There are 38 pencils in the drawer. Sam took 24
pencils from the drawer. How many pencils are now in the drawer ?

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

The location of Café 103 is (4.5, 4)

The given parameters are

From the question, we understand that:

Café 103 is collinear with and halfway between the Metrics School and the Angles Lab.

This means that Café 103 is at the midpoint

So, we have:

Café 103 = 0.5 * (x1 + x2, y1 + y2)

This gives

Café 103 = 0.5 * (2+ 7, 6 + 2)

Evaluate

Café 103 = (4.5, 4)

Hence, the location of Café 103 is (4.5, 4)

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According to the given information the mean(MAD) of the data is = 16.

The mean is the average of a set of variables in mathematics and statistics. The mean can be calculated in a variety of ways, such as the simple arithmetic mean (add the numbers and divide the sum by the number of observations), geometric mean, and harmonic mean.

(13 ,14 ,14, 16, 16, 16, 16, 18, 18, 19)

adding the numbers together.

(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 18 + 19)

= 160.

Then divide it by the amount of numbers. Which is ten.

160 divided by 10 = 16.

—MAD—

Subtract each value from the mean.

(|13-16| + |14-16| + |14-16| + |16-16| + |16-16| +|16-16| + |16-16| + |18-16| + |18-16| + |19-16|)

Negative numbers are unimportant; everything should be positive.

(3 + 2 + 2 + 0 + 0 + 0 + 0 + 2 + 2 + 3)

= 16.

16 divided by 16 (amount of numbers).

MAD = 1

–IQR—

Separate both sides in half.

(|13 14 14 16 16| ,|16 16 18 18 19|)

Take the middle value of each group.

Group1.

|13 14 (14) 16 16|

This one is 14.

Group 2:

|16 16 (18) 18 19|

This one is 18.

Subtract (number from group 2) 18 from (number from group 1) 14.

18 - 14 = 4

IQR = 4.

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Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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By isolating the variable, we will see that the solution of the linear equation is v = -9

Here we have the following linear equation:

v/9 - 7 = -8

Where we can see that the variable is v. To solve this, we need to perform operations in both sides of the linear equation in a way such that the variable is isolated in one of the sides.

Adding 7 in both sides we get:

v/9 - 7 + 7 = -8 + 7

v/9 = -1

Now we multiply both sides by 9:

(v/9)*9 = -1*9 = -9

v = -9

We conclude that the solution of the linear equation is v = -9.

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Answer: 6√6

Step-by-step explanation:

√216=

√(36*6)=6√6

It is a independent event. The probability is 6/25.

An independent event is an event whose occurrence are random event. There is no relationship between picking a yellow highlighter and then a green highlighter.

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability of  picking a yellow highlighter and then a green highlighter = (number of yellow highlighters / total number of highlighters) x = (number of green highlighters / total number of highlighters)

(12 / 20) x (8 /20) = 6/25

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Answer:

Step-by-step explanation:

False, the left side is not equal to the right side

Answer:

-15+13i

Step-by-step explanation:

Distribute the negative to get (-10+6i)

Combine both parenthesis and the answer is -5-10=-15 and 7i+6i=13i

Final answer is -15+13i

A histogram is a graph that shows the frequency of numerical data using rectangles.

A set of quantitative data with varying values may be shown as a list or a data display.

Center and spread are ways to describe data sets like this.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

The mean is useful for describing the center of data with similar values.

The mean is the average value.

mean = sum of values / number of values

A histogram is a graph that shows the frequency of numerical data using rectangles.

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2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.

So, if n bits are given then 2ⁿ integers can be represented.

And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.

Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.

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In a standard normal distribution the probability of z being less than or equal zero is 0.5.

The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.

Some key features regarding the standard normal distribution are-

Now, as per the given question;

The mean of a standard normal distribution is 0.

Because this distribution is symmetric, the median is also equal to 0.

So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5

Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.

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The value of x is 81 .  double x = 5 4 * 3 / 2 .

What is a linear equation?

     x = 54 * 3/2

      x  = 27 * 3

     x = 81

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Answer:

2...?

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2.2*3.4=-7.48

4.2/-6=-0.7

-18/5+3/10=-3.3

-11/4-19/6=-5.91

draw a real number line, sign these on the line, you can see the order

A : all real numbers

Answer:

A. All real numbers.

Step-by-step explanation:

The two situations are:

Situation 1: Test Scores in Two Classes

Suppose we have two classes, Class A and Class B, taking the same exam with the same difficulty level.

