As part of a science experiment, a student recorded 10 measurements of the temperature of a liquid. One of the measurements was an outlier when compared with the other 9 measurements. Which of the following must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements? (Note: An outlier is any number that is greater than the upper quartile or less than the lower quartile by at least 1.5 times the interquartile range.) (A) The median of the 9 measurements is less than the median of the 10 measurements. (B) The median of the 9 measurements is greater than the median of the 10 measurements. (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements. (D) The maximum of the 9 measurements is greater than the maximum of the 10 measurements. (E) The standard deviation of the 9 measurements is less than the standard deviation of the 10 measurements.

The probability that a randomly selected hotel general manager makes more than $66,000 can be calculated using the standard normal distribution. We need to calculate the z-score for the value $66,000 using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean salary, and σ is the standard deviation. Assuming a normal distribution with a mean salary of $60,000 and a standard deviation of $8,000, we get z = (66,000 - 60,000) / 8,000 = 0.75. Using the standard normal distribution table, the probability of finding a z-score of 0.75 or more is approximately 0.2266.

The z-score is a measure of how many standard deviations a value is from the mean. In this case, a z-score of 0.75 means that the value $66,000 is 0.75 standard deviations above the mean salary of $60,000. The standard normal distribution table provides the probabilities for different values of z-score. To find the probability of a value greater than $66,000, we need to find the area under the standard normal distribution curve to the right of the z-score of 0.75.

The probability that a randomly selected hotel general manager makes more than $66,000 is approximately 0.2266 or 22.66%. This means that out of 100 randomly selected hotel general managers, we would expect 22 to have a salary greater than $66,000.

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Answer: reflection over x-axis, 3 units up

Step-by-step explanation:

The decimal representation of binary number is r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

To convert r to decimal representation, we need to use the following formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

In this formula, represents the i-th bit of the binary representation of r, and the exponent represents the place value of that bit. The rightmost bit, or the one with the smallest exponent, has a place value of 2⁰, while the leftmost bit, or the one with the largest exponent, has a place value of  2⁶³

Let's say we have the binary representation 1101. To convert this to decimal, we would use the formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³

Simplifying this equation, we get:

r = 1 + 0 + 4 + 8

r = 13

So, the decimal representation of the binary number 1101 is 13.

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Complete Question:

Write the number r in decimal representation if the 64-bit binary representation of r by using the Boolean expressions.

If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.

The given statement is false because Primary data collection is a process of collecting original data, directly from the source.

Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

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Answer:

3/5 carrot juice for 1 cup apple juice and 2 cups of fruit juice

Have a great day

We have shown that y = (441 + x^2) / 42 based on the properties of similar triangles.

To determine the value of y in terms of x, we will use the properties of similar triangles.

In triangle CDE, we can see that triangle CDE is similar to triangle CAB. This is because angle CDE and angle CAB are both right angles, and angle CED and angle CAB are congruent due to the folding process.

Let's denote the length of AC as y cm and ED as x cm.

Since triangle CDE is similar to triangle CAB, we can set up the following proportion:

CD/AC = CE/AB

CD is equal to the length of the A4-size paper, which is 29.7 cm, and AB is the width of the paper, which is 21 cm.

So we have:

29.7/y = x/21

Cross-multiplying:

29.7 * 21 = y * x

623.7 = y * x

Dividing both sides of the equation by y:

623.7/y = y * x / y

623.7/y = x

Now, to express y in terms of x, we rearrange the equation:

y = 623.7 / x

Simplifying further:

y = (441 + 182.7) / x

y = (441 + x^2) / x

y = (441 + x^2) / 42

Therefore, we have shown that y = (441 + x^2) / 42 based on the properties of similar triangles.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

15%

Step-by-step explanation:

number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%

Answer:

(-1.7,1.7)

Step-by-step explanation:

OK, first draw the line y=4.

It's a bit misleading- where you think 4 should go is actually 2!

Check the scale and draw down where the two points meet on the line. They should be the same.

You get -1.7 and 1.7

The value of x is \(x=\pm\sqrt{3}\)

The given function is;

                        \(y=x^{2} +1\)

We have to find value of x when \(y=4\)

               \(y=x^{2} +1\\\\4=x^{2} +1\\\\x^{2} =4-1=3\\\\x=\pm\sqrt{3}\)

Graph is also attached below.

