The line plot shows the distances ten students walk to school. What is the difference between the longest distance a student walks and the shortest distance a student walks?

The answer of the question based on the volume of  prism is given below, the volume of the prism is 48 cubic units.

The Pythagorean Theorem is fundamental theorem in mathematics that relates to three sides of  right-angled triangle. It states that in any right-angled triangle,  square of length of the hypotenuse (the longest side) is equal to sum of  squares of  lengths of other two sides.

we know that the area of the base is given by:

Area of base = (1/2) * base * height

where base = 4 and height = 3 (using the Pythagorean Theorem).

Therefore, Area of base = (1/2) * 4 * 3 = 6 square units.

The height of the prism is given as 8 units.

Hence, the volume of the prism is given by:

Volume = Area of base * height

= 6 * 8

= 48 cubic units.

Therefore, the volume of the prism is 48 cubic units.

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Reason:

The point X is located at (2,1)

We'll apply the scale factor to quadruple each coordinate to get (8,4)

Then apply the translation rule to shift 3 units left and 1 unit up.

[tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+1)\\\\(8,4)\to(8-3,4+1)\\\\(8,4)\to(5,5)\\\\[/tex]

Answer:

I think its C

Step-by-step explanation:

Answer:32

Step-by-step explanation:

The manager's claim that fewer than 750 damaged computer displays are produced daily is accurate, thus yes. A hypothesis theory can help us with this.

We need to conduct a hypothesis test to establish whether the manager's assertion is likely to be accurate. The null hypothesis, labelled H0, is that the fraction of damaged computer displays manufactured each day is 750/10,000 = 0.075. The proportion being less than 0.075 is the alternative hypothesis, labelled Ha.

The test statistic, which gauges how far the sample proportion deviates from the null hypothesis proportion assuming the null hypothesis is true, can be calculated using the sample data. Here is how the test statistic is computed:

p is the sample proportion of faulty, and z = (p - p0) / (p0(1-p0)/n) computer monitors, n is the sample size, and p0 is the null hypothesis proportion.

In this instance, n = 290, p = 9/290 = 0.031, and p0 = 0.075.

These variables are plugged in, and the result is: z = (0.031 - 0.075) / (0.075(1-0.075)/290) -4.50

The test statistic reveals how far the sample percentage deviates from the null hypothesis proportion by how many standard deviations. The test statistic's absolute value should be higher if there is more evidence arguing against the null hypothesis.

The likelihood of seeing a test statistic that is as extreme or more extreme than the one we computed assuming the null hypothesis is true is known as the p-value, and it may be determined using a conventional normal distribution. As the alternative hypothesis in this situation is that, we are interested in the left tail of the distribution. The proportion is lower than the proportion under the null hypothesis.

The p-value, which can be calculated or calculated using statistical tools, is about 0.000003. Due to the extremely low p-value, it is extremely unlikely that the sample proportion will be as extreme as or more extreme than 0.031, if the null hypothesis is correct.

The maximum probability of rejecting the null hypothesis when it is true is called the significance level, and it is typically used to compare the p-value to. The usual ranges for are 0.05 and 0.01. We reject the null hypothesis and come to the conclusion that there is evidence against it if the p-value is less than. If not, we are unable to reject the null hypothesis and come to the conclusion that there is insufficient evidence. to dismiss it.

If we apply = 0.05 in this instance, the p-value is significantly lower than. As a result, we reject the null hypothesis and come to the conclusion that there is evidence to support a daily production rate of fewer than 0.075 defective computer displays. The manager's assertion that fewer than 750 damaged computer displays are manufactured each day is in conflict with this.

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The equation of the quadratic function with four times the maximum width,  with a maximum of 3 and an axis of symmetry of x = -2 is given as follows:

y = -4(x + 2)² - 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The width is four times the normal width and the function has a maximum, hence the leading coefficient is given as follows:

a = -4.

Considering the axis of symmetry and the maximum, the parameters h and k are given as follows:

h = -2, k = 3.

