Analyze the data sets and then select which statements are true plz help pic attached WILL GIVE BRAINLIEST

Analyze The Data Sets And Then Select Which Statements Are True Plz Help Pic Attached WILL GIVE BRAINLIEST

Answers

Answer 1

Answer:

he correct statements are 5th and 6th.

Step-by-step explanation:

The data set from the dot plot is as follows:

A      B

25 25

25 25

25 25

26 26

26 26

26 26

27 26

28 27

28 27

29 27

30 27

31 28

31 28

32 29

33 29

33 30

34 31

35 31

35 32

35 34

Use Excel to compute the value of Mean, Median, and Standard deviation for both the data sets.

Set A:

[tex]\text{Mean}_{A} = 29.7\\\text{Median}_{A} = 29.5\\\text{SD}_{A} = 3.658[/tex]

Set B:

[tex]\text{Mean}_{B} = 27.95\\\text{Median}_{B} = 27\\\text{SD}_{B} = 2.544[/tex]

For a symmetric data, Mean = Median.

For left skewed data, Mean < Median

For both the sets of data Mean > Median.

The standard deviation of set A is more than that of set B.

The mean of set A is 29.7 and the median is 29.5. Both values are quite close to each other.

Thus, the correct statements are 5th and 6th.

Analyze The Data Sets And Then Select Which Statements Are True Plz Help Pic Attached WILL GIVE BRAINLIEST

Related Questions

simplify the expression (-h^4)^5

Answers

See image below! If this is right please give me brainlest

when a number is to a power then to another power, the answer is the number to the power TIMES the other power

it should be:

-h^20.

Fill in the blanks for me

Answers

Answer:

Statement                             | Reason                                            

MNOP is a parallelogram    | Given

PM ║ ON                              | Definition of a parallelogram

∠PMO ≅ ∠MON                   | Alternate interior angles theorem

MN ║ PO                              | Definition of a parallelogram

∠POM ≅ ∠MNO                   | Alternate interior angles theorem

ΔMNO ≅ ΔPOM                   | ASA postulate

PM ≅ ON                              | CPCTC

Two retailers sell vanilla extract by the following price chart. When will their price be the same and how much?

Answers

Answer:

8 oz, $41

Step-by-step explanation:

For 4 oz, Chef Mate sells their's for $22 and Grocery Gourmet sells their's $25. Chef Mate sells his vanilla extract for $4.75/oz and Grocery Gourmet sells their's for $4/oz. At the 8th ounce, Chef Mate and Grocery Gourmet will charge the same amount, $41.

Chef Mate: $22 (price of 4 oz) + ($4.75 × 4) = $41

Gourmet Garden: $25 (price of 4 oz) + ($4 × 4) = $41

Find the area of the square with a side length of 8 ft.

Answers

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

[tex]area = length \times width[/tex]

[tex]let \: length = 8 \\ let \: width = 8[/tex]

[tex]area = 8 \times 8[/tex]

[tex]area = 64 \: {ft}^{2} [/tex]

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

hope i helped uh..

PLSSS HELPPP Simplify: (2 - i) (4 +2i)

Answers

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Step-by-step explanation:

( 2 - 1)(4+2)

= (1)(6)

= 6

-3(2x +5) how to solve this problem

Answers

Answer:

Step-by-step explanation:

-3×2x)+(-3×5)

-6x+-15

Could someone help with this?

Answers

Answer:

30t

Step-by-step explanation:

2(15)t

30t

Answer: 30t

Step-by-step explanation:

The group earned 15t, or 15$ an hour for t hours.  Then it was doubled(15t * 2=30t)

The graph shows data from a science experiment in which the temperature of a substance was measured over time.

What is the constant of proportionality for degrees per minute?

Answers

Answer:

The answer to this question is ---> 1/4

Step-by-step explanation:

in your own words, how geometric seqences are related to exponetiol functions

Answers

Answer:

  Geometric sequences are exponential functions

Step-by-step explanation:

Geometric sequences are exponential functions.

The general term of a geometric sequence is given by the exponential function ...

  a[n] = a[1]·r^(n-1)

where a[1] is the first term and r is the common ratio.

You will notice that the independent variable (n) is in the exponent of this function. Hence it is an exponential function.

The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Answers

Answer:

5%

Step-by-step explanation:

104/99=1.05

Answer: 5%

Step-by-step explanation:

if you do the math of 99+5% you will get 103.95 and if you round that to the tenth you get 104.

Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.

Answers

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

Question 8
Find the indefinite integral.
csc(4x) dx.

