It is estimated that, during the past year, 27% of all adults visited a therapist and 43% of all adults used antidepressants. It is also estimated that 20% of all adults both visited a therapist and used a antidepressant during the past year.

(a)What is the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants? Round your answer to the nearest hundredth.

(b)What is the probability that an adult visited a therapist during the past year, given that he or she used antidepressants? Round your answer to the nearest hundredth.

Answer: 15

Step-by-step explanation:

first you would subtract -69 by positive 420 to get 15

Answer:

i am sorry i am no se

peack englis

Answer: 2016

Step-by-step explanation: Since you need to find the area of everything u need to multiply it all h*ft*w (height*width*wide) so 18*14*8=2016

Answer: 62

Step-by-step explanation:

The result of multiplying the numbers 31 by 2 is 62.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 31 by 2, you are adding 31 to itself two times:

31 + 31 = 62

Therefore, the result of multiplying 31 by 2 is 62.

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Answer:

1. the three sides to a right triangle is hypotenuse, opposite, and adjacent.

2. If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

hope this helped!!! <3

There are 50 sections on sidewalk of length 40 meter with each section of length 0.8 meter..

Firstly converting the units. We will do it in such a way that we get the length of each section of sidewalk in meters. So, as the 1 decimeter is 0.1 meter. Thus, 8 decimeter will be 0.8 meter.

Now, the formula to be used for calculation of number of sections = total length of sidewalk ÷ length of each section

Keep the values

Number of sections = 40/0.8

Performing division on Right Hand Side of the equation

Number of sections = 50

Thus, there are 50 sections.

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Amanda's answer correct is not correct. The correct answer is 4 R2, because she might have incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead

Amanda's answer, 3 R10, is not correct.

When we divide 34 by 8, we want to know how many times 8 goes into 34, and what is left over. We start by dividing 8 into the first digit of 34, which is 3. 8 cannot go into 3, so we move on to the next digit, which is 34.

We can see that 8 goes into 34 four times, because 8 x 4 = 32. This means that the whole number part of the answer is 4.

But there is still a remainder left over. To find the remainder, we subtract 32 from 34, which gives us 2.

Therefore, the correct answer is 4 R2.

Amanda's mistake may have been to incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead.

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The equation in vertex form to represent the translation is

f(x) = (x - 2)^2

The parent equation is as follows f(x) = x^2

The translation of 2 units to the right is achieved by subtracting 2 from the equation the squaring all the values. This is written as

f(x) = (x - 2)^2

The vertex form of quadratic equation is of the form

y = a(x - h) + k

comparing with the equation shows that

a = 1

h = 2

k = 0

and hence the equation is already in vertex form

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If the circumference is, for example, 18π units, then the diameter would be 3π units.

What is the circumference of the circle?

The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape.

If one measurement of a circle is about 6 times another measurement, we can express this relationship mathematically as:

L = 6R

where L is the larger measurement (such as the circumference or the diameter) and R is the smaller measurement (such as the radius).

To solve for R, we can divide both sides of the equation by 6:

L/6 = R

So the smaller measurement, R, is equal to the larger measurement, L, divided by 6.

For example, if the circumference of a circle is about 6 times its diameter, we can use the formula for the circumference of a circle, C = πd, where d is the diameter:

C = πd

6d = πd (since C is about 6 times d)

6d/d = πd/d (dividing both sides by d)

6 = π

So the ratio of the circumference to the diameter of this circle is 6:1, which is approximately equal to the value of π. In this case, the diameter is the smaller measurement and the circumference is about 6 times the diameter. To find the diameter, we can divide the circumference by 6:

d = C/6

Hence, if the circumference is, for example, 18π units, then the diameter would be 3π units.

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The equation that could be solved to get the same answer is B 5(x+23)=44.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

WE are given that Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the answer.

First;

44.5 /5 = 8.9

Then subtracting 23 from it

8.9 - 23

= 14.1

Therefore, we can write as 5(x+23)=44.5

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Least squares regression makes the sum of the squared prediction errors as small as possible.