Hence the function is defined as follows:

y = -4(x + 2)² - 3.

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The set of integers that represents a debit of $10 and a credit of $6 would be  option 1. {-10, 6}.

An integer is a mathematical object that represents a whole number, either positive, negative or zero, without any decimal or fractional part. Integers include the natural numbers (1, 2, 3, ...), their negative counterparts (-1, -2, -3, ...) and the number zero (0).

In this case, a debit of $10 means that $10 has been spent or taken out of the account, which is represented by the negative integer -10. A credit of $6 means that $6 has been added to the account, which is represented by the positive integer 6.

Therefore, the set {-10, 6} represents a debit of $10 and a credit of $6.

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The complete question is:

Which set of integers represents a debit of $10 on a number line, and the credit of $6?

Answer:

Step-by-step explanation:

[tex]4.5^{2}[/tex] x [tex]pie[/tex] =63.6[tex]cm^{2}[/tex]

Answer:

20.25pi or about 63.62

Step-by-step explanation:

the formula for area of a circle is pi*r^2.

since the diameter is 9, the radius is half of that, which is 4.5

then, plugging this into our formula, we get 20.25pi. this rounds to 63.62.

Answer:

n=1,-2

L=2,3

m=5,0

Step-by-step explanation:

if that's in point not coordinates

check after me i might be wrong

0.55 = 55% probability of experiencing neither of the side effects.

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

Venn diagrams are diagrams used to visually describe sets, relationships between sets, and operations carried out on them. John Venn (1834–1883) invented the Venn diagram, which makes use of circles (overlapping, intersecting, and non–intersecting) to show the relationship between sets. A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it.

The "or probability" is given by:

P(A∪B)=P(A)+P(B)-P(A∩B)

P(N)=0.2 , P(D)=0.4 and P(N∩D)=0.15

The "at least one" probability is:

0.2+0.4-0.15=0.45

Hence, the "neither" probability is:

1-0.45=0.55

0.55 = 55% probability of experiencing neither of the side effects.

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I disregard the null hypothesis & come to the conclusion supports the assertion that the mean classroom sizes for full-time is lower than [tex]33[/tex] pupils but since p-value [tex](0.033)[/tex] falls short of significance threshold [tex]=0.01[/tex].

Depending about where it is in the number, each digit has a different value, which is referred to as value. We estimate it by reducing the place value by the face value of the digit. Worth is the product of will get and face value.

Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, thousands, and so on. For instance, 5 in 3458 has a placement value of 5 tens, and 50.

X bar [tex]= (36+27+32+36+35+41+28+25+32+27+33+36+30+29+27+28+30+28)/18 = 31.39[/tex]

s [tex]= \sqrt{(((36-31.39)^2 + (27-31.39)^2 + ... + (28-31.39)^2)/17)} = 4.84[/tex]

We can support the university's claim. The P-value is approximately [tex]0.033[/tex]

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The slant height of given square pyramid is √45 inch.

A square pyramid is a geometric solid that has a square base and four triangular faces that meet at a common vertex. It belongs to the family of pyramids, which are three-dimensional shapes that have a palled the apex.

With the help of the Pythagoras theorem, we can find out the slant height of pyramid using the formula:

[tex]s^{2} =H^{2} +(\frac{a}{2} )^{2}[/tex]

Here, height of square pyramid is H.

take an equilateral triangle, where a triangle has all sides are equal.

so, the height of the triangle (h) = [tex]\sqrt{a^{2} + (\frac{a}{2}) ^{2} }[/tex] = [tex]\sqrt{6^{2} + (\frac{6}{2}) ^{2} }[/tex] = √45 inch

the height of the square pyramid (H) is:

[tex]H^{2} + (\frac{a}{2}) ^{2} } = h^{2}[/tex]

[tex]H^{2} = (\sqrt{45} )^{2} - (\frac{6}{2}) ^{2} }[/tex]

H = 6 inch

The slant height of pyramid using the formula:

[tex]s^{2} =6^{2} +(\frac{6}{2} )^{2}[/tex] = 36 + 9 = 45

s = √45 inch

Therefore, the slant height of given square pyramid is √45 inch.

