Farmer johns wants to make a circular Corral for his horses. If the diameter is to be 500 m, how many meters of fencing is needed? Round to the nearest whole number? Use 3.14 for pie.

The approximate median for San Diego is 60°F, the range is 30°F-85°F, and the interquartile range is approximately 15°F.

The approximate median for Boston is 45°F, the range is 5°F-70°F, and the interquartile range is approximately 15°F. San Diego generally has higher average temperatures than Boston, as evidenced by the higher median and larger range. However, both cities have a similar interquartile range.

For the plot representing San Diego, the approximate median is around 65°F, the range is about 50°F to 85°F, and the interquartile range is approximately 15°F.

For the plot representing Boston, the approximate median is around 45°F, the range is about 30°F to 65°F, and the interquartile range is approximately 15°F.

Comparing the two data sets, we can infer that San Diego generally has higher temperatures than Boston, as the entire plot for San Diego is shifted to the right compared to Boston. Additionally, the temperature range for San Diego is larger than that of Boston, suggesting that San Diego experiences greater temperature variability.

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Complete question is attached below

Answer:

A) 200 students

B) 24

C) 46%

D) 46% are driven by car

Step-by-step explanation:

For the null hypothesis the correct option is,

D. By definition, the null hypothesis is always equal to 0. Therefore, these hypotheses are equivalent.

In hypothesis testing, the null hypothesis (H₀) represents the assumption of no difference or no effect.

When comparing two population means (μ₁ and μ₂), the null hypothesis states that the difference between the means is equal to 0.

Therefore, H₀: μ₁ - μ₂ = 0 is equivalent to H₀: μ₁= μ₂.

This equivalence arises from the fact that when we assume the difference between the population means is 0,

it implies that the means themselves are equal.

So, both hypotheses convey the same idea that there is no significant difference between the population means.

Algebraically, if we subtract μ₂ from both sides of H₀: μ₁ - μ₂ = 0 we get,

μ₁ - μ₂ - μ₂ = -μ₂. Simplifying this expression, we get

μ₁ - 2μ₂ = 0, which is equivalent to H₀: μ₁ = μ₂.

Therefore, the null hypothesis H₀: μ₁= μ₂ is equivalent to H₀: μ₁ - μ₂ = 0, the correct option is D.

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When a person is 3 feet from a street light, the length of the shadow grows at a rate of 4 feet per second.

See the figure that illustrates the in question statement, attached.

making use of the related triangle theorem;

4/y = 12/x+y

Cross multiply

4(x+y)=12y

4x+4y = 12y

4x=8y

x/y =2

x=2y

Divide the two sides of the equation by t, where dx/dt = 2 dy/dt. The speed at which the person is walking away from the street light is expressed as dx/dt 

The growth rate of the shadow's length is measured by the ratio dy/dt.

Given that dx/dt = 8ft/s

by solving,

dy/dt = 4 ft/s

Hence the rate at which the length of the shadow growing when the person is 3 feet from the street light is 4ft/s

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Answer:

48

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

bc² - b

b = 2

c = -5

Step 2: Substitute and Evaluate

Answer:

48

Step-by-step explanation:

Hello,

\(bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48\)

Thanks

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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In an expression using the logical operator And Also, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false.

The And Also operator is a short-circuiting operator that is used to combine two or more Boolean expressions. It evaluates the left-hand expression first and then the right-hand expression only if the left-hand expression evaluates to true

. If the left-hand expression evaluates to false, then the right-hand expression is not evaluated at all. This helps to improve the performance of the code by avoiding unnecessary evaluations of expressions that would not change the outcome of the overall condition.

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In an expression using the logical operator And Also , as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. Therefore option c. And Also correct.

This is because the AndAlso operator employs short-circuit evaluation, meaning it stops evaluating once it encounters

the first false condition since the overall result will definitely be false.

In an expression using AndAlso, if the first condition is false, the entire expression is evaluated as false without testing

any further conditions. This is also known as short-circuit evaluation.

In contrast, the OrElse operator evaluates to true as soon as one of the compound conditions is true, without testing

any further conditions. The Nor and Xor operators are less commonly used and have different behavior.

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Answer:

B

Step-by-step explanation:

Answer:

Look to explanation

Step-by-step explanation:

The question says the original mosaic  is surrounded by a 3 inch by 5 inch frame.  The length has 5 squares & the width has 3 squares, so that means each square is an inch long.

1.  Perimeter is adding up how long all the sides are.  So for the original you add 3 + 5 + 3 + 5 = 16 inches

2.  Area is length x width, so we multiply 3 x 5 = 15 inches squared

3.  Since each square is an inch, to find the length we add up all the squares & we get 10.  Then we do the same for the width & get 6.  To figure perimeter, we add up all the sides  10 + 6 + 10 + 6 = 32 inches

4.  Area is length x width, so 10 x 6 = 60 inches squared

5.  For the original we needed 16 inches of steel.  For the larger one, we needed 32 inches.  32 inches is 2x bigger than 16.

