveyed= 119/1113=0.1069The probability of being a member of an environmental group is approximately 0.107 or 10.7%.b. Estimation of the probability of being willing to pay higher prices to protect the environment:The probability of being willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that are very willing to pay higher prices to protect the environment.P(GRNPRICE) = Total number of people who are very willing to pay higher prices/ Total number of people surveyed= 31+88/1113= 0.106The probability of being very willing to pay higher prices to protect the environment is approximately 0.106 or 10.6%.c. Calculation of the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment, given the variables are independent:In this case, if the variables are independent, then the joint probability can be calculated by multiplying the two probabilities together.P(GRNGROUP and GRNPRICE) = P(GRNGROUP) x P(GRNPRICE)=0.1069 x 0.106=0.011The probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment is approximately 0.011 or 1.1%.d. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment directly using the counts in the table:The probability of a person being a member of an environmental group or very willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that fall into either of these two categories.P(GRNGROUP or GRNPRICE) = (Total number of people in environmental group + Total number of people who are very willing to pay higher prices - Number of people in both categories) / Total number of people surveyed= (119 + 31 + 88)/1113= 0.134The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.134 or 13.4%.e. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment by applying the appropriate probability rule to the estimated probabilities found in (a) and (b):P(GRNGROUP or GRNPRICE) = P(GRNGROUP) + P(GRNPRICE) - P(GRNGROUP and GRNPRICE)= 0.1069 + 0.106 - 0.011= 0.201The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

To know more about probability,

https://brainly.com/question/13604758

#SPJ11

The direction angle of the vector v = 2i -6j is approximately 288.43 degrees.

What is a vector ?

In mathematics, a vector is a mathematical object that has both magnitude (length) and direction. Vectors are commonly used to represent physical quantities such as displacement, velocity, and force in physics and engineering, but they are also used in many other fields such as computer graphics, machine learning, and economics.

The direction angle of a vector is the angle it makes with the positive x-axis in the counterclockwise direction.

To find the direction angle, we first need to calculate the angle that the vector makes with the positive x-axis.

Using trigonometry, we can see that:

tan θ = (opposite side) / (adjacent side)

     = (-6) / 2

     = -3

Taking the inverse tangent of both sides, we get:

θ = tan⁻¹(-3)

Using a calculator, we find that:

θ ≈ -71.57°

However, since we are looking for the direction angle in the counterclockwise direction, we need to add 360 degrees to get the final answer:

θ = -71.57° + 360°

Thus, the direction angle of the vector v is approximately:

θ ≈ 288.43°

Therefore, the direction angle of the vector v = 2i -6j is approximately 288.43 degrees.

To learn more about Vector from given link.

https://brainly.com/question/29740341

#SPJ1

The value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06

The expression is given as:

\(x \sim B (10, 0.75)\)

This means that:

n = 10

p = 0.75

The probability is then calculated as

\(P(x)= ^nC_x * p^x *(1 - p)^{n-x\)

This gives

\(P(5)= ^{10}C_5 * 0.75^5 *(1 - 0.75)^5\)

Evaluate the combination expression

\(P(5)= 252 * 0.75^5 *0.25^5\)

Evaluate

P(5)= 0.06

Hence, the value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

a) The percentage of students who failed the exam, given that they completed the exam review, is of: 15.38%.

b) The percentage of students who failed the exam, given that they did not complete the exam review, is of: 42.86%.

c) There is a negative association between failing the exam and completing the exam review.

A percentage is obtained by the division of the desired amounts by the total amounts, which is then multiplied by 100%.

For item a, these amounts are given as follows:

Hence the percentage is of:

p = 10/65 x 100% = 15.38%.

Then, for item b, the desired and total amounts are given, respectively, by:

Hence the percentage is obtained as follows:

p = 15/35 = 0.4286 = 42.86%.

Thus it can be concluded that there is a negative association between failing the exam and completing the exam review, as not completing the exam review makes you significantly likelier to not pass.

More can be learned about percentages at brainly.com/question/843074

#SPJ1

The measure of angle A and angle B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

tan B = 6/11 {opposite/adjacent}

B= tan⁻¹(6/11) {cross multiplication}

B = 28.6105.

tan A = 11/6 {opposite/adjacent}

A= tan⁻¹(11/6) {cross multiplication}

A = 61.3895.

Therefore, the measure of angles A and B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.

Read more about trigonometric ratios here: https://brainly.com/question/11967894

#SPJ1

Answer:

The answer is true

Step-by-step explanation:

38 ATP molecules can be made in all three steps of cellular respiration.

The term molecule is defined as the smallest particle of a substance that has all of the physical and chemical properties of that substance

Here we have to identify the number of molecule that is used to made in all three steps of cellular respiration.

Here we all know that in some of the energy form the electrons is used to pump hydrogen ions across the membrane, and then they are creating an electrochemical gradient that drives the synthesis of many more molecules of ATP.

Therefore, in all these three stages of cellular respiration combined as many as 38 molecules of ATP are produced from just one molecule of glucose.

To know more about Molecule here.

https://brainly.com/question/29824602

#SPJ4

The correct answer is E 150,000 from the typographical errors due to the excessive number of zeros.

Among the given options, the correct answer is E 150,000. This is evident as the options A 550,000, B 8100,000, and 6200,000 are likely typographical errors due to the excessive number of zeros. Option E is the only reasonable option with a more realistic value.

To elaborate, option A 550,000 appears to have an extra zero, resulting in an inflated value. Similarly, option B 8100,000 seems to have misplaced the decimal point, leading to an excessively high value. Option 6200,000 appears to be a combination of two numbers, possibly due to a formatting error.