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Answer:

enjoy your weekend bud , both answers and solutions ares given , if you didn't understand anything lmk with a message and ill be happy to explain

Answer:

  Alvarez = Saunders ≠ Jensen

Step-by-step explanation:

You want to know if any or all of the classes collected the same number of canned goods per student when the numbers were ...

The metric "canned goods per student" is computed by dividing the number of canned goods by the number of students. These values might best be compared as decimal numbers.

The attached calculator screen shows this calculation.

The classes of Mr. Alvarez and Mrs. Saunders had equivalent ratios of canned goods per student: 6. Ms. Jensen's class had a ratio of 5.5 canned goods per student, so was not equivalent to the other two.

Answer:

Step-by-step explanation:

We can find out if the ratios of canned goods per student are the same for any or all of the classes by calculating the ratio of canned goods per student for each class.

Therefore, the ratios of canned goods per student are not the same for all the classes. However, Mr. Alvarez's and Mrs. Saunders's classes have equivalent ratios, indicating that each student, on average, collected the same number of canned goods in these two classes. In contrast, Ms. Jensen's class has a different ratio, indicating that, on average, her students collected a different number of canned goods per student compared to the other two classes.

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You can use 3599 red tiles. If you have used 121 blue tiles.

To begin, find out how many total tiles are in the square by squaring the number of tiles along one side. Then subtract the number of tiles in the two diagonals of the square, which are all blue, to get the number of red tiles. Let us try to solve the problem. Given that the tiles are square and congruent, they must have identical dimensions. Let us assume that the length of one side of the square tile is x.

Therefore, the length of each side of the square can be determined by dividing the number of tiles by the length of the side of the square. The total number of tiles in the square can be calculated by squaring the number of tiles along one side. Consider the following equation: Let x be the length of each side of the square tile.

Then, the total number of tiles that make up the square can be determined using the following equation:

Total number of tiles in square = [tex]x^2[/tex]

We know that all the tiles are congruent squares, except those that are blue, which are located on the two diagonals. This means that there are 2 diagonals of blue tiles, and the remaining tiles are red. To determine the number of blue tiles in the two diagonals, use the following formula:

Length of diagonal = √2 x side length

Since the diagonals pass through opposite corners of the square, they must be equal in length. The total number of blue tiles, 121, is equal to twice the number of blue tiles in one diagonal. Use the following formula to determine the number of blue tiles in one diagonal: 121 / 2 = 60.5 The answer is rounded up to 61.

Using the Pythagorean Theorem, the length of the diagonal of each blue tile can be calculated. The following equation can be used: Side of square = x

Length of diagonal of one blue tile = x√2

The number of blue tiles in one diagonal is the length of the diagonal divided by the length of the diagonal of one blue tile. This can be expressed as a formula:x / (x√2) = number of blue tiles in one diagonal

Simplify the formula:

x / (x√2) = number of blue tiles in one diagonal

Multiply both sides by √2 and simplify:(√2 / 2) = number of blue tiles in one diagonal

This indicates that each diagonal has a total of 61 blue tiles. Because the two diagonals have a total of 122 blue tiles, the number of red tiles is equal to the total number of tiles minus the total number of blue tiles. The following equation can be used to calculate the number of red tiles:([tex]x^2[/tex]) - 122 = number of red tiles

Substitute 61 for x: [tex](61)^2[/tex] - 122 = 3721 - 122 = 3599.

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Answer:

4 people

Step-by-step explanation:

We are given that The amount of time it takes p people to paint d doors varies directly with the number of doors inversely with the number of people.

Let constant of proportionality be k

There are 4 people , 10 doors and 2 hours.

Since we are given that time varies directly with no. of doors and inversely with no. of people.

