A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6. What is the Pearson correlation for these data

Answers

Answer 1
The Pearson correlation can be calculated by the formula:
[tex]r = \frac{SP}{ \sqrt{SS_{x}SS_{y} } } [/tex]

Therefore:

r = 6 / √(4·25)
  = 6 / √100
  = 6 / 10
  = 0.60

Hence, the Pearson correlation for this set is 0.60

Related Questions

what is the height of the beach sign?

and what is the height of the beach umbrella?

I'm not sure if both images were attached, oops. but please help! I'll mark as brainliest! thank you!

Answers

To find the height of this umbrella you need to use the tangent function.

[tex] tan 45 = \frac{8}{x} [/tex]
[tex](tan 45)(x) = 8 [/tex]
[tex]x = \frac{8}{tan 45} [/tex]
[tex]x = \frac{8}{1} [/tex]
[tex]x = 8[/tex]

The height of the umbrella is 8.

Hope this helps :)

Betty makes pies. To make 6 pies, she uses 127 cups of flour. How many cups of flour are needed to make 1 pie?

Answers

21.16 cups of flour just divide 127 by 6

In a class experiment, Sean finds that the probability that a student plays soccer is . If the school population is 300, how many students would we expect to play soccer, based on Sean's experiment?

Answers

It's 144

well I just got out of a test  and the answer was 144.

Find the volume of the given prism. round to the nearest tenth if necessary.
a. 2,511.5 yd to the power of 3b) 1,255.7 yd to the power of 3c) 1,025.3 yd to the power of 3d) 1,450.0 yd to the power of 3

Answers

the picture in the attached figure

we know that
volume of the prism=area of the base*height 

step 1
find the area of the base
the base is an equilateral triangle
calculate the area with the law of sines
Area=(1/2)*a²*sin C
where
a=10 yd
C=60°  (three internal angles are equals)
Area=(1/2)*10²*sin 60°-----> 25√3 yd²

step 2
find the volume
volume of the prism=(25√3)*29-----> 1255.74 yd³ ------> 1255.7 yd³

the answer is the option
b) 1,255.7 yd to the power of 3
1) B 1,255.7 yard^3
2) B $ 70.58
3) A 7 in
4) C 54 (pi)in^3
5) D 944 mm^3

~GENERAL OUT~

The day started at 48 degrees. by 3:00 p.m., the temperature has increased by 17 degrees. by nightfall, the temperature fell 17 degrees. what was the net change in temperature

Answers

Final answer:

The net change in temperature over the day is 0 degrees. After increasing by 17 degrees in the afternoon, the temperature fell by 17 degrees by nightfall, returning it to the starting temperature.

Explanation:

The student has asked about calculating the net change in temperature over the course of a day starting at 48 degrees. By 3:00 p.m., the temperature increased by 17 degrees, making it 65 degrees. But by nightfall, the temperature decreased by the same amount, falling back down to 48 degrees. The calculation of net change in this scenario is simple: subtract the starting temperature from the final temperature after all changes have occurred. In this case, the starting temperature was 48 degrees, it went up to 65 degrees, and then back to 48 degrees.

The net temperature change is therefore 48 degrees (final temperature) - 48 degrees (starting temperature), which equals 0 degrees. This means there was no net change in temperature over the course of the day. It is important to recognize that even though there was a temporary increase and subsequent decrease, the net effect cancels out, leaving the temperature the same as it started.

What is the expected value of the game if 3 hits pay​ $6, 2 hits pay​s $4, 1 hit pays $2, and 0 hits pay​s costs $4?

Answers

The probability of getting 3 hits is
     [tex]P\left(3\:hits\right)=0.7\times 0.5\times 0.3=0.105[/tex]

The probability of getting 2 hits is 
     [tex]P\left(2\:hits\right)=\left(0.7\times 0.5\times 0.7\right)+\left(0.7\times 0.5\times 0.3\right)+\left(0.3\times 0.5\times 0.3\right)=0.395[/tex]

The probability of getting 1 hit is 
     [tex]P\left(1\:hit\right)=\left(0.7\times 0.5\times 0.7\right)+\left(0.3\times 0.5\times 0.7\right)+\left(0.3\times 0.5\times 0.3\right)=0.395[/tex]

The probability of getting 0 hit is 
     [tex]P\left(0\:hit\right)=0.3\times 0.5\times 0.7=0.105[/tex]

The expected value is solved by adding the products of the probability by the given pay. That is 
   [tex]E=0.105\left(6\right)+0.395\left(4\right)+0.395\left(2\right)+0.105\left(4\right)=3.42[/tex]
     
The expected value is $3.42.

