The graph below plots the values of y for different values of x:

plot the ordered pairs 1, 8 and 2, 3 and 3, 0 and 4, 1 and 5, 2 and 6, 1

What does a correlation coefficient of −0.2 say about this graph?

x and y have a strong, positive correlation
x and y have a weak, positive correlation
x and y have a strong, negative correlation
x and y have a weak, negative correlation

The perimeter of a standard American football field can be calculated by adding up the length of all four sides of the rectangular field. Given that the perimeter of the field is 1,040 feet, we need to convert this into inches to find the total perimeter of the field.

To convert feet to inches, we need to multiply the number of feet by 12, since there are 12 inches in a foot. So, to find the perimeter in inches, we multiply 1,040 by 12, which gives us a total of 12,480 inches. Therefore, the perimeter of a standard American football field is 12,480 inches.

It's important to note that knowing the perimeter of a football field is useful for a variety of reasons, including determining the amount of fencing or barriers needed for events held on the field, or calculating the distance traveled by athletes during practice or competition. Understanding how to convert units of measurement is a valuable skill that can be applied in many fields, including science, engineering, and finance.

To know more about perimeter, visit:

https://brainly.com/question/7486523

#SPJ11

Answer:

x=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

4x+7=6x-15

Transpose 6x to LHS (Left Hand side)

and 7 to RHS (Right Hand Side)

And sign will change

4x-6x=-15-7

-2x= -22

x= -22/-2

x=11

Answer:

i think its a mirror

Step-by-step explanation:

mark as brainliest if its crct

Answer:

34.8 to 1 dp

Step-by-step explanation:

18/2 = 9

Area of rectangle 18 X 9 = 162 cm^2

diameter of each circle 9

radius = 4.5

Area of a circle = πr^2

π X 4.5^2 = 63.6172512

63.6172512 X 2 (there are 2 circles) = 127.234502

162 - 127.234502 = 34.7654975

34.8 to 1dp

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

For more such questions on equations, click on:

https://brainly.com/question/17145398

#SPJ8

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

Learn more about random variables here:

https://brainly.com/question/32245509

#SPJ11

The rank of the matrix

\(\left[\begin{array}{ccc}a&b&c\\o&d&e\\0&0&f\end{array}\right]\),

where a, d, and f are nonzero, and b, c, and e are arbitrary numbers, is 3.

To determine the rank, we can perform row operations to simplify the matrix and identify any linearly dependent rows.

1. Perform row operations to create zeros in the first column below the first element 'a'.

\(\left[\begin{array}{ccc}a&b&c\\0&d&e\\0&0&f\end{array}\right]\)

2. Perform row operations to create zeros in the second column below the second element 'd'.

\(\left[\begin{array}{ccc}a&b&c\\0&d&e\\0&0&f\end{array}\right]\)

Since there are no further rows below the third element 'f', we cannot perform any more row operations.

The resulting matrix has three non-zero rows, which are linearly independent. Therefore, the rank of the matrix is 3.

The rank of a matrix is determined by the number of linearly independent rows or columns it contains. By performing row operations, we simplified the matrix and obtained a matrix with three non-zero rows, indicating that there are three linearly independent rows. Thus, the rank of the matrix is 3.

To know more about rank refer here:

https://brainly.com/question/30748258

#SPJ11

The organs of static equilibrium, also known as the maculae, are located within two expanded chambers within the vestibule called the utricle and saccule.

Utricle and saccule are filled with a gel-like substance containing tiny calcium carbonate crystals called otoliths. When the head moves, the otoliths shift and stimulate the hair cells within the maculae, which send signals to the brain regarding the body's position and movement. This allows us to maintain balance and stability, especially when standing still or moving in a straight line. Any disruptions or damage to the maculae can result in issues with balance, dizziness, and vertigo.

Learn more about static equilibrium here,

https://brainly.com/question/25727573

#SPJ4

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Since 3x and 87 are the same length, all we need to do is 87 divided by 3.

Answer:

k = 51

Step-by-step explanation:

You just have to substitute the variable into -7

k = -10t - 19

k = -10(-7) - 19

k = 70 - 19

k = 51

Answer: 721 ft

Step-by-step explanation:

formula for area is a=l*w

Given: w=103, length=7

103*7=721

Answer: The answer 721. When you are finding an area of something you must multiply the length and the width so the information given.