[tex]2=k\times\frac{10}{4}[/tex]

[tex]\frac{2\times4}{10}=k[/tex]

[tex]\frac{8}{10}=k[/tex]

[tex]\frac{4}{5}=k[/tex]

Now we are supposed to find that How many people will it take to paint 25 doors in 5 hours.

⇒ [tex]5=k\times\frac{25}{d}[/tex]

⇒ [tex]5=\frac{4}{5} \times\frac{25}{d}[/tex]

⇒ [tex]d=\frac{4}{5} \times\frac{25}{5}[/tex]

⇒ [tex]d=4[/tex]

Hence it will take 4 people to paint 25 doors in 5 hours.

Accοrding tο the percentage calculatiοn, 45% οf 60 is 27. Thus, D is the cοrrect οptiοn.

A number οr ratiο that can be expressed as a fractiοn οf 100 is referred tο as a percentage in mathematics. If we need tο calculate a percentage οf a number, we shοuld divide it by its entirety and then multiply it by 100. The percentage therefοre refers tο a part per hundred. Per 100 is what the wοrd percent means. The letter "%" stands fοr it.

A part οf a whοle expressed in hundredths,

Tο find 45% οf 60, we can multiply 60 by 0.45:

45% οf 60 = 0.45 × 60 = 27

Therefοre, 45% οf 60 is 27. Answer: 27

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The solution of the equation is as follows:

[tex]\frac{8^{x} }{2^{y} } = 2^{12}[/tex]

Therefore, the answer is A.

The equation 3x - y  = 12. Let's find the value of [tex]\frac{8^{x} }{2^{y} }[/tex] as follows:

Let's apply the exponential law to solve the expression as follows:

Therefore, when dividing exponential values with the same base, we have to subtract the exponents.

Hence,

[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]

Therefore,

[tex]8^{x} = 2^{3x}[/tex]

Hence,

[tex]\frac{8^{x} }{2^{y} } = \frac{2^{3x} }{2^{y} }[/tex]

Applying the law,

[tex]\frac{8^{x} }{2^{y} } = \frac{2^{3x} }{2^{y} } = 2^{3x - y}[/tex]

Using substitution,

3x - y = 12

Therefore,

[tex]\frac{8^{x} }{2^{y} } = \frac{2^{3x} }{2^{y} } = 2^{3x - y} = 2^{12}[/tex]

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The correct answer is "56."

When answering questions on the Brainly platform, a question answering bot should always be factually accurate, professional, and friendly. Additionally, they should be concise and avoid providing extraneous amounts of detail. They should also not ignore any typos or irrelevant parts of the question, and they should not repeat the question in their answer. Instead, they should use their own words to provide a step-by-step explanation of how to solve the problem.In this case, we are given information about two different diet plans and asked to determine which one is more likely to result in a monthly weight loss of over 7 kg. We are also given information about the length of human pregnancies and asked to estimate how many out of 791 randomly selected newborn babies this month in UAE would be premature.Diet Plan A advertises an average monthly weight loss of 4.5 kg with a standard deviation of 1.4 kg, while Diet Plan B claims an average monthly weight loss of 5.5 kg with a standard deviation of 0.84 kg. To determine which diet plan is more likely to result in a monthly weight loss of over 7 kg, we can use z-scores and the normal distribution.

We can calculate the z-score for Diet Plan A as follows:z = (7 - 4.5) / 1.4 = 1.79We can calculate the z-score for Diet Plan B as follows:z = (7 - 5.5) / 0.84 = 1.79Since both z-scores are the same, both diet plans are equally likely to result in a monthly weight loss of over 7 kg. Therefore, the correct answer is "Both plans are the same."To estimate how many out of 791 randomly selected newborn babies this month in UAE would be premature, we can use z-scores and the normal distribution. We know that births that occur before 245 days are considered premature, and we know that the length of human pregnancies is normally distributed with a mean of 267 days and a standard deviation of 15 days. We can calculate the z-score for a pregnancy length of 245 days as follows:z = (245 - 267) / 15 = -1.47We can use a z-score table to find that the area to the left of a z-score of -1.47 is 0.0708. Therefore, the proportion of pregnancies that result in premature births is approximately 0.0708. To estimate the number of newborn babies out of 791 that would be premature, we can multiply 0.0708 by 791:791 × 0.0708 ≈ 56Therefore, we would expect about 56 out of 791 randomly selected newborn babies this month in UAE to be premature. We should round our answer to the nearest whole number, which is 56. Therefore, the correct answer is "56."

