What is the surface area of the composite solid figure.

Answer:

4230.14

Step-by-step explanation:

2040/1700=1.2

2448x1.2=2937.6

2937.6x1.2=3525.12

3525.12x1.2=4230.144

round to the nearest hundredth

4230.14

brainliest please

No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.

The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.

The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.

Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.

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The correct option is option a) One standard deviation.

According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within one standard deviations of the mean.

According to the empirical rule, the bell or mound-shaped distribution will have approximately 68% of the data within one standard deviation of the mean. This means that if the data is normally distributed, then about 68% of the data points will fall within one standard deviation above or below the mean.

Similarly, the empirical rule states that approximately 95% of the data will fall within two standard deviations of the mean, and about 99.7% of the data will fall within three standard deviations of the mean.

This means that if the data is normally distributed, then 95% of the data points will fall within two standard deviations above or below the mean, and 99.7% of the data points will fall within three standard deviations above or below the mean.

It is important to note that the empirical rule is based on the assumption that the data is normally distributed. If the data does not follow a normal distribution, then the empirical rule may not apply.

Therefore, the answer to the question is (a) One standard deviation, (b) Two standard deviations, and (c) Three standard deviations. Option (d) Four standard deviations and (e) Four standard deviations are not correct, and option (f) None of the above is partially correct as it excludes options (a), (b), and (c), but option (g) All of the above is not correct as options (d) and (e) are incorrect.

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Answer:

*

Step-by-step explanation:

Answers

8 x - 1/2 = -4 - middle line

-3/4 x 8 = - 6 - side line

-3/4 - - 1/2 = -1/4 - top line

-1/2 - 1/2 = -1 - vertical line

Starting points = 7,985

Doubling the points: 7,985 x 2 = 15,970

Subtracting 3,500 points: 15,970 - 3,500 = 12,470

Adding 4,972 points: 12,470 + 4,972 = 17,442

Therefore, Daniel has 17,442 points at the end of the game.

Answer:

s = 16

l = 20.

Step-by-step explanation:

12s + 7l =  332  

9s + 14l =  424

Multiply first equation by -2:

-24s - 14i = -664      Now add this to second equation:

-15s = -240

s = 16

Now substitute s = 16 in equation 2:

9(16) + 14i = 424

14i = 424 - 144 = 280

l = 20.

The value of x₀ is approximately equal to 24.113.

The formula for the standard normal distribution is given by

=> z = (x - μ) / σ  [ where x is the random variable, μ is the mean, and σ is the standard deviation ]

It also involves using the standard normal distribution table or calculator to find the probability of a value being greater than a given z-score, and solving for the original random variable using the standardized value.

Here we have

Suppose x is a normal distribution random variable with mean 20 and standard deviation 2.5.

We can use the standard normal distribution to solve this problem.

First, we standardize the random variable x by subtracting the mean and dividing by the standard deviation:

=> z = (x - μ) / σ = (x - 20) / 2.5

Now we want to find the value x₀ such that P(x > x₀), which is equivalent to finding the value z such that P(z > (x₀ - 20) / 2.5).

Using a standard normal distribution table or calculator, we can find that the probability of z being greater than 1.645 is approximately 0.05.

So we have:

P(z > 1.645) = P((x - 20) / 2.5 > 1.645)

Simplifying and solving for x₀, we get:

=> (x - 20) / 2.5 > 1.645

=> x - 20 > 4.113

=> x > 24.113

Therefore,

The value of x₀ is approximately equal to 24.113.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The measure of the angle JKL as per the attached diagram is equal to 97 degrees.

As per in the question,

Diagram is attached.

Angle JKL is linear pair angle with given angle of measure 83 degrees.

Sum of the pair of linear pair is always equal to 180 degrees.

Let 'x' be the measure of angle JKL, we get,

83° + m ∠JKL = 180°

Subtract 83° from both the side of the equation we get,

⇒ 83° - 83° + m ∠JKL = 180° - 83°

⇒ m ∠JKL = 97°

Therefore, the measure of the angle JKL as per the attached diagram is equal to 97 degrees.

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Answer:

The median speed in race A is about 153 miles per hour, and the median speed in race B is about 145 miles per hour.

Step-by-step explanation:

For comparison, we need to analyze and compare both races data which are as follows

For Race A

Maximum range = 170 miles per hour

Minimum  range = 120 miles per hour

First quartile  ≈ 142 miles per hour

Median quartile ≈ 153 miles per hour

It comes from

\(= \frac{142\ miles + 165\ miles}{2}\)

= 153 miles

The Third quartile = 165 miles per hour

For Race B

Maximum range  = 165 miles per hour

Minimum range = 125 miles per hour

First quartile  ≈ 139 miles per hour

Median quartile = 145 miles per hour

It comes from

\(= \frac{139\ miles + 150\ miles}{2}\)

= 145 miles

The third quartile = 150 miles per hour

Hence, the last option is correct

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

Answer:

cos(x)=10/15

Step-by-step explanation:

As cosine is Base/Hypotenues

cos(x)=JL/JK

= 10/15

The equation used to find the measure of angle LJK is option C. cos(x) = 10/15.

Trigonometric functions are the functions which are represented as the ratio of the sides of a right angled triangle.

The three main trigonometric functions are sine, cosine and tangent function.

Sine function of an angle is the ratio of the opposite side to the hypotenuse of the triangle.

Cosine function of an angle is the ratio of the adjacent side to the hypotenuse of the triangle.