Answers

The correct answer is C. Using u-substitution: u=4x, du/dx=4, dx=du/4. So now we have to take the indefinite integral of (1/4)*csc(u). Which is (-1/4)ln|csc(u)+cot(u)|. Finally plug in 4x for u, which gives C, or the third option.

Answer:

Option C is correct.

Step-by-step explanation:

Your solution is correct. Given the integral [tex]\int \csc \left(4x\right)dx[/tex], let y = 4x, du = 4dx, respectively [tex]\frac{1}{4}[/tex]du = dx. Rewrite the given using these values of u and du.

[tex]\frac{du}{dx}[/tex] = 4 / 1 = 4,

[tex]\int csc(u)\frac{1}{4} du[/tex] - let us combine csc( u ) and 1 / 4,

[tex]\int csc(u) / 4 * du[/tex] - as 1 / 4 is a constant with respect to u, we can move it out of the integral,

[tex]\frac{1}{4} \int csc(u)du[/tex] - the integral of csc( u ) with respect to u is present in the form

" [tex]In(|csc(u) - cot(u)|)[/tex] . " Therefore,

[tex]\frac{1}{4} ( In(|csc(u) - cot(u)|) + C )[/tex] - replace all occurrences of u with 4x to receive the third solution. It can also be written as " [tex]\frac{1}{4} ( In(|csc(4x) - cot(4x)|) + C )[/tex], but only that your move the negative sign to the left of the integral.

At Jane's school there are 22 more girls than boys, b.

a) Write and expression for the number of girls in terms of the number of boys, b.

b) Using part a), write an equation involving b and solve it to find the number of boys at the school.

c) How many girls are there at the school?



ASAP no need to explain just the answer​

Answers

Answer:

A) girls=boys +22 .B)Boys=girls-22

Step-by-step explanation:

The answer for the question you are asking would be A. Your welcome

Will give brainiest :)

Answers

Answer:

x= 116°

y= 127°

Step-by-step explanation:

x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch

y.... Angle in a cyclic quadrilateral add up to 180°

hence 180-53=127

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer:

Hey there!

Donald would have 20x+10 dollars.

20 dollars (number of 20 dollars) + 10 dollars

Answer: 20x + 10

Step-by-step explanation:

20x in this expression means 20 * the number of dollar bills he owns.  Each bill is worth twenty dollars.  + 10 is simply 10 * 1(the number of 10 dollar bills he owns)

Hope it helps <3

Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?
(2, -5)
(6,-5)
(2,-11)
(6.-11)
TURN IT IN
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ACK FOR HELP
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Answers

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3)  = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4   ; y + 3 = -8

x = 4 +2  ; y = -8 - 3

x = 6      ; y = -11

B(6 , -11)

Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8​

Answers

Answer:

Step-by-step explanation:

None of these choices is correct.  

3y = 8 is an equation, not an expression.  It states that "y is 8 divided by 3," which again is an equation.

Answer:

3 times y divided by 8

Step-by-step explanation:

A 3-column table with 4 rows. Column 1 has entries Catfish, bass, trout, all fish. Column 2 is labeled Sample 1 with entries 3, 9, 8, 20. Column 3 is labeled Sample 2 with entries 5, 9, 6, 20. The proportion used to find the average number of trout you would expect to live in the pond is 7 20 = x 400 . Solve the proportion to find the expected number of trout in the population. The expected number of trout in the population is .

Answers

Answer:

140  

Step-by-step explanation:

The table is:

               |Sample 1      | Sample 2

catfish     | 3                 | 5

bass         | 9                 | 9

trout         | 8                 | 6

all fish      | 20               | 20

The average number of trouts is (8 + 6)/2 = 7

The average number of the total amount of fish is 20

So, there are 7 trouts within 20 fish. To find the expected number of trouts in a population of 400 fish, we have to solve the next proportion:

7 trouts / 20 fish = x trouts / 400 fish

x = 7*400/20

x = 140 trouts

Answer:

140

hope this helps

Express 510 & 3/10 % as a decimal fraction.

Answers

Answer:

5.10 and 0.3

Step-by-step explanation:

510% in decimal form is 5.10 if u move the decimal to the left twice

3/10% is 30% which in decimal from is .3 if u move the decimal over to the left twice

hope this helps

The hypotenuse of a right triangles is 7 inches longer than the base and 14 inches longer than the height. The perimeter is 84 inches. Find its area

Answers

Answer:

294 in^2 = A

Step-by-step explanation:

Let h represent the length of the hypotenuse, b the base and h the height.  Because this is a right triangle, the Pythagorean Theorem applies.

(hypotenuse)^2 = (base)^2 + (height)^2

         h^2           =  (h - 7)^2  +  (h - 14)^2

Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105.  Solving this for h, we get h = 35.

Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.

