A class consists of 10 boys and 20 girls. Exactly half of the boys and half of the girls have brown eyes. Determine the probability that a randomly selected student will be a boy or a student with brown eyes.​

Answers

Answer 1

Answer:

Step-by-step explanation:

30 students 15 have brown eyes 5 of the 15 are boys

1/3 chance a boy with brown eyes will be chosen.

1/2 a chance a student with brown eyes will be chosen


Related Questions

15. Name the indicated parts of this diagram.AC __________________AE __________________DE __________________AB __________________ADE __________________________ACE = _______°CAB = _______°

Answers

SOLUTION:

We want to name the indicated parts on the diagram, their names are;

For the angles, we have;

[tex]\begin{gathered} \measuredangle ADE=22^o\text{ }(Inscribed\text{ }Angle) \\ \measuredangle ACE=44^o\text{ }(Central\text{ }Angle) \\ \measuredangle CAB=90^o\text{ }(Angle\text{ }between\text{ }radius\text{ }and\text{ }tangent) \end{gathered}[/tex]

A parabola can be drawn given a focus of (-5, -1) and a directrix of y=7. Write the equation of the parabola in any form.

Answers

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

How to write the equation of parabola with  directrix of  y = 7 and focus of  (-5, -1)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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Find the slope of each line.

1)2x-5y=20

2) 2x-3y=-9

Answers

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

Percy has $200 in a savings account that earns annually.
How much will he have in total in 1 year?

Answers

200 multiple it by how many months are in a year so 12 and you get 2,400.

5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability that a king will be drawn on the second selection? b. if the king is not replaced, what is the probability that a king will be drawn on the second selection? c. in part (b), are we assuming the card selections are independent? justify your answer.

Answers

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

What is meant by probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

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A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

If a bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. The height of the 7th bounce of the ball is 0.7.

Determining the height of the ball

Given data:

First bounce = 3.75 feet

Successive bounce = 79% or 0.79%

Bounce = 7

Now let determine the height of thee 7th bounce of the ball using this formula

Height =  First bounce  × (Successive bounce) ^ Number of bounce

Let plug in the formula

Height = 3.75 × (0.79 ) ^7

Height  = 0.7

Therefore the height is 0.7.

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Remington purchased a new cell phone for $350 and added an annual warranty plan that cost him $35 per year. In what year will Remington's average annual cost of owning the phone be $122.50? Type your answer....​

Answers

Answer:

3 years and 6 months

Step-by-step explanation:

35 × 3= 105 + 17 = 122

2.916 a month × 6 = 17. 496. And round to the nears while number = 17.50 = 105 + 17.50 = 122.5 or 122.50 zero fir place holder.

You have discovered another alien. Find the correct rescue path before answering this question.

When the spaceship starts from a point on the y axis, what is the y-intercept of the line of travel?

the x-coordinate of the spaceship
the y-coordinate of the spaceship
the y-coordinate of the alien
the distance from the spaceship to the alien

Answers

From the problem we can get that the y intercept of the line of travel is the y coordinate of the spaceship.

Given,

You have discovered another alien. Find the correct rescue path .

When the spaceship starts from a point on the y axis, we have to find the y intercept of the line of travel.

y-intercept;

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

Here,

From the problem we can get that the y intercept of the line of travel is the y coordinate of the spaceship.

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given circle K with diameter IJ and radius KG. GH is tangent to K at G. If GH =6 and KH =8, solve dor KG. Round your answer to the nearest tenth if necessary. If the answer cannot be determined click cannot be determined.

Answers

EXPLANATION:

We are given a circle K with radius KG. Note here that line KJ and line KG are both radii of the circle given.

Also we know that a line tangent to a circle at the point of intersecting with the radius forms a 90-degree angle with the radius.