103 x 7 = 721 feet long

Here is the real problem:

It's sloppy as long as you understand the concept : )

Answer:

Step-by-step explanation:

A variable is an undetermined number represented by a letter.

K is a variable.

The addition of more than is not a subtraction.

I hope this helps. Let me know if you have any questions.

Answer:

Step-by-step explanation:

Since VW = VX ; Two sides are equal, then it is an isosceles triangle.

An isosceles triangle is a triangle that has 2 equal sides and 2 equal angles.

Given: m∠V = 50° ;

Since interior angles must total 180° the remaining 2 unknown angles must have a sum of 130°.

180° - 50° = 130°

130° / 2 = 65°

m∠W = 65° and m∠X = 65°

The computation shows the value of the square root and the cube root will be:

7

3/11

1000

It should be noted that the value of 3✓343 will be 7. This simply means that the number that you can multiply thrice that will give you 343.

Therefore, 7 × 7 × 7 = 343

Also ✓9/121 will be:

= ✓9/✓121

= 3/11

Lastly 3✓1000 is 10.

This can be illustrated as:

= 10 × 10 × 10

.= 1000

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

The conditional probability that it rained given Joe was not late is approximately 0.658.

(a) To find the probability that Joe is not late tomorrow, we need to consider the two scenarios: rainy and nonrainy days. The probability of Joe being not late on a rainy day is 1 - 0.3 = 0.7, and the probability of Joe being not late on a nonrainy day is 1 - 0.1 = 0.9. We can calculate the overall probability using the law of total probability by multiplying the respective probabilities with the probability of rain tomorrow and adding the results:

P(Joe is not late tomorrow) = P(Joe is not late | rainy) * P(rainy) + P(Joe is not late | nonrainy) * P(nonrainy)

= (1 - 0.3) * 0.7 + (1 - 0.1) * 0.3

= 0.7 * 0.7 + 0.9 * 0.3

= 0.49 + 0.27

= 0.76

Therefore, the probability that Joe is not late tomorrow is 0.76.

(b) Given that Joe was not late, we want to find the conditional probability that it rained. We can use Bayes' theorem to calculate this:

P(rainy | Joe is not late) = P(Joe is not late | rainy) * P(rainy) / P(Joe is not late)

We have already calculated P(Joe is not late) as 0.76. The probability of Joe being not late on a rainy day is 1 - 0.3 = 0.7, and the probability of rain tomorrow is 0.7. Plugging these values into Bayes' theorem, we get:

P(rainy | Joe is not late) = 0.7 * 0.7 / 0.76

≈ 0.658

Therefore, the conditional probability that it rained given Joe was not late is approximately 0.658.

To learn more about Bayes' theorem click here, brainly.com/question/29598596

#SPJ11

Answer:

\(\frac{16}{25}\)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The amount that each type would be 11.87 lbs of cashews and 15.13 lbs of brazil nuts

1. First, find the total cost of 27 lbs of the mixture: 27 lbs x $6.41/lb = $171.07.
2. Next, find the cost of cashews and brazil nuts in the mixture. Cashews cost $7.70/lb and brazil nuts cost $4.80/lb.
3. Subtract the cost of the brazil nuts from the total cost of the mixture: $171.07 - (27 lbs x $4.80/lb) = $105.27.
4. Divide the cost of the cashews ($105.27) by the cost of one pound of cashews ($7.70): $105.27/$7.70 = 13.66 lbs.
5. Subtract the number of pounds of cashews (13.66) from the total pounds of the mixture (27) to find the number of pounds of brazil nuts: 27 - 13.66 = 15.13 lbs.
6. Therefore, the mixture should contain 11.87 lbs of cashews and 15.13 lbs of brazil nuts.

See more about total cost at: https://brainly.com/question/5168855

#SPJ11

Answer:

x = 497.5

Step-by-step explanation:

that's the correct answer with solution

Answer:

3.14d > 50 cm

Step-by-step explanation:

Given that the circumference of a circle is approximately 3.14 times the length of its diameter

If the circumference is C and the length of the diameter is d then

C = 3.14d

If the circumference of a circle is more than 50 cm then

3.14d > 50

The  inequality can be used to find all possible diameter lengths, d,

d > 50/3.14

d > 15.92cm

Answer:

-2x^2-5x-3

Step-by-step explanation:

(3x^2 – 3x+6) - (5x^2 + 2x + 9)

Distribute the minus sign

(3x^2 – 3x+6) - 5x^2 - 2x - 9

Combine like terms

3x^2 -5x^2 -3x-2x +6-9

-2x^2-5x-3

To solve this problem, let's break it down step by step: The original area of the paper is \(81 cm^2\). The first strip that is cut off is 1/3 the original area. This means the first strip has an area of \((1/3) * 81 cm^2 = 27 cm^2\).

