Find the indicated z score. The graph depicts the standard normal distribution with mean and standard deviation 1.a0.8554Z 0BSB.The indicated z score is(Round to two decimal places as needed.)

Answers

Answer 1

we have that

P+0.50=0.8554

so

P=0.3554

using the tables of z-score

For P=0.3554

the value of z is

z=1.06

Related Questions

answers for both boxes please ​

answers for both boxes please

Answers

Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Solving systems using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Substitute in y:                    2x = -3x - 15Isolate x terms:                   5x = -15Isolate x:                              x = -3

Step 3: Solve for y

Define equation:                     y = 2xSubstitute in x:                        y = 2(-3)Multiply:                                   y = -6

Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps

Answers

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

f(x,y)=x³-12x+y³ +3y²-9y Ans: Max (-2,-3); Saddle point (2,-3) and (-2,1); Min (2,1)

Answers

The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).

To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.

Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:

∂F/∂x = 3x² - 12

∂F/∂y = 3y² + 6y - 9

To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:

3x² - 12 = 0 --> x² = 4 --> x = ±2

3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1

Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).

To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:

∂²F/∂x² = 6x

∂²F/∂y² = 6y + 6

Now, let's evaluate the second partial derivatives at each critical point:

At (-2, -3):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.

At (2, -3):

∂²F/∂x² = 6(2) = 12 (positive)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.

At (-2, 1):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(1) + 6 = 12 (positive)

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.

Therefore, the critical points are classified as follows:

Local maximum: (-2, -3)

Saddle points: (2, -3) and (-2, 1)

Local minimum: (2, 1)

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M is directly
When r = 5, M = 150
a) Work out the value of M when r = 10.
b) Work out the value of r when M = 4050.
proportional to r³

just need answers :)

Answers

The value of the variables are;

a. M = 300

b. r = 27

What is direct variation?

Direct variation is described as a type of variation in which the values of the variables either decreases or increases.

As the value of one of the variables increases, the value of the other also increases and as the value of one decreases, the other decreases.

From the information given, we have;

M ∝ r

Find the constant

M/r = K

K = 150/5

K = 30

a. When the value of r = 10, we get;

M = Kr

substitute the values

M = 30(10)

M = 300

b. When the value of M = 4050, we get;

M/K = r

Substitute the values

4050/150 = r

Divide the values

r = 27

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How do you stretch vertically by a factor of 3?

Answers

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

What is the factor about?

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2

• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2

Answers

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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James needs to attach a stabilizing wire to a tall tower. The wire is about 200 feet long and should be attached to the tower at a height of 100 feet. Assume that the ground around the tower is level and that the entire length of the wire is used. Find the distance from the tower to the point where the wire is attached to the ground

Answers

Using the Pythagorean theorem, we can find the distance from the tower to the point where the wire is attached to the ground:

a^2 + b^2 = c^2

where a is the distance from the tower to the point on the ground, b is the height of the tower (100 feet), and c is the length of the wire (200 feet).

Rearranging the equation, we get:

a = sqrt(c^2 - b^2)

Substituting the given values, we get:

a = sqrt(200^2 - 100^2)

a = sqrt(40000 - 10000)

a = sqrt(30000)

a = 173.2 feet (rounded to one decimal place)

Therefore, the distance from the tower to the point where the wire is attached to the ground is approximately 173.2 feet.

5. A ribbon is cut into two pieces. The length of the longer piece is 60 inches and the length of
the shorter piece is 12 inches.

A) How many times the length of the shorter piece is the longer piece?
B) What is the total length of the ribbon?

Answers

The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.

What is ratio ?

ratio can be defined as the given value divided by the total value.

Given ,

A ribbon is cut into two pieces. The length of the longer piece is 60 inches and the length of the shorter piece is 12 inches.

The number of times the length of the shorter piece is the longer piece is

let the number of times be x .

so,

x = 60/12

x = 5

The total length could be = 60+12 = 72

hence, The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.

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WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

(3,5)

Step-by-step explanation:

We first need to substitute x for 3 in the equation :)

y = 2(3) - 1

y = 6 - 1

y = 5

The cordinate will be (3,5)

Have an amazing day!!

Please rate and mark brainliest!!

health programs routinely study the number of days that patients stay in hospitals. in one study, a random sample of 12 men had a mean of 7.95 days and a standard deviation of 6.2 days, and a random sample of 19 women had a mean of 7.1 days and a standard deviation of 5.0 days. the sample data will be used to construct a 95 percent confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital. have the conditions been met for inference with a confidence interval?

Answers

The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Random Sampling: The sample of men and women should be random and representative of the population.Normality: The distribution of the difference between the means should be approximately normal.Independence: The two samples should be independent of each other.

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Multiply -3x√4xy • 8√6x³y, the simplified answer is:

-48x²y√6x.
-48x² √6xy.
-48x³y²√6x.
None of the choices are correct.

Answers

Answer:

none of the choices are correct correct answer is -48\(x^{2}\)\(y^{2}\)\(\sqrt 6\)

A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?​

Answers

Answer:

450 feet

Step-by-step explanation:

60ft = 4 seconds

x ft = 30 seconds

(cross multiply)

60 * 30 = 4x

1800= 4x

(divide both sides by 4)

x= 1800/4= 450

Answer:

ur answer would be 450 feet

Step-by-step explanation:

srry if wrong hope this helps<3

Which of the following means a study used a bivariate correlational design?
a. presence of measured variables
b. use of correlational stats
c. inclusion of quantitative variables
d. depiction of bar graph

Answers

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Please help:)
this worth 100 POINTS!!

Please help:)this worth 100 POINTS!!

Answers

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

a social worker is studying mental health statistics to better understand the clients they may work with. it is known that 5 percent of u.s. adults suffer from a mental illness. after studying this topic and looking at current trends, the social worker believes the percent of u.s. adults who suffer from a mental illness has decreased. what are the hypotheses? fill in the blanks with the correct symbol (

Answers

The null hypothesis would be H0: p = 0.05. The alternative hypothesis would be Ha: p < 0.05.

When forming hypotheses in this context, we typically state a null hypothesis (H0) and an alternative hypothesis (H1). Here's how you can fill in the blanks:

Null hypothesis (H0): The percentage of U.S. adults who suffer from a mental illness has not changed. H0: p = 0.05

Alternative hypothesis (H1): The percentage of U.S. adults who suffer from a mental illness has decreased. H1: p < 0.05

In this case, "p" represents the percentage of U.S. adults with a mental illness. The social worker will use statistical tests to analyze data and determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called.

Answers

An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called a valid argument.

In logic and critical thinking, an argument consists of two main components, premises and a conclusion.

The premises are statements or reasons put forth as evidence or support for the conclusion.

The conclusion is the statement that is being asserted or inferred based on the premises.

A valid argument is one in which the logical relationship between the premises and the conclusion is such that if the premises are true.

Then the conclusion must also be true.

In other words, the conclusion logically follows from the premises.

When an argument is valid, it means that the truth or validity of the premises guarantees the truth or validity of the conclusion.

It does not necessarily mean that the premises are true in reality, but rather that if they were true, the conclusion would be true as well.

Here is an example to illustrate a valid argument,

Premise 1

All mammals are warm-blooded animals.

Premise 2

Dogs are mammals.

Conclusion,

Therefore, dogs are warm-blooded animals.

In this example, if we assume that the premises are true, the conclusion logically follows.

The truth of Premise 1 establishes that all mammals are warm-blooded, and Premise 2 identifies dogs as mammals.

This implies, the conclusion that dogs are warm-blooded animals logically follows from the given premises.

A valid argument can still have false premises or a false conclusion.

The validity of an argument simply relates to the logical relationship between the premises and the conclusion.

Rather than the truth or accuracy of the statements themselves.

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Fit the following data using Lagrange Interpolating Polynomial and compute f(x) at x=-1 6 17 X f(x) 2 -1.1 3.2 13 -1 ?

Answers

Using Lagrange Interpolating Polynomial, f(x) at x = -1 is 106.2, at x = 6 is -31.7, and at x = 17 is -272.4.

Lagrange Interpolating Polynomial is a type of interpolation method that fits a polynomial through given data points. It is used to find the value of a function at a point where there is no value available in the data. Fit the data points given in the table using Lagrange Interpolating Polynomial:

 X     f(x)2     -1.13.2   1317    

Applying the Lagrange's Interpolation formula, the polynomial can be written as follows:

f(x) = {(x - x1)/(x0 - x1)} f(x0) + {(x - x0)/(x1 - x0)} f(x1)f(x)

= {(x - 3.2)/(2 - 3.2)} (-1.1) + {(x - 2)/(3.2 - 2)} (3.2) + {(x - 2)/(13 - 2)} (13)f(x)

= 1.5625x² - 22.75x + 82.1

Therefore, the required Lagrange Interpolating Polynomial is

1.5625x² - 22.75x + 82.1

Now, to find the value of f(x) at x = -1, 6, and 17, substitute the values in the polynomial.

f(-1) = 1.5625(-1)² - 22.75(-1) + 82.1f(-1)

= 106.2f(6)

= 1.5625(6)² - 22.75(6) + 82.1f(6)

= -31.7f(17)

= 1.5625(17)² - 22.75(17) + 82.1f(17)

= -272.4

Therefore, f(x) at x = -1 is 106.2, at x = 6 is -31.7, and at x = 17 is -272.4.

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(3\%) Problem 16: A bicycle tire contains 1.2 liters of air at a gauge pressure of 5.4×105 Pa. The composition of air is about 78% nitrogen (N2​) and 21% oxygen (O2​, both diatomic molecules. How much more intemal energy, in joules, does the air in the bicycle tire have than an equivalent volume of air at atmospheric pressure and the at the same temperature?

Answers

The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T

To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.

The ideal gas law states:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:

P1 = n1RT

P2 = n2RT

The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.

To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:

ΔU = n1RT - n2RT

To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.

Composition: 78% nitrogen (N2) and 21% oxygen (O2)

Volume: 1.2 liters

Pressure: 5.4×10^5 Pa

We can assume that the temperature is constant.

Let's calculate the moles of each gas:

For nitrogen (N2):

n1 = 78% * V / Vm

= 0.78 * 1.2 L / 22.4 L/mol

≈ 0.0415 mol (rounded to four decimal places)

For oxygen (O2):

n2 = 21% * V / Vm

= 0.21 * 1.2 L / 22.4 L/mol

≈ 0.0113 mol (rounded to four decimal places)

Now, we can calculate the difference in internal energy:

ΔU = n1RT - n2RT

= (0.0415 mol) * R * T - (0.0113 mol) * R * T

= (0.0415 - 0.0113) mol * R * T

= 0.0302 mol * R * T

Since the temperature (T) is the same for both scenarios, we can simplify the equation to:

ΔU = 0.0302 mol * R * T

The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).

Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:

ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T

Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.

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Make “a” the subject of the following formula
y + az = z

Answers

A = z-y / z is the answer

find the value of y. 120° y = ?°

find the value of y. 120 y = ?

Answers

Answer:

240

Step-by-step explanation:

360 minus 120 degree give 240 degree

Answer: 60

Step-by-step explanation:

120/2= 60

25 points? pls idk the answer :((( help D:

25 points? pls idk the answer :((( help D:

Answers

Answer:

18x = 7.2

x =.4

Step-by-step explanation:

Let x = the weight of one box

We have 18 boxes that weigh 7.2 lbs

18x = 7.2

Divide each side by 18

18x/18 = 7.2/18

x =.4

Answer:

.4

Step-by-step explanation:

Let x represent the weight of one box.

~theLocoCoco

a² + b -c for a = 2 b = (-9) c = 4

Answers

Answer:

-9

Step-by-step explanation:

4+(-9)-4

4+(-13)

-9

Answer:

-9

4 + -9 - 4

4 + -9 + -4

4 + -13 = -9

Can someone help me?
FIND THE VALUE OF X

Can someone help me?FIND THE VALUE OF X

Answers

Answer: x = 29

Step-by-step explanation:

both angles are the same

so:

2x = 3x-29

2x - 3x = -29

-x = -29

x = 29

Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.

Answers

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Is this correct? If not, please explain.

Is this correct? If not, please explain.

Answers

Yes your answer was correct.

The circumference of a circle is 14 pi cm. What is the area, in centimeters? Express your answer in terms of pi.​

Answers

Answer: 49π or 153.86

Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius

Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86


Which of the forms below is a pyramid?

Which of the forms below is a pyramid?

Answers

Answer:

A

Step-by-step explanation:

Answer: A
B is a Triangular Prism, then C and D is just self explanatory

If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x

Answers

Therefore the cost of each pair of incense is 2.4 in terms of x.

Define the unitary method.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What are ratios and proportions?

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Let x be the cost of one pair of incense.

We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:

(cost of apples + cost of oranges) = 12x

We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:

(3x + 2x) = 12x

5x = 12x

x = 12/5 or 2.4

So the cost of each pair of incense is 2.4 in terms of x.

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convert 7/9 in a long division

Answers

Step-by-step explanation:

The answer is in the picture above

convert 7/9 in a long division

Write an equation for the following, then solve. Show your work.
If a number is subtracted from its square, the result is 90. Find the number(s).

Answers

Answer:

x = -9, 10

Step-by-step explanation:

\(x^2 - x = 90\\\)

Solve this as a quadratic equation, so subtract 90 from both sides:

\(x^2-x-90=0\)

Factoring:

\((x+9)(x-10) = 0\)

This means that:

\(x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10\)

x can be -9 or 10.

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