What is the perimeter of the figure shown above? Round to nearest tenth of a foot.

A: 18.0

B: 24.7

C: 26.2

D: 26.3

Answer:

Step-by-step explanation:

The slope of a line on a graph is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Ernest used (x1, y1) = (15, 450) and (x2, y2) = (60, 900) to fill values into this formula. In doing so, he got ...

  m = (900 -450)/(60 -15) = 450/45 = 10

This is an appropriate use of the formula, so gave Ernest the correct answer.

The 20 rational numbers between -3/7 and 2/3 are: -0.42857, -0.14286, 0.14286, 0.42857, 0.71429, -0.28571, -0.07143, 0.07143, 0.28571, 0.57143, -0.61538, -0.38462, -0.15385, 0.15385, 0.38462, 0.61538, -0.5, -0.25, 0.25, 0.5.

Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not equal to zero. In other words, any number that can be written in the form of a fraction a/b, where a and b are integers and b is not equal to zero, is a rational number.

To find 20 rational numbers between -3/7 and 2/3, we need to find the difference between 2/3 and -3/7, which is 65/21. Then we divide 65/21 by 21 to get the increment value of 3/7. Starting with -3/7, we add 3/7 to it 20 times to get the 20 rational numbers between -3/7 and 2/3.

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The dimensions of the bookmark is 14cm.

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms. The perimeter of a square is equal to four times the length of its side, and its area is equal to the square of that length. As a result, the square's perimeter will be as follows: perimeter = 4 x side = 4 area units. As a result, given a square's size, we can determine its perimeter.

Given data

Area = 160cm

Perimeter = 56

Area = side²

Perimeter = 4(a)

Putting values in perimeter

Perimeter = 4a

56 = 4a

a = \(\frac{56}{4}\)

a = 14

The dimensions of the bookmark is 14cm.

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When comparing two group means, the degree of freedom refers to the number of scores free to vary once the means are known. Correct option is D.

The degree of freedom (df) is the number of independent pieces of information available in a study that may be used to estimate the value of the population parameter in question.

In layman's terms, the degree of freedom is the number of independent pieces of information that can be used to calculate a population parameter estimate in a statistical study. The degree of freedom (df) refers to the number of scores free to vary once the means are known.

This implies that there are a certain number of scores (or values) in the study that can be changed freely without affecting the mean of the study's scores. For instance, if the study's mean score is 75, the degree of freedom is the number of scores that may be adjusted without altering the mean score of 75.

As a result, the degree of freedom represents the number of values that can be varied to get a given statistic, such as the mean.

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The probability that a randomly selected guest is a female or is satisfied with the service is 0.84.

The correct answer is option a. 0.84.

Here, we have,

To calculate the probability that a randomly selected guest is a female or is satisfied with the service, we need to consider the number of guests who fall into these categories and the total number of guests surveyed.

Let's denote:

F: Event that the guest is a female.

S: Event that the guest is satisfied with the service.

From the given information, we have:

Female & Satisfied: 42

Female & Unsatisfied: 2

Male & Satisfied: 40

Male & Unsatisfied: 16

Total number of guests surveyed: 100

To calculate the probability of being a female or being satisfied with the service (F or S), we can add the probabilities of the individual events and subtract the probability of the intersection (where a guest is both female and satisfied) to avoid double-counting.

P(F or S) = P(F) + P(S) - P(F and S)

To calculate P(F):

P(F) = (Number of female guests) / (Total number of guests)

= (42 + 2) / 100

= 44 / 100

= 0.44

To calculate P(S):

P(S) = (Number of guests satisfied) / (Total number of guests)

= (42 + 40) / 100

= 82 / 100

= 0.82

To calculate P(F and S):

P(F and S) = (Number of female guests satisfied) / (Total number of guests) = 42 / 100 = 0.42

Now we can substitute the values into the formula:

P(F or S)

= P(F) + P(S) - P(F and S)

= 0.44 + 0.82 - 0.42

= 0.84

Therefore, the probability that a randomly selected guest is a female or is satisfied with the service is 0.84.

The correct answer is option a. 0.84.

