this boxplot shows the distribution of heights of 16 undergraduate statistics students. from the above boxplot, approximately how many students are 69 inches or taller?

therefore the correct answer is c

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.

Simplify the inequality, then we have

25x - 16 ≥ 234

25x ≥ 234 + 16

25x ≥ 250

x ≥ 10

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

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Answer:

because the answer is 6.601 not 6.501

Step-by-step explanation:

you must have done the work wrong

Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

Answer:

Well I would say the answer is A

Step-by-step explanation:

Because there is no metion of line A

Hope this helps have an awsome day!

En la expresión:

Sustituye la letra "a" por diferentes signos de operaciones para ver si el resultado coincide con alguna opción.

Comenzando por un signo "+":

El cual, no se encuentra entre las opciones.

Intentando ahora con el signo "-":

Dicho número sí se encuentra entre las opciones.

Por lo tanto, la expresión correcta es -8.5(9.4-6.1), y la respuesta es:

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Answer:

Its just like normal addition and subtraction just more hard

Step-by-step explanation:

Look it up

Answer:

probably 50

Step-by-step explanation:

The average rate of change between the given values of the variable is 21

A function can be defined as an expression or rule showing the relationship between a dependent and an independent variable.

Given the function;

h(t) = 2t^{2}\) − t

For t =2

Substitute the value of t as 2 in the function, we have;

h(2) = 2 (2)² - (2)

Find the square

h(2) = 2(4) - 2

h(2) = 8 - 2

h(2) = 6

For t = 9

Substitute the value of t as 9 in the function, we have;

h(9) = 2(9)² - 9

Find the square

h(9) = 2(81) - 9

h(9) = 153

The average change = 153 - 6 = 147/ 9 -2 = 147/ 7 = 21

Thus, the average rate of change between the given values of the variable is 21

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Answer:

The answer is correct; here is proof

The figure of option D will form the given figure of a three-dimensional truncated cone after rotation on the vertical axis.

A frustum is a three-dimensional solid that is obtained by cutting the top of a cone parallel to the base of the cone.

A three-dimensional truncated cone is drawn that is called a frustum.

A vertical line labeled as the axis is drawn. A trapezoid is drawn that touches the left side of the line. An arrow rotated around the line in a clockwise direction is drawn.

So, the figure of option D will form the given figure after rotation on the vertical axis.

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Dilation and rotation transformation produces shapes that are not congruent.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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The correct statement are Option A, B,C,D,E,F. The statement are true for 0 < b < 1 are .The domain is all real numbers. The domain is x>0. The range is all real numbers. The range is y>0. The graph has x-intercept 1. The graph has a y-intercept of 1.

Consider the function f(x) = b, which is a constant function.

Let's examine the statements that are true for 0 < b: Domain

The domain is all real numbers (A) is the statement that is true for f(x) = b.

There are no restrictions on the input (x) since this is a constant function.

Range The range is y = b since the function always takes the same value (b) regardless of the input.

Therefore, the statement "The range is all real numbers" (C) is false.

The correct statement is that the range is y = b, so the statement "

The range is y > 0" (D) is false as well.

Intercepts Since the function is constant, it does not have an x-intercept.

Therefore, the statement "The graph has x-intercept 1" (E) is false.

However, the function has a y-intercept of b, so the statement "The graph has a y-intercept of 1" (F) is false.

Increasing or Decreasing Since the function always takes the same value, it is neither increasing nor decreasing.

Therefore, the statements "The function is always increasing" (G) and "The function is always decreasing" (H) are false.

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Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.

To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.

Here's the step-by-step process to find the intervals of concavity and points of inflection:

Find the first derivative of the function, f'(x).

Find the second derivative of the function, f''(x).

Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.

Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.

Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.

Let's go through an example to illustrate this process:

Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.

Find the first derivative, f'(x):

f'(x) = 3x^2 - 6x - 9.

Find the second derivative, f''(x):

f''(x) = 6x - 6.

Set f''(x) equal to zero and solve for x:

6x - 6 = 0.

Solving for x, we get x = 1.

Therefore, the potential point of inflection is x = 1.

Determine the intervals and signs of f''(x):

Choose test points in each interval and evaluate f''(x).

Interval 1: (-∞, 1)

Choose x = 0 (test point):

f''(0) = 6(0) - 6 = -6.

Since f''(0) < 0, the graph is concave down in this interval.