HELP ME PLEASE THIS IS IMPORTANT

Answers

when multiplying numbers with exponents you add the numbers
 since the answer has 9 as the exponent c = 9-7 = 2
c=2

the answer is positive 36 so d would be 36 / -9 = -4

d = -4

How to find the sum of the squares of the lengths of the legs of a triangle of a=(-6,11) b=(2,8) c=(-1,0)?

Answers

Final answer:

To find the sum of the squares of the lengths of the legs of a triangle, use the distance formula to calculate the length of each leg and then square these lengths, summing the squares of the two legs that do not form the hypotenuse.

Explanation:

To find the sum of the squares of the lengths of the legs of a triangle with vertices A=(-6,11), B=(2,8), and C=(-1,0), we first calculate the length of each leg using the distance formula, which is √((x2-x1)² + (y2-y1)²). For AB, AC, and BC we find distances:

AB = √((-6-2)² + (11-8)²)AC = √((-6+1)² + (11-0)²)BC = √((2+1)² + (8-0)²)

Then, we square each leg's length:

AB² = ((-6-2)² + (11-8)²)AC² = ((-6+1)² + (11-0)²)BC² = ((2+1)² + (8-0)²)

Finally, we sum up the squares of AB and AC because they represent the legs of the triangle:

Σ(leg squares) = AB² + AC²

The sum of the squares of the lengths of the legs has now been found.

Learn more about Sum of Squares of Triangle Legs here:

https://brainly.com/question/2311604

#SPJ3

Wha is the greatest common factor of 1 and 27

Answers

1. 1’s only factor IS 1, so it’s kind of your only choice.

ABC Bookstore sells new books, n, for $12, and used books, u, for $8. The store earned $112 revenue last month. The store sold 4 more used books than new books. Using the substitution method, how many new and old books did ABC bookstore sell?
A.n = 4; u = 8
B.n = 8; u = 4
C.n = 8; u = 12
D.n = 12; u = 8

Answers

Let n new books and u old books were sold last year.
Revenue from new books = 12n
Revenue from old books = 8u

Last month, the store earned $112 as revenue, so we can write:

12n + 8u = 112

The store sold 4 more used books than new books, so we can write:

u = n + 4
Using the value of u, in above equation, we get:

12n + 8(n+4) = 112
12n +8n + 32 = 112
20n= 80

n=4

Since,
u = n + 4
u = 4 + 4 = 8

Thus, the store sold 4 new books and 8 old books last month. So the correct option is A

do 5, 4, 3 represent the side lengths of a triangle

Answers

3^3 + 4^2 = 5^2
9 + 16 = 25
They are the side lengths of a triangle and they are the sides of a RIGHT triangle.


A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?

Answers

The answer is y= -1/2x + 1

Answer:

The equation of the line is [tex]y=\frac{-1}{2}x+1[/tex]

Step-by-step explanation:

1. The equation of the line that passes through two points can be expresed as:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex] (Eq.1)

where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex] and [tex]y_{2}[/tex] are the given points.

2. Name the points:

[tex]x_{1}[/tex]=-6

[tex]x_{2}[/tex]=-2

[tex]y_{1}[/tex]=4

[tex]y_{2}[/tex]=2

3. Replace the points in the Eq.1:

[tex]\frac{y-4}{x-(-6)}=\frac{2-4}{-2-(-6)}[/tex]

[tex]\frac{y-4}{x+6}=\frac{2-4}{-2+6}[/tex]

[tex]\frac{y-4}{x+6}=\frac{-2}{4}[/tex]

[tex]\frac{4(y-4)}{x+6}=-2[/tex]

[tex]4(y-4)=-2(x+6)[/tex]