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Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

Answer:

Ans is in attachment

hope it helps :)

plz mark as brainliest

Step-by-step explanation:

Given parameters:

Length = 120yards

Width  = 85yards

Unknown:

Length and width of another rectangular field with the same perimeter but a larger area = ?

Solution:

The key to solving this problem is to known that for any given length and width, the area of square is the greatest.

  Length = 120yards     New length  = 100yards

 Width  = 85yards         New width = 105yards

Now,

 Area of the new dimension  = 105 x 100  = 10500yd²

Among the following statements, the one that best describes a probability distribution is: A list of the outcomes of a random experiment and the probability of each outcome.

A probability distribution is a list of the possible outcomes of a random experiment and the probability of each outcome. It provides a complete description of the possible outcomes and their associated probabilities for an experiment. Probability distributions are used to calculate the likelihood of specific events occurring and to determine the expected value of a random variable.

It lists all possible outcomes of a random experiment and assigns a probability to each outcome. The probabilities assigned to each outcome must add up to 1.

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Answer:

x = 63°

it is an isosceles triangle, so K and M are equal

Step-by-step explanation:

let K be x, since K=M means both equals x

x + x + 54° = 180°

2x + 54° = 180°

2x = 180° minus 54°

2x = 126°

x = 63°

to prove

63° + 63° + 54° = 180°

peace

To find the alternating series error bound, we need to use the formula: |Error| ≤ |Next Term|, The next term in the series is (-1)^4+1 * 1/(4*4) = 1/16.



So the error bound is:

|Error| ≤ 1/16

Now we need to find which of the answer choices is less than or equal to 1/16.

Checking each one:

a. 3/23 > 1/16
b. 5/32 = 0.15625 ≤ 1/16
c. 1/4 > 1/16
d. 3/8 > 1/16

Therefore, the answer is b. 5/32.
Hi! To answer your question, let's first define the terms "partial sum" and "convergent series":

- A partial sum is the sum of a finite number of terms in a sequence or series.
- A convergent series is a series whose sum approaches a finite limit as the number of terms increases.

Now, for the given convergent series ∑n=3 to ∞ (−1)^(n+1) * (2n), we're asked to approximate its value using a partial sum with three terms. This means we need to find the sum from n=3 to n=5:

S_3 = (−1)^4 * (2*3) + (−1)^5 * (2*4) + (−1)^6 * (2*5)
S_3 = 6 - 8 + 10

To find the alternating series error bound, we use the next term in the series, n=6:

Error bound = |a_(n+1)| = |(−1)^7 * (2*6)| = |−12|

Now, let's find the correct answer from the options provided:

a. 3/2
b. 5/32
c. 1/4
d. 3/8

None of these options match our calculated error bound of |-12|. Please double-check the options or provide additional context to clarify the question.

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Answer:

Sum = 795

Step-by-step explanation:

an = a + (n - 1)*d

16th Term

a_16 = a + (16 - 1) * d

a_16 = a + 15 * d

53 = a + 15 d

==============

a_20 = a + 19*d

65 = a + 19d

53 = a + 15d           Subtract

===========

12 = 4d                   Divide by 4

3 = d

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

53 = a + 15d

53 = a + 15*3

53 = a + 45

a = 53 - 45

a = 8

The first odd term in the sequence is 8 + 3 = 11

The next term is 11 + 3 = 14

The third term is 17

So the difference is 17 - 11 = 6

The last term is

L = a + (n - 1)*6

L = 11 + (n - 1)*6

I think we have to guess at what the last term is. Let n = 10

L = 11 + 9*6    It's not large enough

Try 15

L = 11 + 14*6

L = 11 + 84

L = 95         That's correct. The last term in the sequence is 95

So  

The sum is

Sum = (a + L)*n/2

n = 15

Sum = (11 + 95)*15/2

Sum = (106)*15/2

Sum = 53*15/2

Sum = 795

The measure of the angle at which the poles meet at the top of the tepee is 180 degrees

Complementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.

The two poles meet at the top of the tepee.

The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,

Complement of the angles that the poles form on the ground = 90°

Then the measure of the angle at which the poles meet at the top of the tepee is as follows:

Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees

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A = $125.73

I = A - P = $49.30

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 21.5%/100 = 0.215 per year.

