Before sending track and field athletes to the Olympics, the U.S. holds a qualifying meet. The upper box plot shows the top 12 men's long jumpers at the U.S. qualifying meet. The lower box plot shows the distances (in meters) achieved in the men's long jump at the 2012 Olympic games. Which pieces of information can be gathered from these box plots?


Choose all answers that apply:

(Choice A) A The Olympic jumps were farther on average than the U.S. qualifier jumps.

(Choice B) B All of the Olympic jumps were farther than all of the U.S. qualifier jumps.

(Choice C) C The Olympic jumps vary noticeably more than the U.S. qualifier jumps. (Choice D) D None of the above



Nvm too late, its A and B

Answer:

4/4

Step-by-step explanation:

y=4 x+1

   4        hope that helps!!

     don´t forget to thank and Brainliest.

Answer:

2 2/3 kg

Step-by-step explanation:

Total tomatoes picked = 4 kg

Tomatoes thrown out = 1 1/3 kg into

How much kg of good tomatoes did he keep?

Total tomatoes remaining = Total tomatoes picked - Tomatoes thrown out

= 4 kg - 1 1/3kg

= 4 - 4/3

= (12-4)/3

= 8 /3

= 2 2/3 kg

He kept 2 2/3 kg of good tomatoes

In the expression (ax⁶)^(1/n) = 7x³ the values of a and n are

The expression (ax⁶)^(1/n) = 7x³is simplified as follows

Information from the problem

(ax⁶)^(1/n) = 7x³

to make x⁶ to be equal to x³ we use the powers

6 * y = 3

y = 1/2

hence n = 2

substituting n = 2 and solving

(ax⁶)^(1/2) = 7x³

√(a) x³ = 7x³

dividing both sides by x³

√a = 7

squaring both sides of the equation wil result to

√a = 7

(√a)² = 7²

a = 7²

a= 49

We can therefore say that a = 49 and n = 2

Learn more about equations at:

https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

Putting values of x and y.

5(6) / 3(-4) + 6

30 / - 12 + 6

10 / - 4 + 6

5 / - 2 + 6

= 3.5

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

the hexadecimal number 3AB8 (base 16) is equivalent to 0011 1010 1011 1000 in binary (base 2).

The above solution comprises more than 100 words.

The hexadecimal number 3AB8 can be converted to binary in the following way.

Step 1: Write the given hexadecimal number3AB8

Step 2: Convert each hexadecimal digit to its binary equivalent using the following table.

Hexadecimal Binary

0 00001

00012

00103

00114 01005 01016 01107 01118 10009 100110 101011 101112 110013 110114 111015 1111

Step 3: Combine the binary equivalent of each hexadecimal digit together.3AB8 = 0011 1010 1011 1000,

To know more about hexadecimal visit:

https://brainly.com/question/28875438

#SPJ11

To calculate the magnitude of the linear momentum of Earth, we can use the formula:

Linear Momentum = mass * velocity.

In this case, the mass of Earth is given as 5.97 × 10^24 kg.

The velocity of Earth in its orbit can be calculated using the formula for the circumference of a circle:

Circumference = 2π * radius.

In this case, the radius is given as 1.50 × 10^11 m.

The velocity is then calculated by dividing the circumference by the time it takes for Earth to complete one orbit, which is approximately 1 year or 3.15 × 10^7 seconds.

Velocity = Circumference / Time = (2π * radius) / (3.15 × 10^7 s).

Once we have the velocity, we can calculate the linear momentum:

Linear Momentum = mass * velocity.

Using the given values, we can plug them into the formulas to calculate the magnitude of Earth's linear momentum at its location.

 To learn more about momentum click here:brainly.com/question/30677308

#SPJ11

Answer: 9z

Step-by-step explanation:

(NOTE: I've already solved this in the comments, but I am going to put an answer here for anyone else who stumbles across this question.)

To solve this problem, rewrite the first term into the form k * z^n:

> 3 * z^(1/4)

Now, you have 3z^(1/4) * 3z^(3/4). Now, we can use a power rule (a^x * a^y = a^(x+y)) to solve the problem. Your final answer should be:

> 9 * z^1, or 9z.

The order of the differential equation d²y/dx² + 4x(dy/dx) = d³(cos(2x))/dx³ is 3.

The order of a differential equation is determined by the highest derivative present in the equation. In the given differential equation, the highest derivative is the third derivative, d³(cos(2x))/dx³. Since this is the highest derivative and there are no higher-order derivatives present, the order of the differential equation is 3. This means that the equation involves up to the third derivative of the dependent variable y with respect to the independent variable x.

You can learn more about differential equation at

https://brainly.com/question/1164377

#SPJ11

The midpoint of diagonal PR is: B. (5, 4).

The midpoint of diagonal QS is: D. (5, 4).

The midpoint of the diagonals: E. coincide.

This implies that the diagonals of the parallelogram PQRS G. are equal to each other.

In order to determine the midpoint of a line segment with two (2) end points, we would add each end point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment PR, we have:

Midpoint of PR = [(4 + 6)/2, (7 + 1)/2]

Midpoint of PR = [10/2, 8/2]

Midpoint of PR = [5, 4].

For line segment QS, we have:

Midpoint of QS = [(8 + 2)/2, (7 + 1)/2]

Midpoint of QS = [10/2, 8/2]

Midpoint of QS = [5, 4].

In conclusion, we can reasonably infer and logically deduce that the midpoint coincides and the diagonals of parallelogram PQRS are equal to each other.