We can now extract the following triangle from the diagram provided;

We now have a right triangle which we shall solve by use of the Pythagorean theorem;

[tex]a^2+b^2=c^2[/tex]

Where we have c as the longest side (hypotenuse) and then a and b are the two other sides. Substituting into the equation above now gives us;

[tex]\begin{gathered} a^2+b^2=c^2 \\ KG^2+6^2=8^2 \\ KG^2+36=64 \end{gathered}[/tex]

Subtract 36 from both sides;

[tex]\begin{gathered} KG^2+36-36=64-36 \\ KG^2=28 \end{gathered}[/tex]

Take the square root of both sides;

[tex]\begin{gathered} \sqrt[]{KG^2}=\sqrt[]{28} \\ KG=5.2915 \end{gathered}[/tex]

Rounded to the nearest tenth, the answer is;

ANSWER:

[tex]KG=5.3[/tex]

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A (4, 5), B (12,9); 3 to 1 The coordinates of P are:

Answers

By applying line ratio, the coordinates of P are: [10, 8].

How to determine the coordinates of P?

Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Given the following parameters:

Point A (4, 5)Point B (12, 9)m:n = 3:1

Substituting the given parameters into the formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(3(12) + 1(4))/(3 + 1)],  [(3(9) + 1(5))/(3 + 1)]

P(x, y) = [(36 + 4)/4], [(27 + 5)/4]

P(x, y) = [40/4, 32/4]

P(x, y) = [10, 8].

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HELP ASAP, IM DUE IN 4 HOURS
Rotate DEF 90° clockwise around the origin. Then translate D'E'F' to the right 5units and down 2 units. What are the coordinates of D''E''F''? Show and explain how you arrived at your answer.

Answers

Answer below and in attached graph

Step by step

Show and explain:
1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position.

2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’.

Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)

D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)

E (0, -2) ➡️ (2, 0). ➡️ (7, -2)

F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)

Attached graph of pre image and transformations

Answer below and in attached graph Step by stepShow and explain:1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position. 2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’. Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)E (0, -2) ➡️ (2, 0). ➡️ (7, -2)F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)Attached graph of pre image and transformations

Solve the system using linear combination.
41
(5x + 3y
3x - 6y = 9
=
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?

Answers

The solution of system of equation is x = 2 and y = 7. We should multiply first equation with 2 so that when we add the two equations, we csystem of equation an eliminate the variable y.

What is system of equation?

Two or more equations that share variables are said to be .

For instance, consider two equations where x and y are shared:

x + y = 6

3x + y = 2

We might be able to solve equations that have the same number of variables. Where the lines intersect in this case is the answer (1,5)

Given system of equation:

5x + 3y = 41,

3x - 6y = 9

Lets multiply the first equation with 2, we get

10x + 6y = 82

Adding these equation with second given equation we get,

10x +6y +(3x - 6y) = 82 + 9

13x = 91

x = 91/13

x = 7

putting the value of x in any one equation

3(7) -6y = 9

y = 2

Therefore, the x and y in the given system of equation are 7 and 2 respectively.

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In the diagram below line FG is // to line HI, and line segments BC and AD intersect at E.
The measure of angle GBE = 3x+20, and the measure angle ECD = x.

Answers

The values of the angle x in the line segments is 40 degrees.

How to find the measure of angle?

When parallel lines are are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, the line FG is parallel to line HI. The line segment BC and AD are the transversal lines that cut across the parallel lines FG and HI.

Therefore,

3x + 20 + x = 180 (Same interior angles)

Same interior angles are supplementary.  That is the angles sum up to 180 degrees.

Therefore,

3x + 20 + x = 180

4x + 20 = 180

4x = 160

divide both sides by 4

x = 160 / 4

x = 40 degrees

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PLEASE HELP URGENT HELP PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]y = \frac{w}{h - 5c^{3}}[/tex]

Step-by-step explanation:

separate y from everything

[tex]w = y(h - 5c^{3})[/tex]

now divide everything by the thing in the parenthesis

[tex]\frac{w}{h - 5c^{3}} = y[/tex]

now flip it

[tex]y = \frac{w}{h - 5c^{3}}[/tex]

that is your answer

Use the table to answer the question. Number of cases ordered Number of rolls of paper towels 1 12 3 36 5 60 10 120 A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair

Answers

Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls. 1:12 ratio does the proportionality constant appear at in the data table.

