25 POINTS!!

Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 8 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?

In a hypothesis testing context, before examining the data, one should establish a null hypothesis and an alternative hypothesis.

Before conducting any analysis or collecting data, it is crucial to define the null hypothesis and the alternative hypothesis. The null hypothesis (H₀) represents the assumption of no effect or no difference between groups or variables, while the alternative hypothesis (H₁) represents the claim or hypothesis being tested. These hypotheses help define the question or statement that the researcher wants to investigate.

Formulating the null and alternative hypotheses before examining the data is important to ensure the hypothesis testing process is objective and guided by clear expectations. It helps to establish a framework for statistical analysis and allows for making informed decisions based on the evidence provided by the data.

Additionally, this initial step ensures that the hypothesis testing process remains rigorous and avoids potential biases that may arise from post hoc analyses.

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1. An "LVDT measures displacement.

LVDT stands for Linear Variable Differential Transformer which is a type of sensor that converts linear motion or position of an object to electrical signals for electronic processing. It is used to determine the displacement or movement of an object or system.

2. A pyrometer measures light intensity.

It is an optical temperature measurement device used for measuring high temperature without contact. The pyrometer senses and measures the intensity of the thermal radiations emitted from the object and then calculates the temperature of the object using the Stefan-Boltzmann law.

3. A Cds cell measures light intensity. CdS stands for Cadmium Sulphide, and it is a photoconductive material used in photoresistors to sense light. It is also used as a light sensor to detect and convert light intensity into electrical signals.

4. Gauge Pressure means the pressure measured compared to atmospheric pressure.

Gauge pressure is the difference between the pressure being measured and the atmospheric pressure at the measurement point. It is measured using a pressure gauge.

5. A Bourdon Tube is used to measure pressure.

The Bourdon tube is a type of mechanical pressure sensor that measures the pressure of liquids and gases. It is made up of a flattened and coiled metal tube that is connected to the pressure source, and as the pressure changes, the tube uncoils or straightens, and the movement is converted into a pointer movement.

6. The while loop will stop executing when the average temperature exceeds limits.

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Answer:

beta increases

Step-by-step explanation:

B. a car is blue and C. a student makes the drama team

The option (B) and option (C) are correct because they both are most likely independent.

An independent event is one that is unaffected by other events. The occurrence of one event has no bearing on the other.

As we know from the definition, the independent events which not dependent on each other.

From the events are given, the event (B) and event (C) are independent events.

B. Event A: A car is blue.

Event B: The car lasts over 20 years.

C. Event A: A student makes the drama team.

Event B. The student likes macaroni and cheese.

Thus, the option (B) and option (C) are correct because they both are most likely independent.

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The cost will be $504.00 to buy enough carpet for Zach's living room.

To determine the cost of the carpet for Zach's living room, we first need to calculate the area of the room. The area of a rectangle is found by multiplying the length by the width. In this case, the length is 9 yards and the width is 8 yards:

Area = 9 yards × 8 yards = 72 square yards

Now that we know the area of the room, we can calculate the cost of the carpet. The carpet costs $7.00 per square yard, so we multiply the area of the room by the cost per square yard:

Cost = 72 square yards × $7.00 per square yard = $504.00

Therefore, it will cost $504.00 to buy enough carpet for Zach's living room.

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Answer:

yes

84

Step-by-step explanation:

Answer:

yes, 84 pounds

Step-by-step explanation:

4 red balls would be 24 pounds

6 blue would be 60 pounds

Answer:

1. The like terms are 11x and 2x and the terms are 11x and 2x

2. The like terms are 9x and -5x and the terms are 9x and -5x

3. the like terms are (21x and x) and (6 and -5) and the terms are 21x, 6, -x, and -5.

4. The like terms are (8x and -3x) and (14 and 1). And the terms are 8x, 14, -3x, and 1.

Answer:

9 units

Step-by-step explanation:

Answer:

Diameter = 6 ft

Step-by-step explanation:

Area of a circle = pi r^2

    28.26 = pi r^2

     28.26 / pi = r^2

           r^2 = 8.9954

              r = ~ 3 ft  <=====   Diameter is 2r = 6 ft

The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:

i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.

Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.

ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.

Therefore, P(Bᶜ) = P(A) = 0.4.

iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).

Since A and B are disjoint, P(A ∩ B) = 0.

Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.

To summarize:

i) P(Aᶜ) = 0.6

ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.

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The probability that Ella's 10th roll is her last roll is 31/108, or approximately 0.2870.

To find the probability that Ella's 10th roll is her last roll, we need to consider the following:

The last roll must be a repeat of the previous roll, so the previous roll cannot be the first roll or the 6th roll, because there is no previous roll in those cases.

Ella must not have rolled the same number on consecutive rolls before her 10th roll.

The probability of rolling the same number on consecutive rolls is 1/6, so the probability of not rolling the same number on consecutive rolls is 5/6.

Let's break down the probability of Ella's 10th roll being her last roll by considering the different cases:

Case 1: Ella's 8th roll is the first roll of a pair, and her 9th roll is the second roll of that pair.

In this case, Ella cannot roll the same number on consecutive rolls, so the probability of her 10th roll being her last roll is simply 1/6.

Case 2: Ella's 8th roll is the first roll of a pair, but her 9th roll is not the second roll of that pair.

In this case, Ella must roll a number different from her 9th roll, and then roll the same number as her 9th roll on her 10th roll.

The probability of rolling a different number on her 9th roll is 5/6, and the probability of rolling the same number on her 10th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)*(1/6) = 5/36.

Case 3: Ella's 8th roll is not the first roll of a pair, but her 9th roll is the second roll of a pair.

In this case, Ella must roll a number different from her 8th roll, and then roll the same number as her 8th roll on her 9th roll.

The probability of rolling a different number on her 8th roll is 5/6, and the probability of rolling the same number on her 9th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)*(1/6) = 5/36.

Case 4: Ella's 8th roll is not the first roll of a pair, and her 9th roll is not the second roll of a pair.

In this case, Ella must roll a number different from both her 8th and 9th rolls, and then roll the same number as her 9th roll on her 10th roll.

The probability of rolling a different number on her 8th roll is 5/6, the probability of rolling a different number on her 9th roll, given her 8th roll, is 4/6, and the probability of rolling the same number as her 9th roll on her 10th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)(4/6)(1/6) = 5/54.

To find the total probability, we need to sum the probabilities from each case:

1/6 + 5/36 + 5/36 + 5/54 = 31/108.

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D is the answer

I hope this helps you

Answer:

then study well

Step-by-step explanation:

that might help, but I could help with any study questions, but I cant do test questions from the test

Answer:

14.2604

Step-by-step explanation:

this is because 22% as a decimal would be 0.22, and since this is out of 64.82, you have to multiply 0.22 by 68.82

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Hope this helps <33

Answer:

14.2604

Step-by-step explanation:

\(64.82*.22=14.2604\)

The length of the diagonal side is 82, or answer (d) in its simplest radical form.

The Pythagorean Theorem must be utilized in order to determine the length of the diagonal side of a square with a length of 8 feet. You can use the formula a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse, since the diagonal side of the square is. Because a and b are both 8 feet, you can use those numbers to solve for c:

82 + 82 = c2 64 + 64 = c2 128 = c2 The length of the diagonal side is 82, or answer d in its simplest radical form.

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Answer:

86

Step-by-step explanation:

2[2+(2x2x2x2x2]                                                                                                                                                                                                                                

2(2 + 32)

2(43)

86

To find the solution you start with the greater numbers (without the sings) in the target list:

Equal sings gives +

Different sings gives -

Two numbers that multiplied equals +90 are: +9 and +10

Two numbers that multiplied equals -88 are: -11 and +8

Two numbers that multiplied equals +70 are: -10 and -7

Two numbers that multiplied equals +40 are: -8 and -5

Two numbers that multiplied equals -33 are: -3 and +11

Two numbers that multiplied equals -20 are: +5 and -4

Two numbers that multiplied equals -18 are: -6 and +3

Two numbers that multiplied equals +9 are: -1 and -9

Two numbers that multiplied equals +6 are: +1 and +6

Two numbers that multiplied equals -6 are: +3 and -2

Two numbers that multiplied equals 0 are: +7 and 0

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

Step-by-step explanation:

4L 255ml

-

2L 755ml

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

1.5L or 1500ml or 1L 500ml

The critical points of the function f(x) = x³ - 7x² - 7x + 5 are (7 + √61) / 3 and (7 - √61) / 3.

