100 points please help

The plot may reveal that most students studied for 2-3 hours per day, with a few outliers who studied much more or less

The line plot is a visual representation of the data showing the number of hours a group of students spent studying per day. It presents a series of data points on a number line, with each point representing the number of hours studied by an individual student.

The data can be used to analyze the study habits of the group and determine trends in their behavior. For example, .

The line plot can be helpful in identifying areas where students may need additional support or encouragement to improve their study habits and achieve academic success.

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Answer: = 7 i believe

Step-by-step explanation:

2^3 (2 power by 3) x - 1 for 1 which is 7

The probability that the largest number drawn is less than or equal to 9 is approximately 0.9936.

(a) The probability that 9 is the largest number drawn is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or (9 choose 5) / (14 choose 5).

(b) The probability that the largest number drawn is less than or equal to 9 is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or the sum of (i) (9 choose 5) / (14 choose 5) and (ii) (8 choose 5) / (14 choose 5) and (iii) ... (5 choose 5) / (14 choose 5).

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To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

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Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.

The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.

In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.

For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.

By the question.

We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.

Using the formula for the size of the Cartesian product, we have:

n (Ax B) = n(A) x n(B)

Substituting the given values, we get: 72 = 24 x n(B)

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Answer:

7/6 , 5/3 , 1.5 , 2.2 , 2 3/4 , 3 2/3

Answer:

7/6, 1.5, 5/3, 2.2, 2 3/4, 3 2/3.

Step-by-step explanation:

Convert all the fractions to decimals.  

7/6  = 1.167 or 1.2 rounded.

5/3 =  1.67 or 1.7 rounded.

2 3/4 = 2.75

3 2/3 = 3.67 or 3.7 rounded.

Therefore, giving you all the following decimals:

2.2, 2.75, 1.5, 1.7, 1.2, 3.67

Order them:

1.2, 1.5, 1.7, 2.2, 2.75, 3.67

Finally change the fractions you converted to decimals back into fractions to get your final answer of:

7/6, 1.5, 5/3, 2.2, 2 3/4, 3 2/3

I hope this helps you!

For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.

Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.

The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.

Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis

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The total area of the regions between the curves is 8 square units

From the question, we have the following parameters that can be used in our computation:

y = 6x² - 9x and y = 3x

With the use of graphs, the curves intersect ar

x = 0 and x = 2

So, the area of the regions between the curves is

Area = ∫6x² - 9x - 3x

This gives

Area = ∫6x² - 12x

Integrate

Area =  2(x - 3)x²

Recall that x = 0 and x = 2

So, we have

Area =  2(0 - 3) * 0² - 2(2 - 3) * 2²

Evaluate

Area =  8

Hence, the total area of the regions between the curves is 8 square units

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Answer:

0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

\(\huge\text{Hey there!}\)

\(\mathsf{16(d + 1) = 16}\)

\(\mathsf{16(d) + (1) = 16}\)

\(\mathsf{16d + 16 = 16}\)

\(\large\text{Subtract 16 to both sides}\)

\(\mathsf{16d + 16 - 16 = 16 - 16}\)

\(\large\text{Simplify it}\)

\(\mathsf{16d = 16 - 16}\)

\(\mathsf{16d = 0}\)

\(\large\text{Divide 16 to both sides}\)

\(\mathsf{\dfrac{6d}{6} = \dfrac{0}{16}}\)

\(\large\text{Simplify it}\)

\(\mathsf{d = \dfrac{0}{16}}\)

\(\mathsf{d = 0}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf0}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

To find out what percent 567 is of 448, we can use the following formula:

What does math mean by percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

percent = (part / whole) x 100

where "part" is the value we are trying to find the percentage of (in this case, 567), "whole" is the total value (in this case, 448), and "percent" is the final answer.

So, we can plug in the values and get:

percent = (567 / 448) x 100

To get the percentage we need to multiply the fraction by 100

percent = 126.58%

So 567 is 126.58% of 448.

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The first four partial sums are:

s1 = -6, s2 = 0, s3 = -6, s4 = 0. Compute the first four partial sums for the series with the nth term a_n = (-1)^n * 6, we can substitute the values of n from 1 to 4 and sum up the terms.