Given that,

There is a table.

Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls.

We have to find what ratio does the proportionality constant appear at in the data table.

The table is

Number of cases ordered     |      Number of rolls of paper towels

1                                               |      12

3                                               |      36

5                                               |      60

10                                              |      120

Therefore, 1:12 ratio does the proportionality constant appear at in the data table.

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Jayden multiples -4yx 1/5y and gets an answer of -4/5y. How can you tell without multiplying that his answer is incorrect

Answers

Multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.

So, -4y × 1/5y:

The answer to this multiplication is -4/5y.Which is a wrong answer.We can easily observe in the second term that the denominator is 5y and in the 1st term there is no denominator, so 1 will be represented as a denominator.And y will not be present.Hence, multiplication is not possible with so similar variables in the denominator, in the given situation.

Theefore, multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

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I need your help please

Answers

In order to calculate the price for each brand, calculate the quotient in between the price for n forks over the number of forks, just as follow:

Brand A:

3.89/72 = 0.05

Brand B:

6.62/96 = 0.07

Hence:

Unit price for brand A:

$0.05

Unit price for brand B:

$0.07

Find the error in the calculations below, if there is one:
Line (1): -5x/4-7/2<-3/8
Line (2): 10x + 28<-3
Line (3): 10x < - 31
Line (4): x < -31/10
Line (5):

Answers

The error occurs in the second line, the correct solution is x > -5/2.

What is inequality?

The relation between two unequal expressions is defined as inequality.

Given inequality is -5x/4 - 7/2 < -3/8.

The solution of the inequality is:

-5x/4 - 7/2 < -3/8

10x + 28 > 3

10x > -25

x > -25/10

x > -5/2

Hence, the error occurs in the second line, the correct solution is x > -5/2.

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solving one step inequalities using addition subtraction multiplication and division

Answers

To begin with

we have the inequality

[tex]4>x-2[/tex]

To solve

Step 1: we will collect like terms

[tex]4+2>x[/tex]

simplify the inequality above

[tex]\begin{gathered} 6>x \\ \text{Re}-\text{arranging} \\ x<6 \end{gathered}[/tex]

Hence, the answer is

[tex]x<6[/tex]

To draw the shape

Part B is correct

A graph of a linear function has a slope of -1/3 and contains the point (0, 2). Which of these represents the equation of this function?

Answers

slope intercept equation is represented below

[tex]\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} 2=-\frac{1}{3}(0)+b \\ b=2 \\ y=-\frac{1}{3}x+2 \end{gathered}[/tex]

Hi may you please help me

Answers

The value of x is 85° when a pair of parallel lines intersects another pair of parallel lines.

According to the question,

We have the following information:

A pair of parallel lines intersects another pair of parallel lines.

We have a figure where an angle is given as 85°.

Now, the following theorems would be helpful in finding the value of x:

When a pair of parallel lines is intersected by another line then the sum of two consecutive interior angles is 180°. (1)

When a pair of parallel lines is intersected by another line then the alternate interior angles are equal. (2)

Vertically opposite angles are equal. (3)

(Now, we will refer to these theorems by the number given in the brackets.)

Now, by theorem 3, we have vertically opposite angle as 85°.

Now, its alternate interior angle will also be 85°.

Now, 85° and x° are vertically opposite angles.

So, by theorem 3, we have the value of x as 85°.

Hence, the value of x is 85°.

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Use the conditional statement "If it is January, then there is snow." for questic
17. Identify the hypothesis:
18. Identify the conclusion:

Answers

Hypothesis: It is January and Conclusion: There is snow

What is hypothesis and conclusion?

The initial clause, or "if," of a conditional statement is the hypothesis. The second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. As indicated, this is pq. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

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m=p*Vwe have

p=m/V

Solve for m

That means-----> isolate the variable m

Multiply both sides by V

p*V=(m/V)*V

Simplify

p*V=m

rewrite

m=p*V

Answers

Using the properties of equality, the value for m in the equation is: m = pV.