Here,

Hypotenuse of the triangle = KJ = 15 inches

LJ = 10 inches is the adjacent side with respect to the angle x.

We can use cosine function here.

cos (x) = LJ / KJ = 10/15

Hence the equation used is cos(x) = 10/15.

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Answer:

\(x=8,\\y\approx 6.9\)

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio \(x:x\sqrt{3}:2x}\), where \(2x\) is the hypotenuse of the triangle and \(x\) is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since \(x\) is labelled as the hypotenuse of the triangle, \(x\) must be \(4\cdot 2=\boxed{8}\).

Variable \(y\) must then represent \(x\sqrt{3}\) for \(x=4\), yielding \(y=4\sqrt{3}\approx \boxed{6.9}\)

Answer:

-3x + 10

Step-by-step explanation:

you add like terms of 20 and negative 10 to simplify to -3x +10

Answer:

3/10 liters more

Step-by-step explanation:

8/10 - 5/10 = 3/10

Answer:

-2

Step-by-step explanation:

Whenever you see f(x), for any number x, you plug x into the function. In your function, f(x) = -x - 1, you want to find f(1).

So, f(1) = -(1) - 1, which equals -2

Ramiro is correct that if all corresponding angles are equal then the triangle is said to be similar.

Triangles are said to be similar if any of the following is true:

1. All or any two of the corresponding angles are equal

2. All the corresponding sides are proportional to each other

3. One of the corresponding angles is equal and the adjoining corresponding sides are proportional.

Triangles are said to be congruent if any of the following is true:

1. All of the corresponding sides are equal

2. Two of the angles are equal and so is one of the corresponding sides of the triangle.

3. One of the corresponding angles is equal and the adjoining corresponding sides are also equal.

4. In a right-angled triangle, either the base or height and the hypotenuse are equal.

Since in the question, the criteria for the similar triangles is fulfilled then Ramiro is correct.

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Answer: Jackie Robinson was an African American baseball player. He had accomplished-

He was well known for-

The rest is up to you :)

Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)

Step-by-step explanation:

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

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Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

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

Explanation:

Let's focus on one point, say the point (3,3).

How far is this point from the vertical line x = -1? That would be 4 units. You can count the spaces or subtract with absolute value.

So to go from (3,3) to the mirror line, we move 4 spaces to the left. Then we'll move another 4 spaces to the left to arrive at the image point (-5,3). The x coordinate shifted over 8 spots but the y coordinate stays the same.

The point (3,6) moves in the exact same way, and the exact same set of distances. It will land on (-5,6).

The point (5,3) needs to move 6 spaces to the left to land on the mirror line. Then another 6 spaces to the left to get to (-7,3).

------------

To summarize:

Each time the y coordinate stays the same for any given point being moved. This makes the two triangles on the same horizontal level together.

Once again, refer to the diagram below for a visual summary. I used GeoGebra to make the drawing. It's a free online tool which I recommend for geometry students.

Step-by-step explanation:

The simplified expression is 6\(b^4\)√(12,.5b)  

We have,

\(\sqrt{450b^9}\)

This can be simplified as,

√450 x \(\sqrt{b^9}\)

Finding the perfect square values.

= √(9 x 50) x √(b x \(b^8\))

=√(3² x 50) x √b x √(\(b^4\))²

Square root cancel with perfect square values.

= 3 x √50 x √b x \(b^4\)

= 3 x √(4 x 12.5) x √b x \(b^4\)

= 3 x 2 x √12.4 x √b x \(b^4\)

= 6\(b^4\)√(12,.5b)  

Thus,

The simplified expression is 6\(b^4\)√(12,.5b)  

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The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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The speed of satellite moving in a stable circular orbit about the earth at a height of 4750 km is 5.982 * 10³ m/s.

We know that formula for speed of satellite in orbit is given by,

V = √(GM/r)

where G refers to the gravitational force of earth.

M refers to mass of earth.

r refers to the radius of its orbit from the center of earth.

We know that the values are,

G = 6.673 * 10⁻¹¹ N

M = 5.98 * 10²⁴ Kg

r = Radius of earth + height of satellite about earth = 6.59 * 10⁶ m + 4.75 * 10⁶ m = (6.59 + 4.75) * 10⁶ m = 11.34 * 10⁶ m

So the speed of the satellite at orbit is given by

= √((6.673 * 10⁻¹¹) * (5.98 * 10²⁴))/(11.34 * 10⁶) = √(3.519 * 10⁷) = 5.982 * 10³ m/s [Rounding off to three significant figures]

Hence the speed of the satellite moving in a stable circular orbit about the earth at a height of 4750 km is 5.982 * 10³ m/s.

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Her displacement is 9.43 miles, and her office is 5 miles west and 8 miles north from her house

Let's use the notation (x, y) to denote Beth's position, we assume she starts at the point (0, 0).

First she travels 9 miles west and 9 miles north, so the new position is:

(0 - 9, 0 + 9) = (-9, 9)

Then travels 6 miles west and 6 miles nort

(-9 - 6, 9 + 6) = (-15, 15)

then travel 10 miles east and 7 miles south to their office

(-15 + 10, 15 - 7) = (-5, 8)

So the office is 5 miles west and 8 miles north from her house, and the displacement is equal as the absolute value of that point.

dispacement = √( (-5)² + 8²) = 9.43

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Answer: x = 8

because  The upper triangle is an isosceles triangle (the two sides are equal)

=> 5x + 5 = 45°

<=> x = (45 - 5) : 5

<=> x = 40:5 = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

5x + 5 + 5x + 5 + 90 = 180, that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8