Find the midpoint given the endpoints:



(_________ , _________)

Question 2 options:
Blank # 1
Blank # 2

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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The limit of (x-3) / (x-9) as x approaches 9 does not exist due to the undefined value in the denominator.

The limit is an important concept in calculus that describes the behavior of a function as the independent variable approaches a specific value.

In this problem, we want to find the limit of the expression (x-3) / (x-9) as x approaches a specific value.

To find the limit, we must substitute values of x that are very close to the specific value and see what the expression approaches.

However, it is important to note that if the limit does not exist, then the function is undefined or has a vertical asymptote at the specific value.

In this case, it is easy to see that the limit does not exist as x approaches 9 because the denominator of the fraction is equal to 0, which is undefined.

The fraction becomes undefined at x = 9 and the limit does not exist.

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An illustrates the abuse of respondents in marketing research is :

Not providing the promised incentive for completing interviews or questionnaires.

The world organization body, the American Marketing Association (AMA), conveys the definition of marketing research is a function that connects customers, consumers, or the general public with marketers through information used to identify marketing problems and opportunities.

Meanwhile, Philip Kotler defines marketing research as the systematic design, collection, analysis, and reporting of data or findings that are relevant to a particular marketing situation faced by a company.

Simply put, marketing research is the identification, collection, analysis, and presentation of systematic and objective information to help companies make decisions related to problem solutions and find opportunities in the marketing process.

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Answer:

h = 28.5 ft

Step-by-step explanation:

the 2 situations are similar, that is the triangles formed in both cases are similar.

then the ratios of corresponding sides are in proportion

let h be the height of the house , then

\(\frac{4.7}{h}\) = \(\frac{9.4}{57}\) ( cross- multiply )

9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )

h = 28.5 ft

Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24

The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.

The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.

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Answer:

no se entiende la imagen

Answer:

La A

Step-by-step explanation:

Mentira no se ve nada solo escoge la D de Dios

Answer: answer is in the photo

Step-by-step explanation:

Answer:

x=7

Angle = 102

Step-by-step explanation:

Both angles are congruent, meaning they have the same measure.

Set your formula up as

15x-5=13x+9

15x=13x+9+5

15x-13x=9+5

2x=14

x=14/2

x=7

Now plug in 7 for x

15x-3

15*7-3

105-3

102

Answer:

756

Step-by-step explanation:

42 boxes, each contained 18 flowers, which means

42*18=the total number

Answer:

756 Flowers

Step-by-step explanation:

N.o of boxes: 42

N.o of Flowers in each box= 18

Total n.o of flowers sold= (n.o of boxes * n.o of flowers in each box)

=(42*18)

=756 flowers.

Therefore, the total n.o of flowers sold are 756 flowers.

Hope this helps!

Answer:

Step-by-step explanation:

The price before the festive season is $488.75

Data;

To calculate the price before the festive season, we simply need to subtract 15% from $575.

\(\frac{15}{100} = \frac{x}{575} \\x = 86.25\)

The increase in the ticket is $86.25., Let's calculate the price before the festive season.

\($575 - 86.25 = 488.75\)

The price before the festive season is $488.75

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Answer:

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

Step-by-step explanation:

Distribute 2 to 1 and -x --->  (2-2x)+3x

Combine Like Terms ---> 2-x

So 2(1-x)+3x = 2-x

The equation of the graph is y = -2x + 1

From the question, we have the following points on the line

(0, 1) and (1, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 1

Using the points, we have

m + 1 = -1

m = -2

So, the equation is y = -2x + 1

In (a), we have

c = 1

This is the y-intercept

For the x intercept, we have

-2x + 1 = 0

This gives

x = 1/2

Parallel lines have equal slopes

This means that the slope must be -1/2

Because the line must go through (0, 0), the equation is y = -1/2x

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Hi there!  For this one, just set up an equation of what you know and don't know.

20 x __% = 15, I think you're asking.

20 x (n) = 15

Divide both sides by 20 to isolate n.  Go on from there!  If you need more help, just let me know.