In a series, the partial sums are the sums of a certain number of terms in the series, starting from the first term. To compute the partial sums, we add up the terms of the series up to a specified number of terms.

For this particular series, the nth term a_n is given by (-1)^n * 6. This means that each term alternates between positive and negative, with a magnitude of 6.

s1 = a1 = (-1)^1 * 6 = -6

s2 = a1 + a2 = (-1)^1 * 6 + (-1)^2 * 6 = -6 + 6 = 0

s3 = a1 + a2 + a3 = (-1)^1 * 6 + (-1)^2 * 6 + (-1)^3 * 6 = -6 + 6 - 6 = -6

s4 = a1 + a2 + a3 + a4 = (-1)^1 * 6 + (-1)^2 * 6 + (-1)^3 * 6 + (-1)^4 * 6 = -6 + 6 - 6 + 6 = 0

Therefore, the first four partial sums are:

s1 = -6

s2 = 0

s3 = -6

s4 = 0

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Answer:um  how to do this one

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.

How do you find the probability of success for each trial?

What is the probability formula?

Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.

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Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

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Answer:

x > -7

-7x > 49

Multiply both sides by (-1) (Reverse inequality)

(-7x) (-1) < 49 (-1)

Simplify

7x < -49

Divide both sides by 7

7x/7 < -49/7

Simplify = x > -7

Step-by-step explanation:

the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

we see

x changes by +16 (from -6 to 10). as per 10 - -6 = 16.

y changes by 4 - w.

the slope is 1/8.

1/8 = (4 - w)/16 | multiply both sides by 16

2 = 4 - w

w = 4 - 2 = 2

so, the point is (-6, 2).

Answer:

(a) The inequality that represents the sentence "A number is not more than 21" is "n ≤ 21". This inequality uses the less than or equal to operator (≤) to indicate that the number is not greater than 21.

(b) The inequality that represents the sentence "A number is at least 5" is "n ≥ 5". This inequality uses the greater than or equal to operator (≥) to indicate that the number is 5 or greater.

(c) The inequality that represents the sentence "A number is more than 3/.5" is "n > 3/.5". This inequality uses the greater than operator (>) to indicate that the number is greater than 3/.5.

Answer:

she will need 130 inches lf metal

Step-by-step explanation:

One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

86.2 in squared

Step-by-step explanation:

Harons formula

Answer:

93.7

Step-by-step explanation:

Answer:

c. x - 2/3

Step-by-step explanation:

The given equation is f(x) = \(3x^4 - 5x^3 - 71 x^2 + 157x + 60\)

To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.

For x - 3, x = 3

Substituting x = 3 into the given polynomial:

\(f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0\)

x - 3 is a factor

For x - 4, x = 4

Substituting x = 4 into the given polynomial:

\(f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0\)

x - 4 is a factor

For x - 2/3, x = 2/3

Substituting x = 2/3 into the given polynomial:

\(f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22\)

x - 2/3 is  not a factor

For x + 1/3, x = -1/3

Substituting x = -1/3 into the given polynomial:

\(f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0\)

x + 1/3 is  a factor

Answer:

4x^2 + x + 3

Step-by-step explanation:

Here, we want to find the sum of the two polynomials

That would be ;

3x^2 + x-7 and x^2 + 10

Adding means we are taking like terms together

That would be

3x^2 + x ^2 + x -7 + 10

= 4x^2 + x + 3

Answer:

It's D

Step-by-step explanation:

Answer:

The investment firm's total profit is $4,000

Step-by-step explanation:

The Profit from Company A = 11% * $8,000

= 11 * $8,000/100

= $880

The Profit from Company B = 13% * $24,000

= 13 * $24,000/100

= $3,120

The total profit = $880 + $3120

= $4,000

Thus, the investment firm's total profit is $4,000

Answer:

Solution

Selling price(SP)=$295000

profit percent=18%

Cost price(CP)=?

Now,

\(cp = \frac{sp \times 100}{100 + profit \: percent} \\ \: \: \: \: = \frac{295000 \times 100}{100 + 18} \\ = \frac{29500000}{118} \\ = 250000\)

hope this helps...

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