The area of the triangle is found using the formula

A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A

can you also answer these?!?

Answers

i cannot see the question for #33, but for

#34, im sure there are a bit more efficent ways to find surface area, but i just find the area of each square. area of top and bottom=240 square inches (120+120); area of shorter sides=60 square inches (30+30); area of longer sides= 72 square inches (36+36). add all of those together, so the total surface area is 372 square inches. So basically Charlene will need 372 square inches of wrapping paper

#35 the formula for volume is length*width*height. So do 60*45.5*14=38,220 cubic ft.

#36 first find the area of that triangle. (6*14)/2=42. Then find area of square which is 20*14=280. Add those (280+42) and get 322. So the area of the polygon is 322 square mm

Two terms of an arithmetic sequence are a5=23 and a20=98. find the first 60 terms of the sequence

Answers

Answer:

[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence is obtained using the formula:

[tex]a_n=a+(n-1)d[/tex]

Given that: [tex]a_5=23$ and a_{20}=98.[/tex]

a_n=a+(n-1)d

[tex]a_5=23=a+(5-1)d \implies a+4d=23\\a_{20}=98=a+(20-1)d \implies a+19d=98\\$We solve simultaneously$:\\a+19d=98\\a+4d=23\\15d=75\\d=5\\Recall:a+4d=23\\a+4(15)=23\\a=23-60\\a=-37[/tex]

Therefore, the first 60 terms of the sequence are:

[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]

   First 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.

Arithmetic sequence:   If two consecutive terms of a sequence has a common

           difference 'd', sequence will be an arithmetic sequence and the

           explicit formula for the nth term of the sequence will be,

           [tex]A_n=a+(n-1)d[/tex]

           Here, [tex]a=[/tex] First term

                     [tex]n=[/tex] nth term

                     [tex]d=[/tex] common difference

Given in the question,

Two terms [tex]a_5=23, a_{20}=98[/tex]

If 5th term of the sequence is 23,

[tex]23=a+(5-1)d[/tex]

[tex]23=a+4d[/tex]  -------(1)

If 20th term of the sequence is 98,

[tex]98=a+(20-1)d[/tex]

[tex]98=a+19d[/tex] ----------(2)

Subtract equation (1) from equation (2),

98 - 23 = a + 19d - (a + 4d)

75 = 15d

d = 5

Substitute the value of 'd' in equation (1),

23 = a + 4(5)

a = 23 - 20

a = 3

     Therefore, first 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.

Learn more about an arithmetic sequence here,

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Is 2(–2) + 6(2) equivalent to (–3)(–3) + (–1)(1)? Let negative numbers be represented with a "–" symbol and positive numbers be represented by "+" symbol. Use a pictorial model to justify your answer.

Answers

Answer:

Yes they are equivalent

Step-by-step explanation:

2(-2) = -4, plus 6(2) = 8 and

(-3)(-3) = 9, plus (-1)(1) = 8

Answer:

Yes they are equivalent

Step-by-step explanation:

the other fella right, check his reasons out, hope you guys learn from this question Stay safe everyone who sees this

BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6

Answers

Answer:

3) 5

Explanation:

Use Pythagoras Theorem where

a^2 + b^2 = c^2

3^2 + 4^2 = 25

C= root 25 = 5

A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is

3.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.

Now, for the triangle using the Pythagoras theorem we can write,

AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9 + 16

AC = √25

AC = 5

Hence, the length of AC in the given figure is 5 units.

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HELP! A circle is inscribed in a square. A point N in the square is chosen at random. What is the probability that N lies in the shaded region? Round your answer to the nearest percent.

Answers

Answer:

30%

Step-by-step explanation:

QUICK 35 POINTS PLUS BRANLIEST. PLEASE ANSWER ALL THE QUESTIONS PROPERLY AND EXPLAIN HOW YOU GOT THEM. TRY TO ANSWER THEM BY TODAY.

THANKYOU

Answers

About 127.3(square root of 16,200, or 90√2)  Look at this problem like a right triangle.  Each leg is 90 feet, so the hypotenuse is the square root of 90^2 + 90^2About 52.3(square root of 2735.64)  Another right triangle problem!  Once again, with Pythagorean theorem (a^2 + b^2 = c^2) You can deduce that 60^2 = 29.4^2 + the width of the TV^2.About 11.6(Square root of 134.75)Another right triangle problem, you can deduce that 9.5^2 + The pool length^2 = 15^2

Hope it helps <3

(If it does, please give brainliest, only need one more for rank up :) )

Answer:

2. [tex]18\sqrt{5}[/tex]

3. [tex]52.303...[/tex]

4. [tex]11.608...[/tex]

Step-by-step explanation:

2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex]  is [tex]90\sqrt{2}[/tex].