Answer:

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}\)

Step-by-step explanation:

Given

\(\cos(\theta) = -\frac{2}{3}\)

\(\theta \to\) Quadrant III

Required

Determine \(\tan(\theta) \cdot \cot(\theta) + \csc(\theta)\)

We have:

\(\cos(\theta) = -\frac{2}{3}\)

We know that:

\(\sin^2(\theta) + \cos^2(\theta) = 1\)

This gives:

\(\sin^2(\theta) + (-\frac{2}{3})^2 = 1\)

\(\sin^2(\theta) + (\frac{4}{9}) = 1\)

Collect like terms

\(\sin^2(\theta) = 1 - \frac{4}{9}\)

Take LCM and solve

\(\sin^2(\theta) = \frac{9 -4}{9}\)

\(\sin^2(\theta) = \frac{5}{9}\)

Take the square roots of both sides

\(\sin(\theta) = \±\frac{\sqrt 5}{3}\)

Sin is negative in quadrant III. So:

\(\sin(\theta) = -\frac{\sqrt 5}{3}\)

Calculate \(\csc(\theta)\)

\(\csc(\theta) = \frac{1}{\sin(\theta)}\)

We have: \(\sin(\theta) = -\frac{\sqrt 5}{3}\)

So:

\(\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}\)

\(\csc(\theta) = \frac{-3}{\sqrt 5}\)

Rationalize

\(\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)

\(\csc(\theta) = \frac{-3\sqrt 5}{5}\)

So, we have:

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta)\)

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)\)

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)\)

Substitute: \(\csc(\theta) = \frac{-3\sqrt 5}{5}\)

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}\)

Take LCM

\(\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}\)

Stacked-column charts and stacked-bar charts can be difficult to perceive small differences in areas. The correct answer to the question is b.

Stacked-column charts and stacked-bar charts are used to display the composition of a variable across different categories. They are useful when you want to show how a variable is divided into different components within each category.

However, when the differences between the components are small, it can be difficult to perceive these differences visually.

This is because stacked-column charts and stacked-bar charts use areas to represent the values of the components. The area of each component is proportional to its value, but our ability to perceive the difference between areas is limited.

When the differences between the areas are small, it becomes more difficult to distinguish between them, and we may have to rely on numerical values to understand the differences.

In summary, the disadvantage of using stacked-column charts and stacked-bar charts is that they can be difficult to perceive small differences in areas. Therefore, it may be more effective to use other types of charts or graphs when the differences between the components are small.

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An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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Answer:

B. 336. 38

Step-by-step explanation:

So, what you want to do is multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is your markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

THIS IS NOT YOUR ANSWER!

don't forget that!

you will then subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

Round up then there is your answer!

= $336. 38

hope this helps!!

The probability of taking at most five minutes to find a parking space at 8 am, following a normal distribution with a mean of 10 minutes and a standard deviation of 3 minutes, can be found by calculating the z-score.

To find the probability, we need to standardize the value of five minutes using the z-score formula. The z-score is calculated as (X - μ) / σ, where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, X is five minutes, μ is 10 minutes, and σ is 3 minutes. Substituting these values into the formula, we get (5 - 10) / 3 = -5/3.

Now, we need to find the corresponding probability from the standard normal distribution table for a z-score of -5/3. Looking up this z-score in the table, we find the probability to be approximately 0.0918.

Therefore, the probability that it takes at most five minutes to find a parking space at 8 am is approximately 0.0918, or 9.18%.

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1) The upper sum for the function f =1/x is 2.083

2) The lower  sum for the function f = 1/x is 0.9708

To approximate the area under the curve f = 1/x on the interval (1, 5), we will use a Riemann sum with n = 4 rectangles.

The width of each rectangle will be Δx = (5 - 1) / 4 = 1.

The height of each rectangle will be the maximum value of f in its interval, which occurs at the left endpoint of each interval

f(1) = 1/1 = 1

f(2) = 1/2

f(3) = 1/3

f(4) = 1/4

Therefore, the area of each rectangle will be:

A = Δx × f(left endpoint) = 1 × f(left endpoint)

The upper sum is the sum of the areas of the rectangles whose heights are greater than or equal to the function values over the interval:

Upper sum = A(1) + A(2) + A(3) + A(4)

= 1 + 1/2 + 1/3 + 1/4

= 2.083

The height of each rectangle will be the minimum value of f in its interval, which occurs at the right endpoint of each interval

f(2) = 1/2

f(3) = 1/3

f(4) = 1/4

f(5) = 1/5

Therefore, the area of each rectangle will be:

A = Δx × f(right endpoint) = 1 × f(right endpoint)

The lower sum is the sum of the areas of the rectangles whose heights are less than or equal to the function values over the interval

Lower sum = A(1) + A(2) + A(3) + A(4)

= 1/2 + 1/3 + 1/4 + 1/5

= 0.9708

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The given question is incomplete, the complete question is:

Approximate the area under the curve f = 1/x on (1,5) by first setting up the 1) Upper sum and the 2) Lower sum Let the number of rectangles n=4. Your answer must be an integer or a fractional form.

Answer: 45000

Step-by-step explanation:

The unemployment rate should be 23.1%.

Total Labour Force = Total Population - People are Below 16 Years of Age - Unemployed People Not Looking for Work

= 100,000,000 - 25,000,000 - 10,000,000

= 65,000,000

Now

Employment Rate =  Unemployed People Actively Looking For work ÷ Total Labour Force

= 15,000,000 ÷ 65,000,000

= 23.1%

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The one or two other sequence to create FGHIJ from ABCDE are:

1. F, B+5=G, C+5=H, D+5=I, E+5=J.

2. Reverse ABCDE to get EDCBA

A sequence refers to an ordered list of items. It may be letters, numbers, or any other objects arranged in a particular order.

A sequence of rigid motions and dilations is a combination of transformations that preserve the original shape and size of a figure, but change its position, orientation, and scale.

To create the sequence FGHIJ from ABCDE, there are many possible sequences that can be used. Here are two:

Sequence 1:

Add 5 to each letter in ABCDE to get FGHIJ: A+5=F, B+5=G, C+5=H, D+5=I, E+5=J.

Sequence 2:

Reverse the order of the letters in ABCDE to get EDCBA.

Add 5 to each letter in EDCBA to get JIHGF: E+5=J, D+5=I, C+5=H, B+5=G, A+5=F.

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Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

\(v^2=u^2+2as\)

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/\(s^2\)

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

\(v^2=u^2+2as\)

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

\(v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s\)

So, the answer is:

final velocity, v = 21.75 m/s

The eigenvalue λ = 1 has a multiplicity of 3, and the corresponding eigenvector is [v₁, -1, 1] where v₁ ≠ 0.

To find the eigenvalues and eigenvectors of matrix A, we need to solve the equation Av = λv, where A is the given matrix, v is the eigenvector, and λ is the eigenvalue.

Given matrix A:

A = [[1, 1, 1],

    [0, 1, 0],

    [0, 0, 1]]

To find the eigenvalues, we need to solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

A - λI = [[1 - λ, 1, 1],

          [0, 1 - λ, 0],

          [0, 0, 1 - λ]]

det(A - λI) = (1 - λ)((1 - λ)(1 - λ) - 0) = (1 - λ)^3

Setting the determinant equal to zero:

(1 - λ)^3 = 0

Solving for λ:

1 - λ = 0

λ = 1

So, the eigenvalue is λ = 1, and it has a multiplicity of 3.

To find the eigenvectors, we substitute the eigenvalue λ = 1 back into the equation Av = λv and solve for v.

(A - λI)v = 0

Substituting λ = 1:

(A - I)v = 0

(A - I) = [[0, 1, 1],

           [0, 0, 0],

           [0, 0, 0]]

Row-reducing (A - I):

RREF(A - I) = [[0, 1, 1],

              [0, 0, 0],

              [0, 0, 0]]

From the row-reduced form, we can see that the second row is all zeros, indicating that the second component of the eigenvector can be any value. Let's choose it as 1 for convenience.

Taking the first row, we have:

0v₁ + v₂ + v₃ = 0

Rearranging, we get:

v₂ + v₃ = 0

We can choose v₃ as any value we want, and then we can solve for v₂:

v₂ = -v₃

Therefore, an eigenvector corresponding to the eigenvalue λ = 1 is given by:

v = [v₁, -v₃, v₃] = [v₁, -1, 1], where v₁ and v₃ can take any non-zero values.

So, the eigenvalue λ = 1 has a multiplicity of 3, and the corresponding eigenvector is [v₁, -1, 1] where v₁ ≠ 0.