The students in Class A are known to have a consistent level of performance, with most students scoring around the class average. The students in Class B, on the other hand, have a wider range of performance, with some students performing significantly better or worse than the class average.

In this situation, both classes are taking the same exam, so the central tendency (mean) of the test scores in Class A and Class B might be similar. However, the variability (spread) of the test scores in Class B is higher due to the wider range of performance among the students.

Situation 2: Monthly Rainfall in Two Cities

Consider two cities, City X and City Y, located in the same region. They experience a similar climate and weather patterns.

Over the course of a year, both cities receive roughly the same amount of rainfall on average. However, City X experiences more consistent monthly rainfall, with each month receiving rainfall close to the yearly average. In contrast, City Y has more variable monthly rainfall, with some months experiencing much higher or lower rainfall than the yearly average.

In this situation, the central tendency (mean) of the monthly rainfall in both cities will be similar since they receive the same average rainfall over the year.

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Answer:

28.028 cents per ounce
= 28.03 cents per ounce rounded to 2 decimal places
= 28.0 cents per ounce rounded to 1 decimal place
= 28 cents per ounce rounded to nearest cent

Step-by-step explanation:

[tex]\texttt{{Unit Price} = \ensuremath{\dfrac{\texttt{Total Price}}{\texttt{Quantity}}} }[/tex]

Here
Total Price = $3.98
Quantity = 14.2 ounce

[tex]\texttt{{Unit\;Price}\;=\;\ensuremath{\dfrac{\texttt{\$3.98}}{\texttt{14.2 oz}}} }[/tex]

Convert dollars in the numerator to cents for easier calculation

Since one dollar = 100 cents.
$3.98 = 3.98 x 100 = 398¢

Divide 398 by 14.2 to get
[tex]\ensuremath{\dfrac{\texttt{398}}{\texttt{14.2}}} } = \texttt{28.028 cents per ounce}[/tex]

which, you can round off as necessary
Rounding to 2 decimal places it becomes 28.03 cents per ounce
Rounding to 1 decimal place it becomes 28.0 cents per ounce
Rounding to nearest cent it becomes 28 cents per ounce

Answer:

Whats 'new'?

Step-by-step explanation:

It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.

Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.

Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.

Machine A finishes the job in 12 minutes.

Machine B finishes the job in 18 minutes.

When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.

Using Rule #2, the time required to complete the entire job = 36/5 minutes.

Therefore, 36/5 minutes or 7.2 minutes is the correct answer.

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Answer:

30 years old

Step-by-step explanation:

5x = x + 2(12)

5x = x + 24

4x = 24

x = 6

5(x)

5(6) = 30

Answer:

8 3/4 is a mixed number

Step-by-step explanation:

I don know how to explain

Answer:

just put out + from the question.

After d days the total number of lily in the ponds are . It is an simple example of geometric progression.

The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.

Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.

Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.

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Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of mean parenthesis.

And so 9 would be outside the parenthesis, then 9b and 2 would be inside.

The dimensions of the fence that will maximize the area are-

Multiply the width by the height of a rectangle to find its area. If we know the lengths of two sides of a rectangle, we can calculate the height and width.

Now, as per the question;

Let 'L'  be the length and,

'W' width of the rectangular

Also, let the river is running along L.

Perimeter to be covered by fence:

P = L + 2W

2700 = L + 2W

Thus, L= 2700 - 2W

Substitute the value of L in the area

Area, A= LW

A = (2700 - 2W)W

A = 2700W - 2W²

This is a quadratic equation;

Now, the vertex of the rectangular with the greatest area will have the greatest width.

(W,A), where W= -b/2a where b = 2700 and a = -2

Solve for W,

W = -2700/2×(-2)

   = -2700/-4

W = 675 ft.

Substitute the value of W in L to find it.

L= 2700 - 2W

 = 2700 - 2×675

L = 1350 ft

Thus, the maximum area will become;

Maximum area A = 1350 × 675

Maximum area A = 911250 sq. ft

Therefore, the maximum area is found to be 911250 sq. ft

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The complete question is-

A farmer has 2700 feet of fencing available to enclose a rectangular area bordering a river. if no fencing is required along the​ river, find the dimensions of the fence that will maximize the area. what is the maximum​ area

The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825

Given that equation  [tex]\frac{16x+12}{2}=100[/tex]  and asked to evaluate the value of x in the given equation

⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=[tex]\frac{94}{8}[/tex](using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825

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