10. [0.14/0.5 Points] DETAILS PREVIOUS ANSWERS SCALCET8 6.5.50 Consider the given function and the given interval. f(x) = 22x/(1 + x2)2, [0, 2] (a) Find the average value fave of f on the given interval. = fave = = (b) Find c such that fave = f(c). (Round your answers to three decimal places.) (smaller value) (larger value) C = C =

answer: 56 tama po yan sinolve ko na yan

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

Answer:

≈451.37 cm³

Step-by-step explanation:

Since the diameter of the can is 6, the radius is 3.

Old can height: 12

Old can base radius: 3

Old can volume: 339.12 cm³

New can height: 12×1.1=13.2

New can base radius: 3×1.1=3.3

New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³

Answer:

shorter = 18

Step-by-step explanation:

x = shorter piece

y = longer piece

y = x + 7

x + y = 43

x + 7 + x = 43

2x + 7 = 43

2x = 36

x = 18

x + y = 43

18 + y = 43

y = 43 - 18

y = 25

Answer:

Think of it as 43 should be divided in two but one piece should be 7 inches longer.

43 = x + (x+7)

simply solving for x;

2x = 43/7

x = 18.

Answer:

True

Step-by-step explanation:

Answer:

bru im confused

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because I think it makes sense if I'm wrong I'm am very sorry

Answer:     0

Step-by-step explanation:

22.) FJ = KH

23.) <KEH = <JGF

hello

#stay At Home

thanks

a) Independent

b) Dependent

c) No

(a) The events are independent because the grade each person earns does not affect the other person's grade.
(b) The events are dependent because the grades of you and your study partner are likely to be influenced by each other's study habits and collaboration.
(c) Not necessarily. Two events can occur at the same time and still be independent, such as flipping two coins at the same time. However, if the occurrence of one event affects the probability of the other event happening, then they are dependent.
(a) You and a randomly selected student from your class both earn A's in this course.

Answer: Independent

Explanation: The events are independent because your performance in the course does not affect the performance of the randomly selected student, and vice versa. They are not disjoint, as both events can occur at the same time.

(b) You and your class study partner both earn A's in this course.

Answer: Dependent

Explanation: In this case, the events are dependent because your performance and your study partner's performance could be related (e.g., by studying together, you both improve your chances of earning an A). They are not disjoint, as both events can occur at the same time.

(c) If two events can occur at the same time, must they be dependent?

Answer: No

Explanation: Two events can occur at the same time without being dependent. For example, independent events can both occur at the same time, but their occurrence is not influenced by each other. Only when the occurrence of one event affects the probability of the other event occurring are they considered dependent.

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The transformation given as A(-8,7) → A'(-8,-7) represents a reflection over x-axis .

In the reflection of the point (x,y) over x-axis transformation ,the x-coordinate of each point remains the same, but the y-coordinate is negated (changes sign).

Let's consider the coordinates of point A that is  (-8, 7).

The transformation takes this point to A' (-8, -7).

We can see that the x-coordinate of the point remains the same which is -8. but , the y-coordinate changes from 7 to -7.

We know that in a reflection over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Therefore , the transformation that takes A to A' is a reflection over the x-axis.

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The given question is incomplete , the complete question is

Identify the Transformation given as A(-8,7) → A'(-8,-7)?

The probability that the mail arrival time is more than 20 minutes on a given day is 2/3.

It's nearly impossible to predict the outcomes of many events with a hundred percent certainty. However, we can still tell how likely the events are to happen.

Probability is how likely something is to happen. Probability can also mean a number that indicates the chance or likelihood that a particular event will occur. Probability is always between zero and one. Zero means impossible while one means certain. In most cases, the probability of something to happen is greater than zero and less than one.

Mathematically, we can express probability as P(A) = f/N where

Let P(A) represent the probability that the mail arrival time is more than 20 minutes on a given day, f represent the frequency (60 - 20), and N represent total number of possible outcomes, which is 60.

P(A) = (60 - 20)/60

P(A) = 40/60

P(A) = 4/6

P(A) = 2/3

There you have it! The probability is two-thirds.

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Answer: b yes

Step-by-step explanation: the unit rate will be 48

Answer:

B

Step-by-step explanation:

yes, the proportional ratio is y/x=k

156/3.25=48

204/4.25=48

252/5.25=48

the ratio is 48

The number of ways to replace all the -1s in the array is zero.