Read more on midpoint here: brainly.com/question/29298470

#SPJ1

Answer:

38

Step-by-step explanation:

4e + g² - 3e - 9 - g ( collect the e- terms together )

e + g² - 9 - g ( substitute g = 7, e = 5 into the expression )

= 5 + 7² - 9 - 7

= 5 + 49 - 16

= 54 - 16

= 38

Answer:

1/13 I think but I'm not sure wait it's wrong

Step-by-step explanation:

add all the pupils who play a instrument which is 20 so u do 33-20=13

Answer:

10

Step-by-step explanation:

8 + 2 = 10

Answer:

The perimeter is 48

Step-by-step explanation:

If the width is W

AT first , Length is 10 +w

According to the question,

\((w+8) (10+w+4) = 135\\(w+8) (w+14) = 135\\\\w^{2} + 14w + 8w + 112- 135 = 0\\\\ w^{2} + 22w - 23 = 0\\(w+23) (w-1) = 0\\\\w+ 23 = 0 w-1=0\\\\w= -13 or w = 1\)

Expended width will be  w +8 = 1+8 = 9

Length is 10+w+4 = 15

So the perimeter is

= i2 x (9+15)

= 2x 24

= 48

The Solution to the problem of the rectangle is given below

For Part A:

For Part B

Meaning of Perimeter

The perimeter of any shape can be defined as the total sum of the sides of the shape.

For Part A

equation model= (14 + w) * (w +8) = 135

14w + 112 + 8w + \(w^{2}\) = 135

\(w^{2}\) + 22w - 23 = 0

solving the quadratic equation

w = -23 or 1

Because we are dealing with a physical quantity we will make use of the value 1

lenght of original rectangle = 10 + 1 = 11

Part B

Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)

Perimeter = 48

In conclusion, The Solution to the problem of the rectangle is given above.

Learn more about Perimeter: https://brainly.com/question/19819849

#SPJ1

To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

Know more about exponential distribution here:

https://brainly.com/question/31130457

#SPJ11

The lateral and total surface areas of the given cone are 753.98 cm² and 1206.31 cm² respectively.

A cone has a height 'h', radius 'r', and slant height 'l'.

The slant height of the cone is obtained by the Pythagorean theorem. I.e.,

l² = h² + r²

Then,

Its lateral surface area(LSA) = πr(\(\sqrt{h^2+r^2}\)) square units and

Its total surface area(TSA) = πr(r + l) square units

It is given that,

A cone has a height h = 16 cm and radius r = 12 cm

Then, the slant height is calculated by

l² = h² + r²

l  = \(\sqrt{h^2+r^2}\)

On substituting,

l = \(\sqrt{16^2+12^2}\)

 = \(\sqrt{400}\)

 = 20 cm

So,

LSA = πr(\(\sqrt{h^2+r^2}\))

       = π × 12 × (\(\sqrt{16^2+12^2}\))

       = π × 12 × 20

       = 753.98 cm²

and

TSA = πr(r + l)

       = π × 12 × (12 + 20)

       = π × 12 × 32

       = 1206.37 cm²

Therefore, the lateral and total surface areas of the cone with a height of 16 cm and a radius of 12 cm are 753.98 cm² and 1206.37 cm².

Learn more about a right cone and its surface areas here:

https://brainly.com/question/23340582

#SPJ4

Answer: The lateral area is 240π square centimeters. The total surface area is 384π square centimeters.

Step-by-step explanation:

The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Ian walks 4 1/2 miles every day

i.e. in 1 day walks = 9/2 mile

so, Ian walk in 4 1/2 days is.

in 9/2 days walks = 9/2* 9/2 miles

                             =81/4 miles

Hence, The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

Answer: Trinomial

Step-by-step explanation:

Tri- means three terms.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

learn more on arc here: https://brainly.com/question/1582130

#SPJ1

Answer:

Find the unit rate of each printing machine and compare.

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

To know more about normal probability distribution,

https://brainly.com/question/33601330

#SPJ11

Answer:

x = 40

Step-by-step explanation:

x/(2 1/2) = 16/1

x/(5/2) = 16

Multiply both sides by 5/2.

x = 16 * 5/2

x = 80/2

x = 40

Answer: x = 40

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

For more question on quadratic visit:

https://brainly.com/question/1214333

#SPJ8

Answer:

After Multiplying them.

we get 0 as an answer.

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

To know more about system of equations, refer here:

https://brainly.com/question/21620502

#SPJ4

Answer:

When the boat is 6 m from the dock, it is approaching the dock at the rate of √37/6 m/sec.

Step-by-step explanation:

Let x = distance of the boat from the dock at time t

    y = length of rope at time t

Draw a right triangle with horizontal leg x, vertical leg 1, and hypotenuse y.

We know that dy/dt = -1 and want to find dx/dt when x = 6.

By the Pythagorean Theorem, x2 + 12 = y2.

   2x(dx/dt) = 2y(dy/dt)

        dx/dt = y(dy/dt) / x     When x = 6, y2 = 36 + 1 = 37

                                                            So, y = √37

         dx/dt = -√37 / 6

When the boat is 6 m from the dock, it is approaching the dock at the rate of √37/6 m/sec.

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

\(Given: Statement\\ To\ find: Correct\ optician\\ tan\theta=\frac{2}{30\sqrt{13}}\)

\(sin\ B=\frac{2}{33}\)

\(sin A=\frac{1}{7}=\frac{30\sqrt{13}}{3311}=\frac{3\sqrt{13}}{11}\)

I hope this helps you

:)