How to Apply the Properties of Equality to Solve for a Variable?

For any given equation, to solve for a variable in the equation, we have to isolate the variable to one side of the equation in order to determine its value. To do this, several properties of equality need to be applied to isolate the variable to one side of the given equation.

Given the equation, p = m/V, we need to isolate the variable m to one side of the equation in order to solve for m.

p = m/V

Multiply both sides of the equation by V

p × V = m/V × V [multiplication property of equality]

Simplify the equation:

pV = m

m = pV

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Silvia has 20 tomato plants and 30 bean plants. She wants to put the plants in rows so that each row has the same number of tomato plants and the same number of bean plants. What is the greatest number of rows Silvia can plant?

Answers

The greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

As given in the question,

Silvia is going to plant 20 tomato plants and 30 bean plants.

Total tomato plants = 20

Total bean plants = 30

If Silvia would like to plant, the plants in rows where each row has the same number of tomato plants and each row has the same number of bean plants.

Then, the greatest number of rows Silvia can plant is equal to greatest common factor of 20 and 30.

20 = 2×2×5

30 = 2×3×5

Greatest common factor of 20 and 30 = 2×5 = 10

Therefore, the greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

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Two 50 foot tall radio towers are 3000 feet apart. Find the angle of depression from the top of one tower to the base of the other.

Answers

Answer:

Explanation:

The diagram representing the two towers is given below:

Write an equation of the line through (-3,- 6) having slope17/16Give the answer in standard form.The equation of the line is

Answers

The equation of a line in Standard form is:

[tex]Ax+By=C[/tex]

Where "A", "B" and "C" are Integers ("A" is positive).

The Slope-Intercept form of the equation of a line is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

In this case you know that:

[tex]m=\frac{17}{16}[/tex]

And knowing that the line passes through the point

[tex]\mleft(-3,-6\mright)[/tex]

You can substitute values and solve for "b":

[tex]\begin{gathered} y=mx+b \\ -6=(\frac{17}{16})(-3)+b \\ \\ \\ -6=-\frac{51}{16}+b \\ \\ -6=-\frac{51}{16}+b \\ \\ -6+\frac{51}{16}=b \\ \\ b=-\frac{45}{16} \end{gathered}[/tex]

Then, the equation of this line in Slope-Intercept form is:

[tex]y=\frac{17}{16}x-\frac{45}{16}[/tex]

Now that you have this equation, you can write it in Standard form as following:

[tex]\begin{gathered} y+\frac{45}{16}=\frac{17}{16}x \\ \\ \frac{45}{16}=\frac{17}{16}x-y \\ \\ \frac{17}{16}x-y=\frac{45}{16} \end{gathered}[/tex]

The answer is:

[tex]\frac{17}{16}x-y=\frac{45}{16}[/tex]

Jodi bough a new car with 14 gallon gas tank. Around the town she is able to drive 336 miles on one tank of gas. on her first trip traveling on highways, she drives 448 on one tank of gas.A: Write a compound inequality in compact from the represents how many miles Jodi can drive on a tank of gas. Let m represent the number of miles per gallon.B: Rewrite the compound inequality as two simply inequalities separate by either and or, or.C: Solve each simple inequality. Then write the solution in compact form.

Answers

We have the following:

A.

Let m represent the number of miles per gallon, the inequality would be as follows

[tex]\frac{336}{14}\leq m\leq\frac{448}{12}[/tex]

B. In two simple inequalities we have this

[tex]m\ge\frac{336}{14}\text{ or }m\leq\frac{448}{14}[/tex]

C.

[tex]\begin{gathered} m\ge24\text{ or }m\leq32 \\ 24\leq m\leq32 \end{gathered}[/tex]

Use the equation one sixth plus s equals 21 over 30 to answer the questions.


