5 Work out the mean for the data set below:
27002, 27003, 27002, 27003, 27003, 27005

Answer:

You gross monthly income is $8,750

Step-by-step explanation:

All you have to do is divide 105,000 by 12 months.

105,000 / 12 = 8,750

So, the answer is 8,750 dollars.

Hope this helps! :)

Answer:

9

Step-by-step explanation:

There are 45,697,600 different number of plates that can be issued using this configuration.

To determine the number of different license plates that can be issued using the given configuration, we need to consider the number of options for each component of the license plate.

1. Letters (first two letters): Each letter can be any uppercase letter of the alphabet.

There are 26 letters in the English alphabet, so there are 26 options for each letter.

Since we have two letters, the total number of options for the first two letters is 26 * 26 = 676.

2. Digits (two digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit.

Since we have two digits, the total number of options for the digits is 10 * 10 = 100.

3. Letters (last two letters): Similar to the first two letters, there are 26 options for each letter.

Therefore, the total number of options for the last two letters is also 26 * 26 = 676.

To find the total number of possible license plates, we multiply the number of options for each component:

Total number of license plates = (Number of options for letters) * (Number of options for digits) * (Number of options for letters)

Total number of license plates = 676 * 100 * 676

Total number of license plates = 45,697,600

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The values of x for which the series converges using  using interval notation is (-5, 13).

To find the values of x for which the given series converges, we need to apply the Ratio Test. The series is:

∑(n=0 to ∞) ((x - 4)^n) / (9^n)

Apply the Ratio Test
For the Ratio Test, we take the limit as n approaches infinity of the absolute value of the ratio of the (n+1)th term to the nth term:

lim (n→∞) |((x - 4)^(n+1) / 9^(n+1)) / ((x - 4)^n / 9^n)|

Simplify the expression
lim (n→∞) |(x - 4) / 9|

Determine the convergence condition
For the series to converge, the limit must be less than 1:

|(x - 4) / 9| < 1

Solve for x
We now solve for x by considering the cases when the expression is positive and negative:

Case 1: (x - 4) / 9 > -1
x - 4 > -9
x > -5

Case 2: (x - 4) / 9 < 1
x - 4 < 9
x < 13

Write the interval notation

Since x must satisfy both conditions, we write the answer using interval notation: (-5, 13)

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Using cross-multiplication, let's solve for x:

Answer:

$1.5

Each pen cost $1.5

To find the missing measures of a rectangle, we should know that all rectangles have four sides, and each side has a length.

If we have a quadrilateral like a rectangle with four angles, all the angles must be 90 degrees. We need to use the properties of rectangles to find the missing measures of a rectangle. We will find the length of each side first. The length of all sides of a rectangle should be the same. Then, we will calculate the area of the rectangle by multiplying the length of one side by the length of the other side.

Finally, to find the missing measures we will use the Pythagoras Theorem. The Pythagoras Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Using this theorem, we can find the length of the hypotenuse of the rectangle.

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The complete question is " If each quadrilateral is given, then define the steps to find the missing measures of a rectangle."

The first positive consecutive odd integer as 'x'. Since the consecutive odd integers are 2 units apart, the second consecutive odd integer can be represented as 'x + 2' using quadratic equation.

Let's assume the first consecutive odd integer as 'x'. Since they are consecutive, the second consecutive odd integer will be 'x + 2'.

According to the given information, the square of the first integer (\(x^{2}\)), added to 3 times the second integer (3 * (x + 2)), equals 24. Mathematically, this can be written as:

\(x^{2}\) + 3(x + 2) = 24

Expanding and simplifying the equation, we have:

\(x^{2}\) + 3x + 6 = 24

Rearranging the equation to standard quadratic form:

\(x^{2}\) + 3x + 6 - 24 = 0

\(x^{2}\) + 3x - 18 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the values of 'x' and 'x + 2', which will be the consecutive odd integers that satisfy the given condition.

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(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

Answer:

x=4

Hope this helps :D

Hello!

Answer:

x= 4

Step-by-step explanation:

−3x=8−4x−4

−3x=−4x+4

−3x+4x=4

x= 4

Hope this helps!

Answer:

Step-by-step explanation:

Answer 3700

Answer:

There will be 5 zeros

Step-by-step explanation:

because the amoutnt of tens there are is the amount of zeros there are.

hope this helps

Answer:

There will be 5 zeros in the product because there are 5 10's in 5 * 10 * 10 * 10 * 10 * 10

An easier way is to just count how many zeros there are in the whole number and add them to the end.

Step-by-step explanation:

The arithmetic mean is 59.

What is arithmetic mean?

It is the sum of collection of numbers divided by the count of the numbers.

Conider AB is the nuber satisfying the condition. Hence,

\(10A+B=A+B+A\times B\\9A=A\times B\\\)

Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).

\(9=B\)

Hence, B is 9 and A can take any value from 1 to 9.

Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.

Now, calculate arithmetic mean as follows:

\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)

Hence, arithmetic mean of numbers is 59.

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Answer:

A.

Step-by-step explanation:

The answer is B.

Each pack costs 2.50, so this means we can add all of our packs brought together, before multiplying. (2+4+3)=7. So our final equation should be 7 x 2.50 ,therefore B is our correct answer.

Hope this helps. & don't forget to drink water !!

Answer: $24.08

Step-by-step explanation: 25% off $35.00 is $22.50

and adding 7% tax which equals $1.50

so it adds up to 24.08

Answer:

The answer should be around 28 or 25

Step-by-step explanation:

math

The probability that a woman has a malignant tumor in her breast is 7.5%. ie 75

Let  + = mammogram result is positive

B = tumor is benign

M = tumor is malignant.