Solving our equation:

A = 76.43(1 + (0.215 × 3)) = 125.72735

A = $125.73

The total amount accrued, principal plus interest, from simple interest on a principal of $76.43 at a rate of 21.5% per year for 3 years is $125.73.

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

hope i helped in some way! keep pushing you got this

To find the asymptotes of a graph, first determine the type of asymptote (horizontal, vertical, or slant) and identify the conditions that must be satisfied. Then, set the numerator or denominator equal to zero and solve for y or x, or divide the numerator by the denominator and find the equation of the line that the graph approaches as x approaches infinity.

To find the asymptotes of a graph, you can follow these steps:

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Bryce worked a total of 53 3/8 hours during the week.

To calculate the total number of hours Bryce worked for the week, we need to add up the hours worked on each individual day.

On Monday, Bryce worked 8 hours. On Tuesday, Bryce worked 4 14 hours, which is equivalent to 4 * 24 + 14 = 110 hours. On Wednesday, Bryce worked 6 1/8 hours, which is equivalent to 6 + 1/8 = 49/8 hours. On Thursday, Bryce worked 7 14 hours, which is equivalent to 7 * 24 + 14 = 182 hours. Finally, on Friday, Bryce worked 8 18 hours, which is equivalent to 8 * 24 + 18 = 210 hours.

To find the total number of hours Bryce worked for the week, we add up the hours worked on each day: 8 + 110 + 49/8 + 182 + 210 = 53 3/8 hours.

Therefore, Bryce worked a total of 53 3/8 hours during the week.

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Answer:

gcf is 5x

Step-by-step explanation:

of the coefficients - 25, 15 and 30 - the greatest common factor is 5

each of the three terms - 25a²bx, 15b²cx³, and 30ab³cx² - has only one shared variable, which is 'x'

therefore, the gcf is 5x

Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

Width = area / length

Width = 40 / 8 = 5

Width = 5cm

The equation to represent the production cost in terms of m, x and q is: y = mx + q

Given that the product cost, represented by y, of a Bluetooth device is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting.

The expenses incurred during the process of producing goods or services are referred to as production costs. It includes all of the expenses related to getting labour, equipment, utilities, raw materials, and other inputs needed for producing or delivering a product.

In addition to indirect costs like overhead expenses, rent, and administrative fees, these costs also include direct costs that are directly related to the production process, such as supplies and labour. Businesses must accurately calculate and manage production costs in order to set prices, assess profitability, and make wise choices about production techniques and resource allocation. Operations may be optimised, efficiency can be raised, and profits can be increased.

The equation to represent the production cost in terms of m, x and q is: y = mx + q

Where,y represents the product cost of a Bluetooth devicem represents the labor cost per devicex represents the number of devices producedand q represents the constant equipment renting cost.

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Marianne's total candle sales for the week rounded to the nearest

cent is $6539.13.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information, Let Marianne's total sale be $'x'.

Therefore, $376 is 5.75% of 'x'. which can be numerically expressed as,

(5.75/100)×x = 376.

0.0575x = 376.

x = $6539.13

We also know to obtain percentage change we'll diving the net amount change by the original amount and multiply it by 100%.

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Answer:

Please find attached the required graph

Step-by-step explanation:

The given equation of the linear function is p(x) = 4·x

Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;

The slope, m = 4, and the y-intercept c = 0

Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1

However, in order to  graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values  using Microsoft Excel as follows;

x            \({}\)                p(x)

0            \({}\)                0

1            \({}\)                 4

2            \({}\)                8

3            \({}\)                12

4            \({}\)                16

5            \({}\)                20

6            \({}\)                24

7            \({}\)                28

8            \({}\)                32

9            \({}\)                36

10            \({}\)                40

11            \({}\)                44

12            \({}\)                48

13            \({}\)                52

14            \({}\)                56

15            \({}\)                60

16            \({}\)                64

From which the required graph is constructed using the insert function in Microsoft Excel

The most common denominator for them is the LCM which is 21

Now

2/7 = 2/7×3/3

= 6/21

Therefore 6/21 and 10/21

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Answer:

I know the type of math your doing

Step-by-step explanation:

just download connects its f0r khan academy it will help you on it I have it and it works good