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Answer: You cannot

Step-by-step explanation:

5/34 is considered a proper fraction, it is impossible to convert it into an improper fraction.

The solution is x = 8.

The solution to the equation 2ln(x) = ln(4) + ln(16) should be determined, taking into account any extraneous solutions. The steps to accomplish this are as follows:2ln(x) = ln(4) + ln(16)ln(x^2) = ln(4*16)ln(x^2) = ln(64)By taking the exponential of both sides, this expression can be resolved.x^2 = 64x = ±8Since the natural logarithm is only defined for positive numbers, only the positive value of x is taken into account. Therefore, the solution is x = 8.The process of checking for extraneous solutions involves substituting the answer obtained into the original equation and evaluating it to see whether it is accurate or not.2ln(8) = ln(4) + ln(16)The above equation can be simplified to become: ln(64) = ln(64)The answer is consistent. As a result, the solution is accurate and does not include any extraneous values. The solution is x = 8.

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Answer:

160

Step-by-step explanation:

area of trapezoid = 1/2 (base 1+base 2) x height.

24+8=32

32x10=320

320x1/2=160.

160.

All pοssible angles (in degrees) with a cοsine value οf 0.74 are:

42.47° + 360n and 137.53° + 360n, where n is an integer.

Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It is used tο sοlve prοblems in variοus fields, including physics, engineering, and astrοnοmy.

The cοsine functiοn is pοsitive in the first and fοurth quadrants, sο we can restrict οur attentiοn tο angles between 0 and 360 degrees in thοse quadrants.

Tο find the angles with cοsine 0.74, we can use the inverse cοsine functiοn (alsο called arccοsine οr cοs⁻¹) οn a calculatοr. In degrees, we have:

cοs⁻¹(0.74) ≈ 42.47° and cοs⁻¹(-0.74) ≈ 137.53°

The cοsine functiοn has a periοd οf 360 degrees, sο we can add οr subtract multiples οf 360 degrees tο these angles tο get all pοssible angles with cοsine 0.74. In general, the angles are given by:

θ = cοs⁻¹(0.74) + 360n and θ = cοs⁻¹(-0.74) + 360n, where n is an integer.

Sο, all pοssible angles (in degrees) with a cοsine value οf 0.74 are:

42.47° + 360n and 137.53° + 360n, where n is an integer.

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The amount that x = 153 needs to be to balance the scale. Thus,we would need to drag, One block from A, 5 columns of blocks form B and 3 blocks from C to balance the scale.

a scale is a device used to measure the weight or mass of an object by comparing it to a known reference weight or mass. It works by using the principle of equilibrium, where the weight on one side is balanced by an equivalent weight on the other side. This allows for accurate measurement of the weight or mass of an object.

This is sometimes represented in math as an equation.

We have an equation given in the above image:

221 = x + 68; to find the required blocks to balance the scale, we must find x.

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 68 from both sides:

221 - 68 = x + 68 - 68

153 = x

Therefore, x = 153.

Since each Set "A" is a block of 100 Units, Set "B" is a block of 10 Units, and Set "C" is a Unit, we would need to drag, One block from A, 5 columns of blocks form B and 3 blocks from C to balance the scale.

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Full Question;

The scale shown is not balanced. Drag base ten blocks to the box to show the amount that x needs to be to balance the scale. See the attached image.

Using a two-way table and conditional percentages, the depression datanle available in the Data section below should be used.

The depression datanle should be analyzed using a two-way table and conditional percentages, to answer the research question: "Which of the drugs (if either) was more successful in preventing the recurrence of depression relative to the placebo?"

The table should show the number of patients who took the drugs and those who took the placebo, and the number of patients who had a recurrence of depression and those who didn't have a recurrence of depression after taking the drugs or placebo, respectively.Then, conditional percentages should be calculated for each group of patients who took the drugs and those who took the placebo.

These conditional percentages should be calculated by dividing the number of patients who didn't have a recurrence of depression by the total number of patients who took the drugs or placebo for each group. Finally, the percentage difference should be calculated between the two conditional percentages for the drug and placebo groups. The group with the highest percentage difference is the one that was more successful in preventing the recurrence of depression relative to the placebo.

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For cos(0) to be equal to 0.392, sin(20) must be equal to cos(0 + 30).

We can use the trigonometric identities to simplify the expression cos(0 + 30):

cos(0 + 30) = cos(0)cos(30) - sin(0)sin(30)

Since sin(0) = 0 and cos(30) = √3/2, we have:

cos(0 + 30) = cos(0)√3/2

We can then rearrange this equation to get:

sin(20) = cos(0)√3/2

To solve for cos(0), we can divide both sides by √3/2:

cos(0) = sin(20) / (√3/2)

Using the values of sin(20) ≈ 0.34 and √3/2 ≈ 0.866, we can calculate:

cos(0) ≈ 0.34 / 0.866 ≈ 0.392

Therefore, for cos(0) to be equal to 0.392, sin(20) must be equal to cos(0 + 30).

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Answer:

25°

Step-by-step explanation:

Triangles have a total count of 180°. Seeing that angle K has a measure of 130°, we know that the other two sides must be equal to 50°. However, if ∠KJL = 50°, then ∠KLJ would be 0°, which is impossible.

If the profit from T-shirts sales was $1,632, and the vendor pays the rock bands 1/3 of the total profit from T-shirts and sweatshirts sales at every concert, proportionately, the profit from the sweatshirt sales alone is $546.

Proportion describes the equation of two ratios.

In this situation, when we equate the proportion or fraction of the share of profit paid to the band to the actual profit paid, we can find the total profit realized from the concert sales.

The fractional share of the total profit from T-shirts and sweatshirts paid to the rock band = 1/3

The total amount paid to the rock band after the last concert = $726

The profit from T-shirts sales = $1,632

Proportionately, the total profit from the sales of T-shirts and sweatshirts = $2,178 ($726 x 3)

The profit from sweatshirt sales is the difference between the total profits and the profit from T-shirt sales.

= $546 ($2,178 - $1,632)

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Hence The solution set is {x | x ∈ ℝ, x ≈ 2.91 or x ≈ -0.51}.

In algebra Any equation that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known values, and where a is not equal to zero is known as a quadratic equation.

How do you determine a set of  solution?

first of all you must enter each value from the domain into the equation to obtain the corresponding range values before you can determine the solution set of an equation with a specified domain. From these values, make ordered pairs, and then write them as a set.

The given quadratic equation is ,

25 [tex]x^2[/tex]= -60 x +37

or 25 [tex]x^2[/tex]+60 x - 37=0

to compare  a quadratic equation of the form of [tex]ax^2 + bx + c = 0,[/tex]

than  we get:

a = 25, b = -60, c = -37

We know that the quadratic formula is

x=[tex]\frac{-b ± \sqrt{(b^2 - 4ac)})}{2a}[/tex]

These values are substitute the quadratic formula than we get,

[tex]x=\frac{ 60± \sqrt{(60^2 - 4*25*37)})}{2*25}\\x=\frac{ 60± \sqrt{(3600+3700)})}{2*25}\\x=\frac{ 60± \sqrt{7300)})}{50}\\\\x=\frac{ 60± 85.38}{50}\\\\x=\frac{ 60+ 85.38}{50} or x=\frac{ 60-85.38}{50}\\x=2.91 or x= -0.51\\[/tex]

The solution set is {x | x ∈ ℝ, x ≈ 2.91 or x ≈ -0.51}.

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