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complete question;

To determine whether its service is satisfactory to its customers, a hotel surveyed 100 guests and the result is summarized in the table below. A guest is randomly selected from these 100 people. Female & Satisfied 42 Female & Unsatisfied 2 Male & Satisfied 40 Male & Unsatisfied 16 What is the probability that this guest is a female or is satisfied with the service? Select one: O a. 0.84 O b. 0.56 C. 0.82 d. 0.44 O e. None of the above

Answer:

the answe for that question is a

Answer:

5 in the equation is a coefficient because it has a variable after it.

The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

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Answer:

200 miles

Step-by-step explanation:

Set up a cost equation for each plan using x for miles.

Set the equations equal.

Solve for x, the miles.

For a 1 day rental.

Plan A:

C = 0.18x + 30

Plan B:

C = 66

0.18x + 30 = 66

0.18x = 36

x = 36/0.18

x = 200

Answer: 200 miles

     2. There is not sufficient evidence to support the claim that the average percentage of readers who own a particular make of car is above 53%

What is null and alternative hypothesis??|
The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

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Step-by-step explanation:

the graphic tells us that AOB = COD.

that means

4x - 2 = 2x + 12

2x = 14

x = 7

so,

AOB = 4x - 2 = 4×7 - 2 = 28 - 2 = 26°

BOC = 5x + 15 = 5×7 + 15 = 35 + 15 = 50°

COD = 2x + 12 = 2×7 + 12 = 14 + 12 = 26° (as expected)

The mean time between requests is estimated to be 22.366 microseconds with a standard error of 2.248 microseconds.

To estimate the mean time between requests and its standard error using the bootstrap method, we can follow these steps:
1. Compute the sample mean of the given data. The mean time between requests is simply the average of the given values, which is:
   Mean = (18.77 + 28.81 + 11.87 + 15.92 + 23.2 + 21.12 + 22.79 + 39.99 + 21.86 + 15.33) / 10 = 22.366 microseconds
2. Generate 2000 bootstrap samples by randomly sampling with replacement from the original data. Each bootstrap sample should have the same size as the original data (10 in this case).
3. For each bootstrap sample, compute the mean time between requests.

4. Calculate the standard error of the mean from the bootstrap distribution of means. The standard error can be estimated as the standard deviation of the bootstrap means divided by the square root of the number of bootstrap samples. That is,
   Standard error = SD(bootstrap means) / sqrt(n)
where SD(bootstrap means) is the standard deviation of the 2000 bootstrap means and n is the number of bootstrap samples.
Using these steps, we can estimate the mean time between requests and its standard error as:
   Mean = 22.366 microseconds
   Standard error = 2.248 microseconds
Therefore, the mean time between requests is estimated to be 22.366 microseconds with a standard error of 2.248 microseconds.

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Answer:

\( \frac{1 \\ }{3125} \)

Answer:

x = 9

Step-by-step explanation:

        \(\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\\ \dfrac{1}{a^m}=a^{-m}\)

\(\sf \dfrac{5^x}{5^{14}}=\dfrac{1}{5^5}\\\\5^{x -14} = 5^{-5}\)

Base are same. Compare the exponents.

 x - 14 = -5

        x = -5 + 14    {Addition property of equality}

        x = 9

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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If they indicate a different door, they are lying. Based on their response, you can determine which door leads to the treasure.

To determine which person always tells the truth and which person always lies, you can ask any one of them a question whose answer you already know. For example, you could ask "What is my name?" and then verify the answer with someone else. Once you have identified the person who always tells the truth and the person who always lies, you can ask the person who sometimes tells the truth or lies a question that will allow you to determine whether they are telling the truth or lying. A good question to ask the person who sometimes tells the truth or lies is "If I asked one of the other two people which door leads to the treasure, what would they say?" If the person responds by indicating the door that leads to the treasure, they are telling the truth.

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Answer:

256 text

Step-by-step explanation:

Let's call the number of text messages Sarah sends in a month as "x".
So, the total cost of the text messages is $0.25 * x.

The total cost of the phone service and text messages is $35 + $0.25 * x = $99.

So, $35 + $0.25 * x = $99.

Subtracting $35 from both sides, we have:$0.25 * x = $99 - $35 = $64

Dividing both sides by $0.25, we have:x = 256

So, Sarah sent 256 text messages in one month.