From this first strip, another strip is cut off that is 1/3 the area of the first. So, the second strip has an area of \((1/3) * 27 cm^2 = 9 cm^2\). This process continues indefinitely, with each subsequent strip being 1/3 the size of the previous one.
To find the sum of all the strip areas, we can use the concept of infinite geometric series. The formula for finding the sum of an infinite geometric series is S = a / (1 - r), where a is the first term and r is the common ratio. In this case, the first term (a) is \(27 cm^2\) and the common ratio (r) is 1/3. Plugging these values into the formula, we get

\(S = (27 cm^2) / (1 - 1/3)\).

Simplifying, we have

\(S = (27 cm^2) / (2/3) \\= (27 cm^2) * (3/2)\\ = 40.5 cm^2\).

Therefore, the sum of the areas of all the strips is \(40.5 cm^2\). The sum of the areas of all the strips cut from the original piece of paper is \(40.5 cm^2\). The area of the original piece of paper is \(81 cm^2\). When a strip is cut off that is 1/3 the size of the original area, it has an area of \(27 cm^2\). From this first strip, another strip is cut off that is 1/3 the area of the first, resulting in a strip with an area of \(9 cm^2\). This process continues indefinitely, with each subsequent strip being 1/3 the size of the previous one. To find the sum of all the strip areas, we use the formula for an infinite geometric series: S = a / (1 - r), where a is the first term and r is the common ratio. In this case, the first term is\(27 cm^2\) and the common ratio is 1/3. Plugging these values into the formula, we find that the sum of the strip areas is \(40.5 cm^2.\)

The sum of the areas of all the strips cut from the original piece of paper is \(40.5 cm^2.\)

To learn more about infinite geometric series visit:

brainly.com/question/30763189

#SPJ11

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

To know more about variable visit:

https://brainly.com/question/15740935

#SPJ11

Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.

In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.

Learn more about population here

https://brainly.com/question/19538277

#SPJ4

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

#SPJ2

Given that a company owner invests $15,000 at 5.5% compounded quarterly. To find the amount available in 9 years, we need to use the formula for compound interest which is given by;

A = P(1 + r/n)^(nt)WhereA = amountP = principal (initial amount invested) r = annual interest rate (as a decimal) n = number of times the interest is compounded in a year t = number of yearsTo find the amount available in 9 years, we have; P = $15,000r = 5.5% = 0.055n = 4 (since interest is compounded quarterly)t = 9Using the formula;A = P(1 + r/n)^(nt)A = $15,000(1 + 0.055/4)^(4×9)A = $15,000(1.01375)^36A = $15,000(1.6405)A = $24,607.50.

Therefore, the amount available in 9 years is $24,607.50 (rounded to the nearest cent).

Learn more about compound interest at https://brainly.com/question/16334885

#SPJ11

By following these steps, we should be able to solve problems related to the Law of Cosines using Kuta Software Infinite Algebra 2.

Apply the Law of Cosines:
1. Identify the given information: In a triangle, you will be given the length of two sides and the angle between them, or the length of all three sides.
2. Write down the Law of Cosines formula: c² = a² + b² - 2ab * cos(C),

where 'a', 'b', and 'c' are the side lengths of the triangle, and 'C' is the angle opposite to side 'c'.
3. Plug in the given information: Replace the variables in the formula with the given values.

If you know two sides and the angle between them, you can solve for the third side.

If you know all three sides, you can solve for one of the angles.

4. Solve for the missing side or angle: If you're finding a side, perform the arithmetic to calculate the square of the missing side, and then take the square root to find the actual side length.

If you're finding an angle, rearrange the formula to isolate the cosine of the angle, calculate the value, and then use the inverse cosine function (cos⁻¹) to find the angle in degrees or radians.
5. Verify your answer: Check if the resulting triangle's side lengths and angles follow the triangle inequality theorem and sum of angles, respectively.

For similar question on Cosines.

https://brainly.com/question/23720007

#SPJ11