A function f(x) is graphed on the coordinate plane.

What is the function rule in slope-intercept form?
f(x)= ?

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

MMMMMMMM

Step-by-step explanation:

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

Answer:

disagree because x should equal one

x=1

Step-by-step explanation:

5x times 4 =20

divide both sides by 5 times 4

x=1

The null hypothesis (H0) when testing for normality is:

H0 states that the values are sampled from a population that follows a normal distribution.

When testing for normality, the null hypothesis (H0) assumes that the data in the sample is derived from a population that follows a normal distribution. In other words, it assumes that the underlying population from which the sample is taken is normally distributed.

The purpose of testing for normality is to assess whether the data deviates significantly from a normal distribution. By assuming the null hypothesis, we aim to determine whether there is enough evidence to reject it and conclude that the data does not follow a normal distribution.

The other statements provided in the answer choices are not directly related to the null hypothesis when testing for normality. Statements such as "there is not statistically significant difference between two samples" or "if the data is normal, we can be certain that the data in different samples are similar" are not specific to testing for normality.

The null hypothesis (H0) when testing for normality states that the values are sampled from a population that follows a normal distribution. This hypothesis is tested using various statistical tests and techniques to assess the normality assumption of the data.

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The root of the equation sin(x) = 2 - 3 is x = 0, determined using the false position method.

To find the root of the equation sin(x) = 2 - 3 using the false position method, we need to perform iterations by updating the bounds of the interval based on the function values.

Let's define the function f(x) = sin(x) - (2 - 3).

First, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs. Since sin(x) has a range of [-1, 1], we can choose an initial interval such as [0, π].

Let's perform the iterations:

Iteration 1:

Calculate the value of f(a) and f(b) using the initial interval [0, π]:

f(a) = sin(0) - (2 - 3) = -1 - (-1) = 0

f(b) = sin(π) - (2 - 3) = 0 - (-1) = 1

Calculate the new estimate, x_new, using the false position formula:

x_new = b - (f(b) * (b - a)) / (f(b) - f(a))

= π - (1 * (π - 0)) / (1 - 0)

= π - π = 0

Calculate the value of f(x_new):

f(x_new) = sin(0) - (2 - 3) = -1 - (-1) = 0

Since f(x_new) is zero, we have found the root of the equation.

The root of the equation sin(x) = 2 - 3 is x = 0.

The root of the equation sin(x) = 2 - 3 is x = 0, determined using the false position method.

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

The probability that client G you’re considering for a 30-year policy, lives to be 48 years old is 99.90%

The question is incomplete, because a probability table is required to answer this question

From the table in the complete question, the required probability is:

P = 0.998986

Express as percentage

P = 99.8986%

Approximate to 2 decimal places

P = 99.90%

Hence, the required probability is 99.90%

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Answer:

93.526 percent chance of living up to 48 years old

Step-by-step explanation:

\(\frac{93,526}{100000}\)= 0.93526

0.93526= 93.526

Answer:

Is that your answer

Answer:

(2x^3)^2 = 4x^6

(4x^2)^-4 = 1/(4x^2)^4 = 1/256x^8

Step-by-step explanation:

Answer:

Option A: \(\dfrac{56.52}{18}\)

Step-by-step explanation:

Circumference of a circle is given by the formula
C = πd

where d = diameter of the circle

Given
C = 56.52

d= 18 feet

56.52= 18π

\(\pi = \dfrac{56.52}{18}\)

This is option A

If you were every in doubt about the correct answer, all you have to know is that the value of π = 3.14

C and D have ratios less than 1

B has a ratio of approx 6

A has  a ratio close to 3

Answer:

i got 9.1 pounds on my calculator

Answer:

Crafts books: 7

Cookbooks: 13

Step-by-step explanation:

Let x be the crafts book

Let y be the cookbooks

Solve for x:

Solve for y:

I hope this helps!

Answer:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Step-by-step explanation:

Numbers between 4/6 and 7/5 are:

Making the same demoninator, which is 30 (LCM)

Therefore, now the new numbers are 20/30 and 42/30.  

Now,

the numbers between are 20/30 and 42/30:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Hope it helps!

Mark as brainliest!

Thanks!!!

Answer:

these are the answers from top to bottom

0

5

10

15

Answer:

0,0

1,5

2,10

3,15

Step-by-step explanation:

Answer:

y = 2x + 7

Step-by-step explanation:

When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.

Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.

y - y1 = m(x - x1)

y + 1 = 2(x + 4)

Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.

y + 1 = 2(x + 4)
y + 1 = 2x + 8

y = 2x + 7

If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.

The ball is in free fall after being tossed, so its acceleration is constant at any time t :

\(a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}\)

By the fundamental theorem of calculus, the velocity function is given by

\(\displaystyle v(t) = v(0) + \int_0^t a(u) \, du\)

Compute the integral:

\(\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du\)

\(\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)\)

\(\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}\)

Similarly, the height function is given by

\(\displaystyle h(t) = h(0) + \int_0^t v(u) \, du\)

\(\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du\)

\(\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)\)

\(\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}\)

Answer:

V(t) = 58-9.8t

h(t)=1.2+58t-4.9\(t^{2}\)

Step-by-step explanation:

Using the standard formula

a=V f-Vi/t --rearrange

at=V f-Vi

V f=V i + a t

therefore

V(t)=58-9.8t

same with height

H= Hi+Vit+1/2at^2

therefore

h(t)=1.2+58t-4.9t^2

Answer:

ldldlldldlsñspleleldldkkfkdosos

Answer:

B. (x - 3²)(y-6)

Step-by-step explanation:

 Find the expression with a value of 30;

  when x  = -1 and y = 3:

    A.  (x - 3²).y-6

            (-1 - 9).3-6 = -10 x 3 -6  = -30 - 6 = -36

  B.  (x - 3²)(y-6)

           ( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30

 C.  x - 3² . (y-6) = -1 - 9.(3-6)

                          = -1-9.-3

                          = -1 - 9 x -3

                          = -1 + 27

                          = 26

D. x - 3².y-6 = -1 - 9. 3 - 6

                    = -1 - 27 - 6

                    = -34

Answer:

Step-by-step explanation:

t=time c=distance

t=50 c is a dependent variable

1t=50c

2t=100c

3t=150c

4t=200c

1*50=50c

50=50c

-50

50=c

Hope this helped.

A brainliest is always appreciated.

Answer:

The formula is c=50t :) (TRUST ME, I GOT IT RIGHT ON THE RSM STUDENT PORTAL)

Step-by-step explanation:

The cities are 200 miles apart, and the constant speed is is 500mph, so:

50=c/t

c=50t (fact families :))

Answer:

50°

Step-by-step explanation:

all triangles = 180°

add 53 + 77 = 130

subtract 180 - 130 = 50

giving you your answer of 50°

Answer:

50

Step-by-step explanation:

The total angle of a triangle is 180

so add 77 and 53 to find out what you have so far

77 + 53 = 130

then you need to find the difference which you do by subtracting

180 - 130 = 50

so x = 50

Answer:

\(x = 112\)

Step-by-step explanation:

Required

Find x

The given shape is a quadrilateral and the angles add up to 360;

So:

\(x + 49 + 111 + 88 = 360\)

\(x + 248= 360\)

Subtract 248 from both sides

\(x + 248-248= 360-248\)

\(x = 360-248\)

\(x = 112\)

Hence, the measure of x is 112

Answer:

e d and b

Step-by-step explanation:

just trust me

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Approximately 34.1% of students earn a score between 75% and 89%.
the correct answer is 34.1%.

Approximately what percent of students earn a score between 75% and 89%?

To solve this problem, we need to calculate the area under the normal distribution curve between 75% and 89%.
First, we need to convert the scores into z-scores using the formula:
z = (x - mean) / standard deviation

For 75%, the z-score is (75 - 89) / 14 = -1
For 89%, the z-score is (89 - 89) / 14 = 0

Next, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores.

The area between -1 and 0 is approximately 0.3413, which is equivalent to 34.1%.

Therefore, approximately 34.1% of students earn a score between 75% and 89%.

So the correct answer is 34.1%.

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Answer:

The last option/ 30 degrees

Step-by-step explanation:

we use the pythagorean theoeom to say that the triangle is a right triangle. We know which one the right angle is, so the remaining two angles add up to 90 degrees. we eliminate the third option and the first. Then, eliminate the fourth and the second. The answer is either 42 or 30. It cannot be 42 because 42+56+70=168, and 168 is not equal to 180. So, the  answer is 30 degrees.

x=30 degrees