6.  For the original we had an area of 15 inches squared.  For the larger one we had 60 inches squared.  60 is 4x bigger than 15.

Answer:

10.5

Step-by-step explanation:

5-4÷2+7.5

use P.E.M.D.A.S to solve

first, divide 2 from 4

4÷2=2

5-2+7.5

then subtract 2 from 5

5-2=3

3+7.5

then finally, add 3 and 7.5

3+7.5= 10.5

Hope This Helps!

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :

Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

\(return = C + C*r*t\)

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

\(return = C*e^{r*t}\)

Therefore for the Simply Saving Bank she'll earn:

\(return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300\)

While the Capital Bank she'll earn:

\(return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364\)

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

The EMT's best action would be to assess and provide immediate medical care to the 10-year-old boy, considering his injury and pain, without relying on the availability of his mother or her work number.

The EMT's primary responsibility is to ensure the well-being and provide necessary medical care to the injured child. In this scenario, the 10-year-old boy has fallen from a slide, resulting in a deformed right wrist and pain. The EMT should prioritize assessing and addressing the child's immediate medical needs.

The boy's lack of knowledge about his mother's work number or her availability should not hinder the EMT's actions. The EMT should focus on conducting a thorough examination of the boy's wrist, assessing the severity of the injury, and providing appropriate first aid or stabilization measures. This may include immobilizing the wrist, managing pain, and arranging for transportation to a medical facility to further evaluate and treatment.

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Answer:

13440ml a week

Step-by-step explanation:

8x240=1920

1920x7=13440

13440is the amount of mls a week

Answer:

13440ml

Step-by-step explanation:

8 x 240 = 1920ml  (per day)

(8 x 240) x 7 = 13440ml   (7 days = 1 week)

=================================================

Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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Answer:

B. 7 - 9i

Step-by-step explanation:

1) Remove Parentheses.

2 - 8i + 5 - i

2) Add 2 and 5.

7 - 8i - i

3) Subtract i from -8i.

7 - 9i

Answer:

Option B

The answer is 7 – 9i

Step-by-step explanation:

(2 – 8i) + (5 – i)

2 – 8i + 5 – i

7 – 9i

Thus, The answer is 7 – 9i

-TheUnknownScientist 72

Answer:

65.94cubic inch

Step-by-step explanation:

volume of cone = 1/3πr²h

=1/3×3.14×3²×7

=3.14×3×7

= 3.14×21

=65.95

unit is inch

then

65.94cubic inch

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

The range is 13.

Step-by-step explanation:

The definition of the range is to subtract the largest number from the smallest number. Looking at this set of numbers, the largest number is 30, and the smallest number is 17. When you subtract 30 - 17 you end up with 13.

Hope This helped :)

Answer:

13

Step-by-step explanation:

The height of the basketball hoop is 13.32'.

What is law of similarity?

The Law of Similarity in mathematics states that if two geometric figures have the same shape but different sizes, then they are considered similar. This means that the corresponding angles of the two figures are congruent, and the corresponding sides are proportional in length.

Formally, if we have two geometric figures A and B, and if every angle of figure A is congruent to the corresponding angle of figure B, and if the ratio of the length of any pair of corresponding sides of A and B is constant, then we can say that A and B are similar figures.

Here we can see two triangle and base of two triangle is given.

Here base of small triangle is 12' and the base of big triangle is (12'+25') = 37'.

It is also given that height of small triangle is 4'3.84".

Now we want to find the height of the basketball hoop which is equal to height of big triangle.

Let the height of the basketball hoop be x.

So, by law of similarity ratios,

12'/37' = 4'3.84"/x

Now, 4'3.84" = 4.32'

So, 12'/37' = 4.32'/x

Therefore, x = 13.32'

Therefore, the height of the basketball hoop is 13.32'.

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The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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The number of ways to arrange all six tables is given as follows:

720 ways.

The number of ways to have four of the tables is given as follows:

360 ways.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

To arrange the six tables, the number of ways is given as follows:

N = 6 x 5 x 4 x 3 x 2 x 1 = 720 ways.

To choose four tables, the number of ways is given as follows:

N = 6 x 5 x 4 x 3 = 360 ways.

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Answer:

the answer would be 0.372

Answer:

its A hope this helps

Step-by-step explanation:

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

\((\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4\)

Answer:

no solutions

Step-by-step explanation:

3x + 7 = 14 + 3x

Subtract 3x from each side

3x-3x + 7 = 14 + 3x-3x

7 = 14

This is never a true statement, so there are no solutions to the equation