By minimizing the sum of the squared variances among the predicted values of the dependent variable and the actual values, least squares regression is a technique used to determine the line or curve that best fits the connection between two variables. A measure of how well a regression line or curve matches the observed data is the sum of squared prediction errors.

It is determined by adding up the squared discrepancies between each observation's actual and anticipated values for the dependent variable. Finding the line or curve that minimises this sum of squared prediction errors is the objective of least squares regression. The least squares regression line offers the best estimate of the relationship among two variables under consideration by minimising the sum of squared prediction errors. So, because it can aid in locating trends, patterns, and connections between variables in a dataset, least squares regression is frequently employed in statistical modelling and data analysis.

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Answer:

u < 11

Step-by-step explanation:

u + 7 < 18

u < 11

To solve the inequality:

u + 7 < 18

We need to isolate the variable u on one side of the inequality symbol.

Subtracting 7 from both sides, we get:

u < 18 - 7

Simplifying the right-hand side, we get:

u < 11

Therefore, the solution to the inequality is:

u < 11

In interval notation, the solution is:

(-∞, 11)

Or you could pick any integer larger than this.

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

Work Shown:

23% = 0.23 in decimal form

x = some positive number

1/x < 0.23

1 < 0.23x .... see note below

0.23x > 1

x > 1/0.23

x > 4.347826 approximately

If x is an integer, then the smallest it can get is x = 5

Check:

Note: The inequality sign does not flip in the 2nd step shown above because x is positive. The sign only flips if we multiplied both sides by a negative value.

The demand curve under monopoly is less elastic than under monopolistic competition because there are no close substitutes under monopoly.

Monopoly:

A monopoly is a business characterized by no competition in the market and no substitute for a product. A monopoly can dictate price fluctuations and create barriers for competitors to enter the market.

A company controls the entire supply chain from production to sales through vertical integration, or becomes a monopoly by acquiring competitors in the market through horizontal integration to become a monopolistic producer.

Monopolistic Competition:

Monopolistic competition exists when many companies offer competing products or services that are similar but not perfect substitutes.

Barriers to entry into monopolistic competition industries are low, and decisions by one company do not directly affect competitors. Competitive companies vary in their pricing and marketing decisions.

The demand curve for monopolistic firm less elastic because the demand curve under monopoly is less elastic than under monopolistic competition because there are no close substitutes under monopoly. The demand curve under monopolistic competition is similar to the monopoly curve. However, the key difference between monopoly and monopolistic competition is that it is monopolistic competition. The demand curve is more elastic. This means that the quantity demanded changes more as the price changes. This is because in monopolistically competitive markets there are substitutes that are close to goods, and in monopolistic markets there are no close substitutes.

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Answer:

[tex]x=3, x=\frac{17}{4}[/tex]

Step-by-step explanation:

The side opposite to the length of 20 is 7x - 11, whereas the side opposite to an unknown length is 4x - 2. To solve this unknown length, we are given 35 as the total length, so we can do 35-20 = 15, which is the opposite of the length of 4x-2.

Since we know the opposite sides of each side, we can set up these equations since we notice that the lengths are parallel based on what is diagrammed:

[tex]7x-11=20[/tex]

[tex]4x-2=15[/tex]

Now, let's solve for x in [tex]7x-11=20[/tex]:

[tex]7x-11=20[/tex]

[tex]7x=20+11\\7x=21\\x=3[/tex]

Let's solve for x in [tex]4x-2=15[/tex]:

[tex]4x-2=15[/tex]

[tex]4x=15+2\\4x=17\\x=\frac{17}{4}[/tex]

Answer:

To simplify 5x(12+7) using distributive property, we can distribute the 5x to each term inside the parentheses, which means multiplying 5x by 12 and by 7, and then adding the two resulting products. This is because the distributive property states that:

Step-by-step explanation:

= 95

The distributive property states that for any real numbers a, b, and c,

a × (b + c) = a × b + a × c.

5x(12+7) using distributive property

5x(12) + 5x(7)

60 + 35

95

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The terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

The starting side refers to the ray on the x-axis, and the terminal side refers to the other ray. A quadrantal angle is one in which the terminal side is "on" the axis.