Critical points of the given function are found by equating the first derivative of the function to zero.

Let's differentiate f(x) first.

Using the power rule of differentiation and simplifying, the first derivative of f(x) is given by:

f'(x) = 3x² - 14x - 5

We can find the critical points by setting f'(x) equal to zero and solving for x.

3x² - 14x - 5 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = [-(-14) ± √((-14)² - 4(3)(-5))] / (2)(3)x

= [14 ± √244] / 6x = [14 ± 2√61] / 6x

= (7 ± √61) / 3

There are two critical points: (7 + √61) / 3 and (7 - √61) / 3

Listing them in descending order and separated by commas, we have:

(7 + √61) / 3, (7 - √61) / 3

Therefore, the critical points of the function f(x) = x³ - 7x² - 7x + 5 are (7 + √61) / 3 and (7 - √61) / 3.

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Answer:

It is false

Step-by-step explanation:

Answer:  A.  85

Step-by-step explanation:

To set up an equation to solve for x you need to know:

The to 2 interior (inside) angles,  opposite of the exterior,  added together is equal to the exterior (outside) angle.

2x + 3 + 5x - 2 = 8x - 11

7x + 1 = 8x - 11

x = 12

Plug x back into the exterior angle outside angle

8(12)-11

96-11

85

The unit cost per pound of trail mix, in dollars is $3.75.

How to calculate Unit price of an item?

To calculate the unit price of an item, you have to understand that unit price means price per unit. To find the unit price we divide the total cost by the amount of items we are given in the question.

Given :

15x - 4y = 0

Where ,y is total cost in dollars of the trail mix and x is  the number of pounds bought.

To calculate , unit cost of trial mix , we need to calculate y

Therefore , from equation 15x - 4y = 0

We can say that,

y =(15/4)x

For unit cost we need to substitute x = 1

Thus, y = (15/4)*1

or

y = (15/4)

or

y = 3.75

Hence, the unit cost per pound of trail mix, in dollars is $3.75.

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The vector (nu) x is an eigenvector of A and corresponds to each nonzero complex scalar (nu) (lambda).

Let x in Cn be an eigenvector of A that corresponds to an eigenvalue. Assume that A is a n x n matrix (lambda). Ax = (lambda)x follows.

Let (nu) now be a complex scalar that is nonzero. A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x)

As a result, (nu)x is an eigenvector of A that corresponds to (nu) (lambda).

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Answer:

60 x 50 = 3000

65 x 50 = 3250

63 gets rounded to 60 and 51 to 50 ORRRRR

63 gets rounded to 65 and 51 to 50

Answer:

So you want to impwess youw Chinese mothew-in-waw.

Dads genewawwy wike a good show. A big steamed fish, a cwackwing powk bewwy, a fuww swab of chaw siu, sous vide Wagyu, a giant woast chicken, bottwe of wine with owd fashion cowk that goes 'zoonk'. He's the big idea guy. He wooks at you and his biggest concewn wiww awways be 'is this jokew capabwe of taking cawe of my daughtew?'

Mums awe genewawwy immune to those things. She's seen aww the twicks in the book when youw dad was busy couwting hew. Hew dad pwobabwy wondewed the same thing about hew husband. At the end of the day, she's the yin to youw fathew-in-waw's yang.

Youw mothew-in-waw doesn't cawe if you'we capabwe; she wants to know if you'we wewiabwe.

How do you pwove that?

You make tomatoes and egg stiw fwy - 番茄 / 西红柿炒蛋.

You snickew, you cwinge, you snowt.

Step-by-step explanation:

Answer:

m = 3, c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x , or y = 3x + 0 ← is in slope- intercept form

with m = 3 and c = 0

The domains of each function are classified as follows:

The domain of a function is the set composed by all the input values that are assumed by the function.

For each function in this problem, the inputs are given as follows:

Hence, the domain of function A is a discrete domain, as the number of quarters in the jar can assume countable values such as 0, 1, 2, ..., it does not assume decimal values.

For function B, the domain is a continuous domain, as measures of time can assume decimal values, for example, 10.5 minutes.

These differences discussed represent the comparison of the domains of each function.

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The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value

The maximum of a graph is found on the y axis. Considering the given interval, the point on the y axis is 4. Thus, the maximum of the graph over the interval is 4.