Interval 2: (1, +∞)

Choose x = 2 (test point):

f''(2) = 6(2) - 6 = 6.

Since f''(2) > 0, the graph is concave up in this interval.

Check the concavity at the point of inflection:

Evaluate f''(x) on either side of x = 1.

Choose x = 0 (left side of x = 1):

f''(0) = -6.

Since f''(0) < 0, the graph is concave down on the left side of x = 1.

Choose x = 2 (right side of x = 1):

f''(2) = 6.

Since f''(2) > 0, the graph is concave up on the right side of x = 1.

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The function which represent the distance and time is y=6x-17.5.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here according to the given data, let us take to points to find linear function then,

\((x_1,y_1)=(0.5,3)\) and \((x_2,y_2)=(1,6)\).

Now using slope formula, m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> Slope m = \(\frac{6-3}{1-0.5} = \frac{3}{0.5}\) = 6

Now using equation formula , \(y-y_1=m(x-x_1)\) then,

=> y-0.5=6(x-3)

=> y-0.5=6x-18

=> y=6x-18+0.5

=> y=6x-17.5

Hence the function which represent the distance and time is y=6x-17.5.

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Answer:

Explanation:

• Loan Amount = $500

• Time = 2 weeks

• The amount paid pack = $520

We want to determine the simple interest rate.

First, find the amount paid as interest:

Benjamin Franklin was an American whose official education stopped in 1716 when he was 10 years old, whilst the others went to college.

Franklin's official education was shortened due to financial restrictions, despite the fact that he was a well-known polymath and one of the Founding Fathers of the United States. He dropped out of school when he was 10 and started working for his father's candle manufacturing company. Franklin, however, became a self-taught person who deeply studied a variety of disciplines and made great contributions to science, literature, and politics as a result of his intellectual curiosity and quest for information. Franklin's accomplishments are proof of the effectiveness of lifelong learning and self-education.

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Step-by-step explanation:

Weakly decreasing sequences that are between p and q are in bijection with sequences of 0's and 1's of length q-p+N, where the sequences have exactly N ones. It's obvious that the number of such sequences is choose(q-p+N, N) because that's the number of ways of choosing N things from q-p+N things.

A sequence or function is weakly decreasing if the value of each term or point is less than or equal to the previous term or point.

In other words, a weakly decreasing sequence or function does not increase. It can stay the same or decrease, but it cannot go up. For example, the sequence 5, 4, 4, 3, 2, 2, 1 is weakly decreasing because each term is either less than or equal to the previous term. is weakly decreasing because each term in the sequence is either equal to or less than the previous term. However, the sequence {5, 3, 6, 1, 2} is not weakly decreasing because the third term (6) is greater than the second term (3).

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Answer:

16

Step-by-step explanation:

Greatest common factor (GCF) of 80 and 96 is 16. We will now calculate the prime factors of 80 and 96, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80 and 96.

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

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(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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Answer:

Answer:

x=-8

Step-by-step explanation:

3(2x-1)+7=-44

3(2x)+3(-1)+7

6x-3+7=-44

6x-3+3+7

6x+7=-41

6x+7-7

6x=-48

6x/6=48/6

x=-8

Hope it helped!

Answer:

its the second one

Step-by-step explanation:

Answer:

∠ 3 and ∠ 2

Step-by-step explanation:

Complementary angles sum to 90°

Since ∠ 1 = 90° and ∠ 1, ∠ 2 and ∠3 lie on a straight line, then

∠ 1 + ∠ 2 + ∠ 3 = 180°, that is

90° + ∠ 2 + ∠ 3 = 180° ( subtract 90° from both sides )

∠ 2 and ∠ 3 = 90°

Since they sum to 90° then

∠ 3 and ∠ 2 are complementary

Answer: 49

Step-by-step explanation:

78 subtracted by 29 equals 49

Answer:

Step-by-step explanation:

78-29

49

Jerry scored 49 points

Applying division by successive subtraction method, the maximum number of shirts that can be bought is 24. Below is the solution algorithm.

Definir p,quotient,remainder Como Real

p <- 13 // T-shirt price

quotient <- 0 // Number of T-shirts

remainder <- 321 // available money

Repetir

 remainder <- remainder-p

 quotient <- quotient+1

Hasta Que remainder<p

Escribir 'Maximum number of T-shirts: ',quotient

FinAlgoritmo

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