3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]

4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].

Hope this helped! Just remember the Pythagorean Theorem.

what is the surface ara of a sphere with a diameter of 16cm

32pi cm^2
256 pi cm^2
1,024 pi cm^2
126 pi cm^2

Answers

Answer:

1024pi cm²

Step-by-step explanation:

4pi(16)²

4pi256

1024pi

Answer:

[tex]256\pi {cm}^{2} [/tex]

Step-by-step explanation:

surface area of a sphere=4πr^2

diametre=16

[tex]radius = \frac{diametre}{2} [/tex]

radius=8

[tex]surface \: area \: of \: sphere = 4 \times \pi \times {8}^{2} [/tex]

[tex] \: \: \: \: = 4 \times \pi \times 64[/tex]

[tex] \: \: \: \: = 256\pi {cm}^{2} [/tex]

Make a story problem for the expression below. Then solve the problem. (n + 15) ÷ 5

Answers

Answer:

Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.

Step-by-step explanation:

Answer:

Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?

Determine the measure of ∠F. answers: 1) 256° 2) 52° 3) 128° 4) 64°

Answers

Answer:

4) 64

Step-by-step explanation:

f = 128/2

f = 64

Answer:

4) 64°

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

m<F = (1/2)m(arc)BD

m<F = (1/2) * 128 deg

m<F = 64 deg

5. Points A, B and C are all
the circle.O represents the centre.
Angle AOB = 2x+28 Angle ADB = 3x-70
Calculate the value for x​

Answers

Answer:

Step-by-step explanation:

angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)

angle c+angle d=180....opp angles of a cyclic quad. are supplementry

hence,

x+14+3x-70=180

=>x=64

The value of x from the given figure is 59°.

Given that, points A, B and C are all the circle. O represents the center.

What is circle theorem to relate angle at circumference and central angle?

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, Reflection of ∠AOB= 360-(2x+28)

∠ADB=1/2 (Reflection of ∠AOB)

⇒ 3x-70=1/2 (360-(2x+28))

⇒ 3x-70=1/2 (360-2x-28)

⇒ 3x-70=180-x-14

⇒ 3x-70=166-x

⇒ 3x+x=236

⇒ 4x=236

⇒ x=59

Therefore, the value of x from the given figure is 59°.

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The impact of the deregulation of broadcast journalism by the 1996 Telecommunications Act has been to Group of answer choices increase competition in the news media. increase the quality of news coverage. free the Internet from unnecessary restrictions. increase newspaper circulation. increase consolidation of ownership. The closed feedwater heater of a regenerative Rankine cycle is to heat 7000 kPa feedwater from 2608C to a saturated liquid. The turbine supplies bleed steam at 6000 kPa and 3258C to this unit. This steam is condensed to a saturated liquid before entering the pump. Calculate the amount of bleed steam required to heat 1 kg of feedwater in this unit. Just a little something to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total? Which of the following is an example of figurative language?A.repetitionB.personificationC.allusionD.inference Help, please!! What is the mR The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize. Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20. Find the y-intercept of the line on the graph If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is theratio of their volumes? 11) Assume a population of deer has a crude birth rate of 26 per 1,000/yr, a crude death rate of 15 per 1,000/yr, an immigration rate of 7 per 1,000/yr, and a emigration rate of 9 per 1,000/yr. What is the population growth rate Please explain how you got the answer, too! What is the radius of a circle what circumference is 44cmA. 42cmD. 24cmB. 48cmC. 12cm The three main areas of study in science are Question 1Find the area:110 cm50 cm140 cm180 cm A length of organ pipe is closed at one end. If the speed of sound is 344 m/s, what length of pipe (in cm) is needed to obtain a fundamental frequency of 50 Hz Suppose that we don't have a formula for g(x) but we know that g(3) = 1 and g'(x) = x2 + 7 for all x.(a) Use a linear approximation to estimate g(2.95) and g(3.05).g(2.95) =g(3.05) =(b) Are your estimates in part (a) too large or too small? Explain.A) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie below the curve. Thus, the estimates are too small.B) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie below the curve. Thus, the estimates are too small.C) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie above the curve. Thus, the estimates are too large.D) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie above the curve. Thus, the estimates are too large. Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond? Select the correct answer.What was the long-term effect of the European Reformation?OA. Europeans were permanently divided into two religions, Catholicism and Protestantism.OB. The political boundaries of European nations were redrawn based on religion.C. The Catholic Church divided religious authority among individual churches.OD. A number of new Christian religions developed, but they had different beliefs and practices.OE. Each country developed a system of government that agreed with its dominant religion. Determine the intercepts of the line.