A researcher suspects that people who are abused as children tend to be more prone to severe depression as young adults. She prepares a questionnaire that measures depression and that also asks many personal questions about childhood experiences. Think about how an appropriate description of the purpose of this research would be written (to be read by subjects) in order to obtain their informed consent. You must balance the conflicting goals of not deceiving the subjects about what the questionnaire will tell about them and not biasing the sample by scaring off people with painful childhood experiences.Based on this criteria, which of the statements is an appropriate description of the purpose of the research, that would be read by subjects in order to obtain their informed consent? Pay close attention to the wording of each description. a. The purpose of this research is to study whether people who are abused as children tend to be more prone to severe depression as young adults. b. The purpose of this research is to study whether childhood abuse tends to cause severe depression in young adults. c. The purpose of this research is to study whether severe depression is a result of people having bad experiences in childhood. d. The purpose of this research is to study how childhood experiences are related to risk of depression. e. The purpose of this research is to study different experiences people have had in childhood.

Answer:

B. x=0

Step-by-step explanation:

The Polygon ABCDE is reflected by

y-axis => x=0 , to produce polygon A’ B’ C’ D’ E’

Answer:

B. x = 0

Step-by-step explanation:

Plato

Step-by-step explanation:

sinA/tanA

=>sinA ÷ sinA/cosA

=>sinA x cosA/sinA

=>cosA

Step-by-step explanation:

Hey there!

LHS

[tex] = \frac{ \sin(a) }{ \tan(a) } [/tex]

[tex] = \sin(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]

= cos A

Proved!!

Hope it helps!

Answer:

So, to fill the tray completely , he needs 3 bags of sand.

Step-by-step explanation:

Tray dimensions,

length = 0.8 m

Width = 0.6 m

height = 0.1 m

Volume of one sand bag = 17000 cm^3

Let the volume of the tray is V.

V = length x idth x height

V = 0.8 x 0.6 x 0.1 = 0.048 m^3

Number of sand bags

[tex]n=\frac{0.048}{17000\times 10^{-6}}\\\\n = 2.82[/tex]

So, to fill the tray completely , he needs 3 bags of sand.

Step-by-step explanation:

So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.

We are given the system of equations -:

[tex] \large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}[/tex]

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

[tex] \large{2x + 3(6x + 22) = - 14}[/tex]

Expand 3 in the expression so we can combine like terms and isolate x-variable.

[tex] \large{2x + 18x + 66 = - 14}[/tex]

Then combine like terms.

[tex] \large{20x + 66 = - 14}[/tex]

Get rid of 66 from the left side by subtracting both sides by itself.

[tex] \large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}[/tex]

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

[tex] \large{ \frac{20x}{20} = \frac{ - 80}{20} }[/tex]

Simplify to the simplest form.

[tex] \large{x = - 4}[/tex]

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

Answer:

A. x = -2

C. x = -4

Step-by-step explanation:

y = 6x + 22

2x + 3•(6x+22) = -14

20x = - 80

x = -4

y = 6x+22

y = 6(-4)+22 = -2

Answer:

49.87

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.

This means that [tex]\mu = 70, \sigma = 8[/tex]

What percentage of students receive between a 70% and 94%

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 70. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 70}{8}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a p-value of 0.9987.

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 70}{8}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

0.9987 - 0.5 = 0.4987.

0.4987*100% = 49.87%.

So the percentage is 49.87%, and the answer, without the percent sign, is 49.87.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the right trianglea are not given. The general explanation is as follows.

Using Pythagoras Theorem, we have:

a² = b² + c²

Where:

a => hypotenuse

Assume that the opposite and the adjacent sides are given as 3 and 4, respectively.

The hypotension becomes

a² = 3² + 4²

a² = 9 + 16.

a² = 25

Take square roots.

a = 5

If any of the other side lengths is missing; you make that side the subject and then solve.

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

Answer:

m-8

Step-by-step explanation:

p⁰ = 1

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 1

Step-by-step explanation:

3x - 1 = 2

Add1 to both sides

3x = 3

Divide both sides by 3

x = 1

Answer:

Amount of food need for 30 days = 14.4 kilogram

Step-by-step explanation:

Given information:

Amount of food dog eat each day = 0.48 kilogram

Find:

Amount of food need for 30 days

Computation:

⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days

⇔ Amount of food need for 30 days = 0.48 x 30

Amount of food need for 30 days = 14.4 kilogram

14.4 kilogram is right answer.

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

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

Let x represent the number of product A and y represent the number of product B, hence:

x ≤ 500 + 2y        (1)

Also:

35x + 50y > 22500²    (2)

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

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Answer:

58.3

Step-by-step explanation:

divide 700 by 12

Answer:

$50

Step-by-step explanation:

The equation for this is:

700 = 12m + 100, where $700 is the total cost, m is the monthly fee, 12 is the number of months in a year, and $100 is the starting fee

Solve the equation:

700 = 12m + 100

12m = 600

m = 50

Answer:a

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

This set of coordinates does represent a point [tex]P(x,y)[/tex].

Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as

[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]

Answer:

A dilation by a factor of three about Point T followed by a translation of two units downwards.

Step-by-step explanation:

When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.

Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.

First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)

Next, notice that from Point T'' to U'', we move nine units right and six units up.

From Point T to Point U, we move three units right and two units up.

Likewise, from Point T'' to S'', we move six units left and nine units up.

From Point T to Point S, we move two units left and three units up.

Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.

Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.

Answer:

a = 3 and b = 4

Step-by-step explanation:

5a + 4b = 31 --(1)

5a + 6b = 39 --(2)

(2) - (1) : 2b = 8

               b = 4 -- (3)

Substituting (3) into (1),

5a + 16 = 31

5a = 15

a = 3 -- (4)

Therefore, a = 3 and b = 4

If this helps you please mark brainliest!

Have a nie day!

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]H_0:[/tex] Management quality and corporate reputation are independent.  

[tex]H_1:[/tex]  Management quality and corporate reputation are not independent.

Test statistic:

[tex]\to \chi^2 = \frac{\sum (O-E)^2}{E}[/tex]

[tex]= 0.71429 + 0.0102 +2.8809+0.625+1.75 +0.3333 +0+3.2143+7.5\\\\= 17.02806[/tex]

The critical [tex]\chi^2[/tex] for[tex]df = (r-1)(c-1) = (3-1)(3-1)= 4[/tex] and [tex]\alpha = 0.05[/tex] is [tex]\chi^2= 9.4877[/tex]

Test statistic:

[tex]17.02806 > 9.4877[/tex] therefore rejecting the null hypothesis [tex]H_0[/tex].

p-value[tex]= 0.001909[/tex]

Interpretation:

There is no internal governance quality as well as the reputation of the organization.

Answer:

63,5

Step-by-step explanation:

pi r bình pnhân  hươnh g

Answer:

C) 5040

Step-by-step explanation:

[tex]7!=7*6*5*4*3*2*1=5040[/tex]

Answer:

5040

Step-by-step explanation:

! means take multiply that number and all the number down to 1

7! = 7*6*5*4*3*2*1

   =5040

The little lines theu each section are telling you all those sections are identical, which mean they are the same length.

You are told one section is 10, which means x is also 10

X = 10

Answer:

6x+4 ft

40 ft

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

  = 2( x+5 + 2x-3)

Combine like terms

  = 2(3x+2)

 Distribute

  =6x+4

Let x= 6

 = 6*6+4

  = 36+4

  = 40

The relation between the functions f(x), g(x), and h(x) will be f(x)/g(x) is equal to h(x). Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

f(x) = 3x³ + 9x² - 12x

g(x) = x - 1

h(x) = 3x² + 12x

The function f(x) can be written as

f(x) = 3x(x² + 3x - 4)

f(x) = 3x(x² + 4x - x - 4)

f(x) = 3x(x + 4)(x - 1)

f(x) = (x - 1)(3x² + 12)

Then divide the function f(x) by the function g(x), then we have

f(x) / g(x) = (x - 1)(3x² + 12) / (x - 1)

f(x) / g(x) = (3x² + 12)

f(x) / g(x) = h(x)

More about the function link is given below.

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Answer:

B

Step-by-step explanation:

edmentum

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

Answer:

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

Answer:

8

Step-by-step explanation:

first, 70-79 have 3 students

then 80-89 have 5 students

Answer:

Eighty nine million six hundred forty three thousand ninety two

Step-by-step explanation:

89,643,092

=> Eighty nine million six hundred forty three thousand ninety two

Answer:

(a) average calls = 5  

(b) probability that there is exactly one call in 6 consecutive monts = 0.038

Step-by-step explanation:

Let event of a customer requiring help in a particular month = H

and event of a customer not requiring help in a particular month = ~H

Given

p= 0.01,  therefore

Number of households, n = 500.

Binomial distribution:

x = number of households requiring help in a particular month

P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)

where

C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n

(a) Average number of households requiring help = np = 500*0.01 = 5

(b)

Probability that there are no calls requiring help in a particular month

P(0), q= C(0,n)*p^0(1-p)^(n-0)

= 1*1*0.99^500

= 0.006570483

Applying binomial probability over six months,

q = 0.006570483

n = 6

x = 1

P(x,n,q)

= C(x,n)*q^x*(1-q)^(n-x)

= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5

= 0.038145

Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038

Answer:

Step-by-step explanation:

Split it into two:

Y<3x

Y<5

X = 1

Y = 3

(1,3)

X = 2

Y = 6

(2, 6)

Plot the line up to y = 4.999999999999999999999 and not higher.

Answer:

Plot the line up to y = 4.999999999999999999999 and not higher