On the other hand, option E 150,000 is a more plausible value in comparison to the other options. It is important to carefully consider the given options and assess their numerical values to arrive at the correct answer. Therefore, based on logical reasoning and the evaluation of the options provided, the correct answer is E 150,000.

Learn more about typographical errors here:

https://brainly.com/question/14470831

#SPJ11

The statement that the set of vectors {v1, v2, ..., vp} is linearly independent is equivalent to the following statements:

1. The only solution to the equation c1v1 + c2v2 + ... + cpvp = 0 is c1 = c2 = ... = cp = 0. In other words, the vectors can only be combined to yield the zero vector through the trivial solution.

2. No vector in the set {v1, v2, ..., vp} can be written as a linear combination of the other vectors in the set. Each vector in the set is necessary to represent the entire span of the set.

3. The determinant of the matrix A = [v1, v2, ..., vp] is non-zero. The matrix formed by arranging the vectors as columns has a non-zero determinant, indicating that the vectors are linearly independent.

These statements are all equivalent and convey the idea that the set of vectors {v1, v2, ..., vp} is linearly independent. If you have specific options or statements that you would like me to compare for their equivalence to linear independence, please provide them, and I'll be glad to assist you further.

To know more about independent refer here

https://brainly.com/question/27765350#

#SPJ11

See Below (Process and answer)

The solution of given rational equation \(\frac{2}{n} +\frac{n+2}{n+1}=\frac{-2}{n^2+n}\) is n = -2

In this question,

We have been given a rational equation.

\(\frac{2}{n} +\frac{n+2}{n+1}=\frac{-2}{n^2+n}\)

We need to find the solution of given rational equation.

First we simplify the LHS of given equation.

\(\frac{2}{n} +\frac{n+2}{n+1}\\\\=\frac{2(n+1)+n(n+2)}{n(n+1)} \\\\=\frac{2n+2+n^2+2n}{n^2+n}\\\\ =\frac{n^2+4n+2}{n^2+n}\)

So, given equation would be,

\(\frac{n^2+4n+2}{n^2+n}=\frac{-2}{n^2+n}\)

Here, the denominator is same on the both sides.

⇒ n² + 4n + 2 = -2

⇒ n² + 4n + 4 = 0

⇒ (n + 2)² = 0

⇒ n + 2 = 0

⇒ n = -2

We need to check above solution.

so, substitute n = -2 in LHS of given equation.

\(\frac{2}{-2} +\frac{-2+2}{-2+1}\\\\=-1+0\\\\=-1\)

Now, substitute n = -2 in RHS of given equation.

\(\frac{-2}{-2^2-2}\\\\=\frac{-2}{4-2}\\\\= \frac{-2}{2} \\\\-1\)

For n = -2, LHS = RHS

Therefore, the solution of given rational equation \(\frac{2}{n} +\frac{n+2}{n+1}=\frac{-2}{n^2+n}\) is        n = -2

Learn more about the rational equation here:

brainly.com/question/20850120

#SPJ4

Answer:

the range is the difference between the highest and lowest number. take the highest number 15 and subtract 2 to get 13

Answer:

145.60

Step-by-step explanation:

Answer:

(11x+1)(2x+1)

What  illustrates the exterior angle theorem is:

m∠1 + m∠2 = m∠4

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle.

We should note that a triangle has 3 internal angles which always sums up to 180 degrees. It has 6 exterior angles and this theorem gets applied to each of the exterior angles.

Thus, by the use of the exterior angle theorem, we can say that:

m∠1 + m∠2 = m∠4

Read more about Exterior angle theorem at: https://brainly.com/question/17307144

#SPJ1

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

Answer:

IF=HF

Step-by-step explanation:

If you look at them they are equidistant

Answer:

IF=HF

Step-by-step explanation:

The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

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

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

To learn more about Binomial distribution visit:

brainly.com/question/14565246

#SPJ4

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To know more about equations,

https://brainly.com/question/29797709

#SPJ4

The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

About system of equations here:

https://brainly.com/question/21620502

#SPJ11

Answer:

100 cm so .............qsuw

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

Learn more about similar triangles here:

https://brainly.com/question/2644832

#SPJ1

Answer:

no solution

Step-by-step explanation:

3x + 6y = 27

x + 2y = 11

Divide both sides of the first equation by 3.

x + 2y = 9

x + 2y = 11

Subtract the first equation from the second equation.

0 = 2

Since 0 = 2 is false, this system of equations has no solution.

The area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

To explain how we find the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4, we need to use polar coordinates and integrate.

The equation r = θ² represents a curve in polar coordinates. In this case, the curve is a parabola. The given sector 0 ≤ θ ≤ π/4 specifies the range of θ values over which we need to find the area.

To find the area of the region, we integrate the function r(θ) with respect to θ over the given range. The formula for finding the area in polar coordinates is:

A = ∫[θ₁,θ₂] (1/2) r(θ)² dθ

In this case, we have:

r(θ) = θ²

θ₁ = 0

θ₂ = π/4

Substituting these values into the formula, we have:

A = ∫[0,π/4] (1/2) (θ²)² dθ

Simplifying the expression:

A = (1/2) ∫[0,π/4] θ⁴ dθ

Integrating θ⁴ with respect to θ gives:

A = (1/2) [(θ⁵)/5] [0,π/4]

Plugging in the limits of integration:

A = (1/2) [(π/4)⁵/5 - (0)⁵/5]

Simplifying further:

A = (1/2) [(π⁵/4⁵)/5]

A = (1/2) (π⁵/4⁵)/5

A = π/32

Therefore, the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

Visit here to learn more about area:

brainly.com/question/16151549

#SPJ11

The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).

To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).

To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.

Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).

To know more about quadratic expressions, click here: brainly.com/question/10025464

#SPJ11