Answer:

1. Point B.

If you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes into its opposite. So, if we have a point, the reflection of this point across  the x-axis is the point. Finally, our point A (-2,-3) changes into:

Point B: (-2,3)

2. Point C.

If you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes into its opposite. So, if we have a point, the reflection of this point across the y-axis is the point (-x,y) . Finally, our point A(-2,-3)  changes into:

Point C:(2,-3)

Answer:

W = 76m

L = 83

Step-by-step explanation:

By definition a prime number and a composite number are:

Prime numbers: whole numbers greater than 1, that have only two factors: 1 and the number itself.

Composite numbers: whole numbers greater than 1, that have more than two factors. It is divisible by the number itself, the number 1 and at least one other number.

In that order, 1 is not a prime number and -600 is not a composite number. Options c and e are false.

Now, we need to check 443, 541 and 591.

To check if a number is prime or composite, we have to apply divisibility tests and check if the number is divisible by 2, 5, 3, 11, 7 or 13.

The divisibility rules for these numbers are:

2: If the last digit is an even number.

These numbers are odd, then they are not divisible by 2.

3: a number is completely divisible by 3 if the sum of its digits is divisible by 3.

4+4+3=11 it is not divisible by 3

5+4+1=10 it is not divisible by 3

5+9+1=15 and 1+5=6 it is divisible by 3, then 591 is not a prime number (option d is false).

5: a number is divisible by 5 if the last digit is 0 or 5.

443 and 541 are not divisible by 5.

11: take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number:

443-> 4-4+3=3 it is not divisible by 11

541->5-4+1=2 it is not divisible by 13

13: to check if a number is divisible by 13, we have to add four times of the last digit of the number to the remaining number and repeat the process until you get a two-digit number. Now check if that two-digit number is divisible by 13 or not. If it is divisible, then the given number is divisible by 13.

44+(3*4)=44+12=56 it is not divisible by 13

54+(1*4)=54+4=58 it is not divisible by 13.

Then, 443 and 541 are both prime numbers, then the answer is b. 541 is a prime number.

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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I believe that the answer is B

f(-4) = 49.

49

Step-by-step explanation:

f(x) = (x - 3)²

f(-4) = (-4 - 3)²

f(-4) = (-7)²

f(-4) = 49

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer:

D. The distance traveled during the time interval from one minute to 2 minutes is between 8 m and 10 m

The critical value z a/2 that corresponds to a 97% level of confidence is 1.96, and the critical value z a/2 that corresponds to an 80% level of confidence is 1.28.

In statistical hypothesis testing, the critical value is the point beyond which we reject the null hypothesis. To find the critical values, we need to use the standard normal distribution table or calculator.

For a 97% level of confidence, the significance level (α) is 0.03, and the critical value can be found by dividing α by 2 to get 0.015 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.96.

Similarly, for an 80% level of confidence, the significance level (α) is 0.20, and the critical value can be found by dividing α by 2 to get 0.10 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.28.

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The minute hand of a clock moves 6 degrees in 1 minute.

Therefore, the minute hand of a clock turns through the following degrees in:

(a) In 10 minutes, the minute hand of a clock turns through 60 degrees.

(b) In 23 minutes, the minute hand of a clock turns through 138 degrees.

The hour hand of a clock moves 0.5 degrees in 1 minute.

Therefore, the hour hand of a clock turns through the following degrees in:

(c) In ten minutes, the hour hand of a clock turns through 5 degrees.

(d) In twenty-three minutes, the hour hand of a clock turns through 11.5 degrees.

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Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²

f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  .f(x) =x²-2x+1

Rewrite the given function f(x).

f(x) =  (x-1)²

Now, the graph is stretched vertically by a factor of 2.

= 2(-x-1)²

reflect the graph about the y-axis.

2(x+1)²

move to the left by 3 units.

= 2(x+3+1)²

=2(x+4)²

The function g(x) =2(x+4)²

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Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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Answer: Picking the first option and constantly adding on and on you will eventually make way more than what the second option proposes, therefore picking the first option is the obvious choice.

Step-by-step explanation:

Well let’s see it starts off slow for instance 1, 2, 4, 8, 16 and so on adding that on for a month will eventually leave you with more.

Answer:

x = -3 and x = -2

Step-by-step explanation:

\(\frac{\sqrt{x+3} }{x+3} =1\)

x + 3 = \(\sqrt{x+3}\)

(x+3)² = \(\sqrt{x+3}\)²

x² + 6x + 9 = x + 3

Now we solve for x and get

x = -2, -3

So, the answer is x = -3 and x = -2