The amount of rotation from the initial side to the terminal side is used to calculate the angle. The measurement is positive when done in a anticlockwise manner. The measurement is negative when taken anticlockwise. (A negative value for an angle's measure designates the clockwise "direction" of measurement.)

Coterminal angles are those that share the same terminal side when two angles are in standard position.

Given that, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7).

Using the Pythagoras Theorem:

r² = x² + y²

Substitute the values of x and y:

r² = (-5)² + (14pi)²

r = √25 + 196pi²

The value of cos b is given as:

cos b = x/r

cos b = -5/ √25 + 196pi²

Hence, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

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-4m < 28. Divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality sign. m > -7. The solution to the inequality -4m < 28 is "m > -7".

To solve the inequality -4m < 28, we need to isolate the variable "m" on one side of the inequality sign. We can do this by dividing both sides of the inequality by -4. However, since we are dividing by a negative number, we need to reverse the inequality sign. After simplifying, we get the solution m > -7, which means that any value of "m" that is greater than -7 would satisfy the inequality. In other words, all values of "m" that are greater than -7 would make the inequality -4m < 28 true. Understanding how to solve inequalities is important in various mathematical fields such as algebra, calculus, and optimization.

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The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

A 95% confidence interval for population mean () is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error <  < Sample mean + margin of error) = 0.95.

Hence , The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

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The value of kilogram in miles can simply be calculated by dividing the kilometer by 1.609 so 10 kilometers into 6.21371 miles.

In 10k, the "k" stands for kilometres. In terms of miles, 10 kilometres translates to about 6.2 miles, or a half marathon, using the kph to mph conversion. To put that distance into perspective, a 5k is equal to 3.1 miles, or half of it.

So, how does a 10k race go? One of the most well-liked long-distance running competitions is it. Both experienced and novice runners will enjoy the considerable challenge it offers.

A mile on a track consists of four laps, hence a 10k run requires 25 laps. If a 10k event seems a little intimidating, keep in mind that a marathon is 26.2 miles long. By comparison, a 10k seems easy, doesn't it?

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There are 28 dozens of eggs.

The number of dozens of eggs is obtained applying the proportions in the context of the problem.

Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.

Then the number of dozens in 336 eggs is obtained as follows:

336/12 = 28 dozens of eggs.

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The area in which tulips are planted is 4247.625 square meters.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

To calculate the area of the triangle described as;

= 1/2 x length of the base segment x height of the triangle.

Given:

All the grass patches have equal areas.

From the diagram;

the shape of patch 2 is rectangular.

And the dimensions of the rectangle are 120.5 meters by 70.5 meters.

Two triangles of equal areas are formed by the division of patch 2 diagonally.

The area in which tulips are planted is,

= 1/2 x base x height

= 1/2 x 120.5 x 70.5

= 8495.25/2

= 4247.625 square meters.

Therefore, the area is 4247.625 square meters.

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The expression "3x" with one term is called a monomial. In algebra, a term is a unit of an expression that can be separated by addition or subtraction.

A monomial is a type of polynomial expression that has only one term consisting of a coefficient and a variable or variables raised to a non-negative integer power. The expression "3x" is an example of a monomial, where "3" is the coefficient and "x" is the variable raised to the first power. Monomials can be multiplied together or combined using the rules of exponents, making them important in algebraic simplification and manipulation. Understanding the different types of expressions and terms is fundamental in mastering algebraic equations and solving problems.

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Answer: The formula to calculate simple interest is:

I = P * r * t

where:

- I is the interest earned

- P is the principal amount (the initial investment)

- r is the annual interest rate (as a decimal)

- t is the time in years

- To calculate the total amount in the account after the interest is earned, you need to add the interest earned to the principal amount.

So for Mrs. Baxter's investment, the calculation would be:

P = 2000 (the principal)

r = 0.05 (the annual interest rate as a decimal)

t = 8 (the time in years)

I = P * r * t = 2000 * 0.05 * 8 = 800

The interest earned over the 8-year period is $800.