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Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

The required mean and the standard deviation of the given data based on number of tickets is equal to 111.2 and 32.84 respectively.

Calculate the mean,

Add up all the values in the set and divide by the total number of values,

Mean

= ( Sum of all the observations ) / ( Total number of observations )

= (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85) / 12

= 1334 / 12

= 111.2

So the mean number of tickets sold is 111.2.

Standard deviation,

Calculate the standard deviation,

First need to calculate the variance.

The difference between each value and the mean, squaring those differences, adding them up, and dividing by the total number of values,

= ((135 - 111.2)^2 + (71 - 111.2)^2 + (69 - 111.2)^2 + (80 - 111.2)^2 + (158 - 111.2)^2 + (152 - 111.2)^2 + (161 - 111.2)^2 + (96 - 111.2)^2 + (122 - 111.2)^2 + (118 - 111.2)^2 + (87 - 111.2)^2 + (85 - 111.2)^2) / 12

= (566.44 + 1616.04 + 1780.84 + 973.44 + 2190.24 + 1664.64 + 2480.04 + 231.04 + 116.64 + 46.24 + 585.64+ 686.44) / 12

= 12937.68 /12

= 1078.14

Square root of the variance to get the standard deviation,

√1078.14= 32.84

So the standard deviation is approximately 32.84.

Therefore, the mean and the standard deviation is equal to 111.2 and 32.84 respectively.

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The above question is incomplete, the complete question is:

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?

135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.

F

1) For variables like these, we most often use the mean that will compute all data points (in this case, the number of jobs a person had throughout his life ) for a central tendency measure.

2) Examining the options, then we can state that the answer is: F

and that is the answer.

Complete question :

The probability of Jamie making money investing in bonds is 1/20. The probability of Jamie making money investing in stocks is 82%. Which of these events is more likely?

Answer:

Hence, It is more likely that Jamie will make money by investing in stocks.

Step-by-step explanation:

Probability of making money Investing in Bond = 1/20

Probability of making money Investing in stocks = 82%

Comparing the two probabilities, we can either convert both to decimal, fraction or percentage ;

Converting to percentage :

Probability of making money Investing in Bond = 1/20 = 0.05 = 0.05 * 100% = 5%

Probability of making money Investing in stock = 82%

82% > 5%

Hence, It is more likely that Jamie will make money by investing in stocks.

Answer:

Jamie makes money investing in stocks.

Probability of making money Investing in stocks = 82%

A function cannot send one input to more than one distinct output. You can think of this as passing the vertical line test – if you can draw a vertical line which passes through more than one point in a graph, it does not represent a function.

a. Not a function (there are several values of x that are sent to more than one value of y)

b. Not a function (-1 is sent to two different values of y)

c. Function (each value of x is sent to exactly one value of y)

d. Function (though 2 is listed as an input twice, the y-value is the same both times, so it is not sent to two different outputs)

e. Not a function (7 is sent to more than one different value)

a) H0: Average level of BPA in tomato soup is not greater than 100 ppb; H1: Average level of BPA in tomato soup is greater than 100 ppb.

b) Type I error means falsely concluding that the average BPA level is greater than 100 ppb when it's not.

c) Type II error means failing to recall the soup or sue the company, despite the average BPA level being greater than 100 ppb.

d) Arguably, a Type II error is more serious as it can expose consumers to harmful BPA levels and undermine consumer protection efforts.

a) The null and alternative hypotheses for this situation can be stated as follows:

Null hypothesis (H0): The average level of BPA in tomato soup from this company is not greater than 100 ppb.

Alternative hypothesis (H1): The average level of BPA in tomato soup from this company is greater than 100 ppb.

b) In this situation, a Type I error refers to rejecting the null hypothesis when it is actually true. It means concluding that the average level of BPA in tomato soup from the company is greater than 100 ppb when, in reality, it is not.

c) A Type II error in this situation would be failing to reject the null hypothesis when it is actually false. It means failing to recall the soup or take legal action against the company, even though the average level of BPA in tomato soup is indeed greater than 100 ppb.

d) You could argue that a Type II error (failing to recall the soup and sue the company when the average BPA level is actually high) is more serious. It could potentially expose consumers to harmful levels of BPA and undermine the consumer protection agency's role in ensuring food safety.

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Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

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