The array can be represented as a wave if and only if the number of -1s is even. This is because each -1 must be replaced with a positive integer in order to create a wave, and replacing one -1 with a positive integer will create a new -1 on the opposite side of the wave. Therefore, if there are an odd number of -1s, it is impossible to create a wave.

In the given array, there are 7 -1s, which is an odd number. Therefore, it is impossible to replace the -1s with positive integers in such a way that the resulting array can be represented as a wave.

The number of ways to replace the -1s with positive integers in the range 1 to m is:

(m^7) mod (10^9) = (m^7)

However, since it is impossible to create a wave with this array, the final answer is 0.

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To maintain the height and width proportion of a shape while dragging, you would typically hold down the Shift key on your keyboard.

When you select and drag a shape, holding down the Shift key constrains the proportions of the shape and ensures that the height and width change proportionally.

This technique is commonly used in graphic design and image editing software, as well as in various drawing and design applications. By holding down the Shift key while dragging a shape, you can prevent it from being distorted or skewed, preserving its original aspect ratio.

This feature is especially useful when you want to maintain the shape's original proportions or when you need consistency in the size and dimensions of multiple shapes. It helps ensure that the height and width remain in the same ratio as the original shape, regardless of how you adjust its size.

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Answer:

y=-16

Step-by-step explanation:

2(y-4)-5(y+8)=0  (distribute the 2 and the negative 5)

2y-8-5y-40=0   (combine like terms)

-3y-48=0    (add 48 to both sides)

-3y=48     (divide both sides by -3)

y=-16

Hope this helps :)

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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Answer:

Zb= 54°

Step-by-step explanation:

Complementary angles add up to 90°

90-37=54

Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.

The correct answer is A.

The correct answer is A.

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Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 kg/m³

The conversion value:

1 gram = 1/1000 kg

1 cm³ = 1/1000000 m³

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Grams per cubic centimeter = g/cm³

Kilograms per cubic meter = kg/m³

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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The graph of the problem depicts the rate of the temperature change.

To graph temperature change, you can use a line graph. The horizontal axis represents time, while the vertical axis represents temperature. You plot points on the graph corresponding to the recorded temperature at specific times, and then connect the points to form a line.

The slope of the line represents the rate of temperature change, with a steep line indicating a rapid increase or decrease in temperature and a gentle slope indicating a slow change. The line graph helps to visually represent changes in temperature over time and can be used to analyze patterns and trends.

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Answer:

first one should be SAS

second one should be the third choice

MCN= ACN-ACN-1 is the basis of diminishing marginal utility.

What is marginal utility?

The additional pleasure a consumer has from owning one extra unit of an item or service is known as marginal utility. Economists utilize the idea of marginal utility to estimate the quantity of a good that consumers will buy.

When the overall utility is increased by the consumption of an additional item, positive marginal utility occurs. On the other side, negative marginal utility arises when the overall utility is reduced by the consumption of one extra unit.

According to the law of diminishing marginal utility, as consumption rises, the marginal utility gained from each additional unit decreases, all other things being equal. The incremental improvement in utility brought on by consuming one more unit is known as marginal utility. An economic term for happiness or contentment is "utility."

So

MCN= ACN-ACN-1

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The number of arrangements for the world's societies is vast and ever-changing, making sociology a fascinating and dynamic field to study.

Sociology is the arrangement of the world's societies into different forms. The arrangement of societies can be looked at in many different ways, and there is no one right answer.

However, the most commonly recognized arrangement of the world's societies is based on their level of economic development, cultural differences, and political structures.

These arrangements can be divided into five categories: hunting and gathering, pastoral, agricultural, industrial, and post-industrial.

Each category represents a different stage of societal development and is characterized by specific cultural, economic, and political features.

Furthermore, the arrangement of societies is not just based on a single factor but is instead influenced by a complex interplay of economic, political, and cultural factors.

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Answer:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

Step-by-step explanation:

Given

\(Total = 368\)

\(Value = \$28.40\)

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

\(n + d = 368\)

\(1\ nickel = \$0.05\)

\(1\ dime = \$0.10\)

So, the value is:

\(0.05n + 0.10d = 28.40\)

Hence, the linear equations are:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

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