Part A: Determine two numbers that the solution to the equation is between. Support your answer using the correct vocabulary. (2 points)


Part B: Solve for the variable. Show your work. (2 points)

(Its due in 45 minutes so help answer it plsss)

Answers

s is 4/15 of the equation one sixth plus s equals 21 over 30.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is

one sixth plus s equals 21 over 30

This can be written as

one sixth can be written as 1/6.

21 over 30 can be written as 21/30.

so the equation is 1/6+s=21/30.

Let us separate the variable s to find the value of s.

s=21/30-1/6

The LCM of 30 and 6 is 30

s=21-5/30

s=16/30=4/15

Hence s is 4/15 of the equation one sixth plus s equals 21 over 30.

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Jenny love to plant flowers.she has $30 to spend on flower plant flats .find the number of flats she can buy of the cost $4.98 each

Answers

Answer:

6

Step-by-step explanation:

We can round $4.98 up to $5.

Then do $30 / $5 = 6

Go back and check if 6 works:

$4.98 × 6 = $29.88 which is less than $30.

So the answer is 6

PLEASE ANSWER ALL THE QUESTIONS FOR 50 POINTS!!!!!

Answers

a. 4.2 - 2.8 = 1.4
b. 72.1 - 45.6 = 26.5
c. 82.2 - 41.3 - 29.2 = 11.7
d. 17.1 - 11.7 - 0.8 = 4.6
e. 29.2 - 12.5 - 0.9 = 15.8

f. 21 - 14 = 7
g. 71 - 37 - 18 = 16
h. 50 - 19 - 8 = 23
i. 92 - 57 - 16 = 19

Answer:

a. 4.2 - 2.8 = 1.4

b. 72.1 - 45.6 = 26.5

c. 82.2 - 41.3 - 29.2 = 11.7

d. 17.1 - 11.7 - 0.8 = 4.6

e. 29.2 - 12.5 - 0.9 = 15.8

f. 21 - 14 = 7

g. 71 - 37 - 18 = 16

h. 50 - 19 - 8 = 23

i. 92 - 57 - 16 = 19

j. 44 - 18 - 9 = 17

Other Questions
Which of the following sets of ordered pairs lies on the y-axis of a coordinate grid? west high schools population is 250 students fewer than twice the population of east high school. the two schools have a total of 2858 students. how many students attend east high school? Which organ in the human body do you think is the most important? Explain. Little help here please Given the following piecewise function, determine the value of g(4) - 3g(3). Which of the following are medical applications of radiation? Select all that apply. p = q - r + s. solve for q Maria jogs 5 laps of a football field thatis 100 m by 50 m. How far does she jog? Fill in the gaps to factorise the expression.2x^2+7x+3 jamals lawn is shaped like a square with an area of 224.9ft2 .which measurement is closest to the side length of his lawn in feet WHAT'S THE ANSWER?? a sample of a gas is at STP and its temperature remains constant. if the pressure decreases what will happen to the volume joseph uses classical conditioning to teach his sister to be afraid of squirrels. to be successful, he must pair the neutral stimulus, the squirrel, with a(n) , such as . group of answer choices jon is able to get his employees to support his vision for the department because he is a self-confident leader who is enthusiastic and excited about his vision. jon is a(n) leader whose style may be particularly effective when organizations are undergoing transformations. Sketch the vectors u and w with angle between them and sketch the resultant. Make a scatter plot of the data. Scale the x-axis by ones and the y-axis by twos. Compute the derivative of f(x) = x * sin(x) . Use the result to compute f^ prime ( pi 2 ) a person with schizophrenia who laughs when told sad news and screams in situations that most people see as warm and tender is experiencing: a. somatic hallucination b. delusions of control. c. inappropriate affect. d. cognitive distortion. 4. How did carrying capacity impact Yellowstone Park? two technicians are discussing what should be done before assembling a clutch. technician a says that the friction material should be soaked in the atf that will be used in the transmission. technician b says that a dry friction plate could burn the first time it is applied. which technician is correct?