The total amount in the account after 8 years would be the principal plus the interest earned:

A = P + I = 2000 + 800 = 2800

So Mrs. Baxter's investment would be worth $2,800 after 8 years.

Step-by-step explanation:

The amount after 8 years with the rate of interest as 5% simple interest is $2800.

What is meant by simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant. Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time.

Given,

The principal amount P = $2000

The rate of interest r = 5% = 5/100 = 0.05

The time period t = 8 years.

We have to find the amount after 8 years using simple interest formula.

Amount A = P(1+rt) = 2000(1+0.05 * 8)

                              = 2000 * 1.4 = $2800.

Therefore the amount after 8 years with the rate of interest as 5% simple interest is $2800.

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Answer: y = 0.1x^2 - 0.8x + 1.2

hope this helped

The formula to convert from milligrams to milliliters is mL = mg/1000 because there must be 1,000 milligrams in a milliliter.

Whereas a milligram (mg) is a unit of mass, a millimeter (mm) is a unit of length. There is no direct translation between these two units since they measure distinct things.

The mass in milligrams of a volume of a given substance with all dimensions equal to 1 millimeter can, however, be determined if you are requesting information on a specific substance and its density.

Given that there are 1000 cubic millimeters (mm3) in one cubic centimeter, if the material in question does have a density of 1 gram per cubic centimeter (g/cm3), for instance, a 1 mm3 volume of the material would have a mass of 1 milligram (mg).

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The measure of angle x in the isosceles triangle is 40 degrees.

Let's call the two congruent sides of the isosceles triangle "a" and the remaining side "b". Since the angle opposite one of the congruent sides (let's call it "a") is 70 degrees, the other angle opposite "a" must also be 70 degrees due to the property of isosceles triangles. Let's call this angle "y".

So we have two angles that add up to 140 degrees (70 + 70 = 140). We also know that the sum of the angles in any triangle is always 180 degrees. Therefore, we can find the measure of angle "x" as follows:

x + y + 70 = 180

Substituting y = 70, we get:

x + 70 + 70 = 180

Simplifying the equation, we get:

x + 140 = 180

Subtracting 140 from both sides, we get:

x = 40

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The given question is incomplete, the complete question is :

The angles opposite the congruent sides of an isosceles triangle are congruent. find the value of x in the triangle. show all your work.

On converting the length , we get the that 150 meter is equivalent to 492.12 feet .

In order to convert the length of 150 meters to feet,

We use the conversion factor of 3.2808 feet per meter because we know that 1 meter is = 3.2808 feet ;

So , to convert "meter" to "feet" we simply multiply the number of meters by this conversion factor to get the equivalent distance in feet.

By using this method, we get:

⇒ 150 meters × 3.2808 feet/meter = 492.12 feet ;

Therefore, 150 meters is equivalent to 492.12 feet.

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The perimeter of the trapezoid is 100

We would have to solve for the perimeter of the trapezoid.

The perimeter p = sum of the four sides = a + b + c+ d

from the question we have

2 (2x + 8) = 7x - 2

4x + 16 = 7x - 2

- 3x = -16 - 2

x = 6

EF = 2x + 8

= 2(6) + 8

= 12 + 8

= 20

AB = 7x - 2

= 42 - 2

= 40

AE = 1/2AC = 1/2AB = 20

BF = 1/2 CB = 1/2 AB = 20

The perimeter would be

20 + 20 + 20 + 40

= 100

The perimeter = 100

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The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

E° is the complement of event E. It is the set of all outcomes that are not in event E and can be expressed as E° = {14, 15, 16, 17}.The probability of event E° is calculated by summing the probabilities of all outcomes in the event, P(E°) = P(14) + P(15) + P(16) + P(17). Since all outcomes in the sample space are equally likely, the probability of each outcome is 1/12. This means that the probability of event E° is calculated as follows:

P(E°) = 1/12 + 1/12 + 1/12 + 1/12 = 4/12 = 1/3.

Therefore, The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

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Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign