Joy has a ribbon that measures 16 yards. She cuts 9 pieces of ribbon to decorate gifts. Each piece of ribbon that Joy cuts measures 4 feet.

What is the length, in yards, of the remaining ribbon?

The probability can be found using the formula for a continuous uniform distribution: P(50.2 ≤ X ≤ 50.7) = (50.7 - 50.2) / (52.0 - 50.0).

P(50.2 ≤ X ≤ 50.7) = 0.5
Therefore, the probability that the class length is between 50.2 and 50.7 min is 0.5. This means that the likelihood of selecting a class length within this range is 50%, which is relatively high given the range of possible lengths.

The lengths of the professor's classes follow a continuous uniform distribution between 50.0 minutes and 52.0 minutes. To find the probability that the class length is between 50.2 and 50.7 minutes, we can use the following formula for a continuous uniform distribution:

P(a ≤ X ≤ b) = (b - a) / (B - A)

Here, A = 50.0 min (lower bound), B = 52.0 min (upper bound), a = 50.2 min, and b = 50.7 min.

Plugging in the values:

P(50.2 ≤ X ≤ 50.7) = (50.7 - 50.2) / (52.0 - 50.0)
P(50.2 ≤ X ≤ 50.7) = 0.5 / 2
P(50.2 ≤ X ≤ 50.7) = 0.25, So, the probability that the class length is between 50.2 and 50.7 minutes is 0.25 or 25%.

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Answer:

-8(3x-8)

Step-by-step explanation:

Factor -8 out of -24x+64

Answer:

14 is +1

15 is -9

Step-by-step explanation:

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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Answer:

numerator - is 2, 15, 18, 6

denominator - is 12, 14, 33, 8, 64

Step-by-step explanation:

2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32

Answer:

1. <2, <7

2. 58

3. 78

4. a and b

h5. <2 and <7 ( i think this is the same question as the first one)

Step-by-step explanation:

2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)

2x + 7 = 123, subtract 7

2x = 116, divide 2 for both sides to make x by itself

x = 58

3. 78 because of consecutive interior angles

Answer:

The removed number is 16

Step-by-step explanation:

Five numbers have a mean of 12.

Now;

Mean = Σx/x

Thus; Σx = 12 × 5 = 60

Now,we are told that if one number is removed, the mean is 11.

Thus;

(60 - x)/4 = 11

60 - x = (11 × 4)

60 - x = 44

x = 60 - 44

x = 16

Thus,the removed number is 16

You can use the fact that whenever bases are same, the product of such quantities end up getting their exponents added.

The product result of given expression is \(^5\sqrt{(2x)^4}\)

Suppose you've got two values to multiply with each other and you have got both value's bases same, then the multiplication will end up with result being that base raised with sum of the exponents of both the initial values.

For example:

\(a^b \times ^c =a^{b+c}\)

You can convert the roots to powers. Then you can use the fact that the bases are same and thus the powers will add.

Remember that if you've got xth root, then the power would be 1/x.

For our case, it will go like this:

\(^5\sqrt{4x^2} \times ^5\sqrt{4x^2} = \: ^5\sqrt{(2x)^2} \times ^5\sqrt{(2x)^2} = {((2x)^2)}^{\frac{1}{5}} \times {((2x)^2)}^{\frac{1}{5}} = (2x)^{\frac{2}{5}} \times (2x)^{\frac{2}{5}}\\\\ ^5\sqrt{4x^2} \times ^5\sqrt{4x^2} = (2x)^{\frac{2}{5} + \frac{2}{5}} = (2x)^{\frac{4}{5}} = \: ^5\sqrt{(2x)^4}\)

Thus, the final product result will be written as \(^5\sqrt{(2x)^4}\)

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Answer:

1. 25

2. 44

3. 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it, and selecting another black is 9/25.

To find the probability follow these-

Determine the probability of selecting a black checker on the first draw.

There are 6 black checkers and a total of 10 checkers (6 black + 4 red).

So, the probability of selecting a black checker on the first draw is 6/10,

which can be simplified to 3/5.

Since the black checker is replaced, there are still 6 black checkers and

a total of 10 checkers in the bag. Therefore, the probability of selecting a

black checker on the second draw is also 3/5.

To find the probability of both events occurring, multiply the probabilities together: (3/5) × (3/5) = 9/25.

So, the probability of selecting a black checker from a bag of 6 black and

4 red checkers, replacing it, and selecting another black is 9/25.

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Answer:

50 + 20 = 70
70 + 25 = 95
150 + 95 = 245

In conclusion, 150 + 20 + 25 equals to a total amount of 215.

Step-by-step explanation:

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hemo

150 + 20 + 25

= 100 +50+20+20+5

= 100+90+5

=195

we first need to figure out how long the entire 10k race will take the runner.

Since the runner has completed 30% of the race in 20 minutes, we can use that information to estimate the total time it will take the runner to complete the entire race.

To do this, we can use a proportion. If the runner completed 30% of the race in 20 minutes, we can set up the equation: 30/100 = 20/x, Here, x represents the total time it will take the runner to complete the race. To solve for x, we can cross-multiply:

30x = 100 * 20

30x = 2000

x = 2000/30

x ≈ 66.67

So, the runner will complete the entire 10k race in approximately 66.67 minutes. Next, we need to determine whether the runner can maintain the same pace for the entire race. If the runner can maintain the same pace, we can use the information we have to estimate the runner's final time.

If the runner completed 30% of the race in 20 minutes, we can use that to calculate how long it will take the runner to complete the remaining 70% of the race. To do this, we can set up the equation: 30/100 = 20/x, Solving for x, we get: x = 20 * 100 / 30, x ≈ 66.67/3, x ≈ 22.22 .

So, the runner will complete the remaining 70% of the race in approximately 22.22 minutes if she can maintain the same pace. Adding this time to the 20 minutes the runner has already completed, we get: 20 + 22.22 = 42.22,

Therefore, if the runner can maintain the same pace, her final time for the 10k race will be approximately 42.22 minutes.

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Answer:

13 = x

Step-by-step explanation:

\(\frac{6}{8}\) = \(\frac{(x + 2)}{(x + 7)}\)

6x + 42 = 8x + 16

42 = 2x + 16

\(\frac{26}{2}\) = \(\frac{2x}{2}\)

13 = x

Answer:

\(y \geqslant \frac{2}{3} x - 2\)

\(y + 2 \geqslant \frac{2}{3} x\)

\( \frac{2}{3}x - y \leqslant 2\)

\(2x - 3y \leqslant 6\)

Answer:

18

Step-by-step explanation:

the range is how far from the smallest number to the biggest number in the set so 22-4 is 18

Work Shown:

Range = max - min = 22 - 4 = 18

The range represents the distance from the smallest item to the largest item. It tells us how spread out the data set is, in a sense.

Answer:

A. 15 mi/h; 20 mi/hr

Step-by-step explanation:

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

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Answer:

I think it's choice B and D

Step-by-step explanation:

they both are a straight line and would both have a slope of zero. between point A and D is a slope obviously but D and F would not be the same slope because the line gets steeper. that's how I look at it. I'm pretty sure that's it.

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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1. 9 + (-2) = 7

2. -25 + 11 = -14

3. -12 -15 = -27

4. 25 ÷ -5 = -5

5. 33 × 2 = 66

6. 15 × - 10 = -150

7. -220 ÷ -5 = 44

8. -6 + -7 = -13

The statement that is not true of a normal curve is a. It is skewed.

A normal curve, also known as a bell curve or Gaussian distribution, is a symmetric probability distribution.

In summary, a normal curve is a symmetric probability distribution that is not skewed, and its total area contains 100% of the cases.

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The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between the first and third quartiles of the data set.

Specifically, the first quartile (Q1) marks the 25th percentile of the data set, while the third quartile (Q3) marks the 75th percentile.

The difference between Q3 and Q1 is known as the interquartile range (IQR).The IQR is a helpful measure of spread in a data set since it excludes outliers from the calculation. Outliers are any data points that fall outside of 1.5 times the IQR above the third quartile or below the first quartile of the data set. Therefore, the middle 50% of the distribution for X lies between Q1 and Q3, with the IQR representing the range of values between these two quartiles.

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Answer:

3388 kg

Step-by-step explanation:

If you mean to increase by 21%, then

You may

100% + 21% = 121%

2800 x 121/100

2800 x 1.21

= 3388 kg

Answer:

(-4,-8)

Step-by-step explanation:

a. The pinecone hits the ground approximately 3.97 seconds after falling from the tree.

b. The pinecone falling from a height of 36 feet hits the ground in the least amount of time, approximately 0.72 seconds.

a For our equation, a = -16, b = 32, and c = 25. Plugging these values into the quadratic formula, we get:

x = (-32 ± √(32² - 4(-16)(25))) / (2(-16))

x = (-32 ± √(1024 + 1600)) / (-32)

x = (-32 ± √2624) / (-32)

x = (-32 + √2624) / (-32) ≈ 3.97 seconds

b. Using the quadratic formula again:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = -16, b = 32, and c = -11. Substituting these values into the quadratic formula, we have:

x = (-32 ± √(32² - 4(-16)(-11))) / (2(-16))

x = (-32 ± √(1024 - 704)) / (-32)

x = (-32 ± √320) / (-32)

x = (-32 + √320) / (-32) ≈ 0.72 seconds

The pinecone falling from a height of 36 feet hits the ground in the least amount of time, approximately 0.72 seconds.

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Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 5x² - 46x + 77

If you want the roots they are 11/5 and 7 both positive.

Answer:

Step-by-step explanation:

7 hr/3 pumps

So first we want to find the unit rate which would be...

5.25 hr/1 pump

Now that we found the unit rate we are going to multiply it by 2 because there are 2 pumps...

5.25*2=10.5

So our answer is 10.5 hr/ 2 pumps

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For the given statement , correct answer is option e: there is either no association or a negative association between the factor and the disease.

Reason with explanation:

The complete question is:

In a study of a disease in which all cases that developed were ascertained, if the relative risk for the association between a factor and the disease is equal to or less than 1.0, then:

a. There is no association between the factor and the disease

b. The factor protects against development of the disease

c. Either matching or randomization has been unsuccessful

d. The comparison group used was unsuitable, and a valid comparison is not possible

e. There is either no association or a negative association between the factor and the disease

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