Note that Bc = M.

given that P(M) = .01,

so P(B) = 1 − P(M) = 0.99.

We are also given the conditional probabilities

P(+ | M) = .80 and

P(− | B) = .90, where the event − is the complement of +

P(+ | B) = .10

Bayes’ formula:-

P(M | +) = P(+ | M) P(M) / (P(+ | M)P(M) + P(+ | B)P(B))

= 0.80 × 0.01 / (0.80 × 0.01 + 0.10 × 0.99)

=0.075

So the chance would be 7.5%. ie 75

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Answer:

d

Step-by-step explanation:

up six and to the left 5. going left is nevative so its negative 6 over 5

Answer:

Step-by-step explanation:

728182×+b282=288282b

we will interchange the x coordinates and the y coordinates.

Explanation:

To transform a function to reflect over the line y = x, the x axis and y axis switch places.

For example, if we reflect the point (2, 3) over the line y = x

the x-coordinate and y-coordinate change places:

It becomes: (3, 2)

Since transforming a function to reflect over the line y = x is the same as transforming a function to reflect it over the line x = y.

So, (x, y) becomes (y, x)

We can conclude that, to transform a function to reflect it over the line x = y, we will interchange the x coordinates and the y coordinates.

The required answer would be 3.7×10¹⁰ which is written in the form of scientific notation.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that expression as:

⇒ (7×10⁹)(5.3×10²)

⇒ 7×5.3 ×10⁹×10²

We have to add exponents of tens and apply the multiplication operation between 7 and 5.3,

⇒ 37 ×10⁹⁺²

⇒ 3.7×10⁻¹ ×10¹¹

⇒ 3.7×10¹⁰

Hence, the required answer is 3.7×10¹⁰ which is expressed in scientific notation.

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Answer:

That's it

First, find 2 points by replacing x with a number to find y. After, locate the point in the graph then draw the slope.

The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).

Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.

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Complete question:

See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.

a) boxplot C

b) boxplot B

c) boxplot A

Answer:

3.

Step-by-step explanation:

Factor: 5

Composite Number: 2

Prime Number: 6

Operation: 8

Integers: 3

Negative Number: 4

Positive Number: 7

Expression: 1

The Root Cause Analysis technique used to identify the underlying causes of a problem is the Ishikawa diagram. It is a graphical tool also known as the Fishbone diagram or Cause and Effect diagram. The other techniques mentioned, such as the Rule of 72, Marginal Analysis, and Bayesian Thinking, are not specifically associated with Root Cause Analysis.

Root Cause Analysis is a systematic approach used to identify the fundamental reasons or factors that contribute to a problem or an undesirable outcome. It aims to go beyond addressing symptoms and focuses on understanding and resolving the root causes. The Ishikawa diagram is a commonly used technique in Root Cause Analysis. It visually displays the potential causes of a problem by organizing them into different categories, such as people, process, equipment, materials, and environment. This diagram helps to identify possible causes and facilitates the investigation of relationships between different factors. On the other hand, the Rule of 72 is a mathematical formula used to estimate the doubling time or the time it takes for an investment or value to double based on compound interest. Marginal Analysis is an economic concept that involves examining the additional costs and benefits associated with producing or consuming one more unit of a good or service. Bayesian Thinking is a statistical approach that combines prior knowledge or beliefs with observed data to update and refine probability estimates. In the context of Root Cause Analysis, the Ishikawa diagram is the technique commonly used to visually analyze and identify the root causes of a problem.

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The average rate of change between the PVC (x=0) and point 1000 is 0.03.

What is average?

The average of a function is defined as the sum of all the terms that are present in the function divided by the total number of terms in the function.

Here the function is \(f(x)=-0.00002x^{2} +0.05x+1600\)

To find the rate of the function differentiate it with respect to x

\(f('x)=-0.00004x+0.05\)

Now put the value x = 0

\(f('0)=0.05 (i\)

Now, put x = 1000

\(f('1000)=-0.04+0.05=0.01 (ii\)

Now, the average of the PVC at x= 0 and the x=1000

Average is \(\frac{0.05+0.01}{2}\\ \frac{0.06}{2}=0.03\)

Hence, the average rate change is 0.03.

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Answer:

square root of 75, using Pythagorean theorem.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 212123s\

∑ Hey, microhiezv ⊃

Answer:

y = 26/3

Step-by-step explanation:

Given:

\(\frac{1}{4}\left(3y+2\right)=7\)

Solution~:

\(4\cdot \frac{1}{4}\left(3y+2\right)=7\cdot \:4\)                              - [ Multiply both sides by 4]

  \(3y+2=28\)                                       - [ Simplify]

\(3y+2-2=28-2\)                            - [ Subtracting 2 from both sides]

\(3y=26\)                                               - [ Simplify]

\(\frac{3y}{3}=\frac{26}{3}\)                                                 - [ Divide both sides by 3]

\(y=\frac{26}{3}\)

xcookiex12

8/22/2022

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

2 units

Step-by-step explanation:

From one crest (high point) to the next crest  point is one period....

  this covers 2 units on this graph

The line's equation is y=3x-4.

What is Equation of line?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation where the slope of line is m and b is the y- intercept. The slope is defined as

m = (y-y1)/(x-x1)

Given:

For two lines to be perpendicular to each other, they must have slopes that are negative reciprocals of each other (i.e. the negative reciprocal of n is -1/n). The slope of the given line is –1/3 which means the slope of a line perpendicular to it would be 3.

From the given slope equation of the line

y=3x+b,

where b is the y-intercept. Since we know the line passes through the point (2,2).

(y-2)/(x-2) = 3

y-2 = 3*(x-2)

y=3x-6+2

y=3x-4

The value of b = -4

Therefore, the equation of the second line is y=3x-4.

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