[tex]4y-16=-2x-12[/tex]

[tex]4y=-2x-12+16[/tex]

[tex]4y=-2x+4[/tex]

[tex]y=\frac{-2x+4}{4}[/tex]

[tex]y=\frac{-2x}{4}+\frac{4}{4}[/tex]

[tex]y=\frac{-1}{2}x+1[/tex]

Given the following sets: A={ 2, 4, 6, 8, 10} B={ 3, 5, 7, 9} C={ 2, 3, 5, 7} N={ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Match the following Unions and intersections to the correct set.

a) {2, 3, 5, 7, 9}


b){3, 5, 7, 9}


c){2, 3, 4, 5, 6, 7, 8, 10}


d){ }


e){2, 4, 6, 8, 10}

1.
What is A U C?

2.
What is A ∩ B?

3.
What is A ∩ N?

4.
What is B ∩ N?

5.
What is B U C?

Answers

1. c - all the numbers in either of the sets

2. d - only the numbers in both sets (there are none)

3. e - A is a proper subset of N, so their intersection is identical to A

4. b - B is a proper subset of N, so their intersection is identical to B

5. a - all the numbers in either of the sets

Anna has leaned a ladder against the side of her house. The ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high. What length is the best approximation for the distance along the ground from the bottom of the ladder to the wall?

Answers

The answer is 2 m hope this helps

Answer:

The best approximation of AB is 2 meters.

Step-by-step explanation:

Notice that this situation models a right triangle, when the height, which is a leg of the triangle, is 6 meters.

Also, we know the angle between the ladder and the ground, which is 72°.

To find the distance from A to B, which from the bottom of the ladder to the bottom of the wall, we just need to use trigonometric reasons.

[tex]tan(72\°)=\frac{opposite \ leg}{adjacent \ leg}[/tex]

Why we use tangent? Because it relates both legs where we just need to find the adjacent one.

[tex]tan(72\°)=\frac{6}{AB}\\AB=\frac{6}{tan(72\°)} \\AB \approx \frac{6}{3} \\AB \approx 2 \ m[/tex]

Therefore, the best approximation of AB is 2 meters.

Compare the exponential and logarithmic models of population growth

Answers

The base a logarithm of a positive number x is the exponent you get when you write x as a power of a where a > 0 and a ≠ 1.
exponential is how much something increases by the way, tell me if this helps

Due tomorrow help please

Answers

First differences are ...
  41 -39 = 2
  43 -41 = 2
  45 -43 = 2
These are all the same, so 2 is the common difference of the arithmetic sequence beginning with 39.

The Nth term is
[tex]a_{n}=a_{1}+(n-1)d\\a_{n}=39+2(n-1)\\a_{n}=37+2n[/tex]
The problem statement seems to ask for the 10th term and for a15. Here they are.
[tex]a_{10}=37+2\cdot 10=57\\a_{15}=37+2\cdot 15=67[/tex]

What are the inputs of the function below?
Please help

Answers

The correct answer is: -8 2 4 6 (third option)

Explanation:

The function declaration is f(x) where x represents the input. The input in the table given is the row labeled with x. Hence the inputs are -8 2 4 6 as shown in the table. So the correct option is Option (C) -8 2 4 6.

-i


Answer:

Input of the function are -8,2,4,6

Step-by-step explanation:

Input of a function are the domain .

Domain is the values of x. So inputs are the value of x in the table

Input of the table is x and output is f(x)

Input are the values that gives the output f(x)

From the table the x values are -8,2,4 and 6

Input of the function are -8,2,4,6

Tan α = - 4/3 lies in quad 2, and cos β = 2/3 lies in quad 1 find
a. cos(α + β)
b. sin( α+β)
c. t...

Answers

Recall some identities:


[tex]\cos^2x+\sin^2x=1[/tex]

[tex]\tan^2x+1=\sec^2x=\dfrac1{\cos^2x}[/tex]


[tex]\cos(\alpha+\beta)=\cos\alpha\cos\beta-\sin\alpha\sin\beta[/tex]


[tex]\sin(\alpha+\beta)=\sin\alpha\cos\beta+\cos\alpha\sin\beta[/tex]

Not sure what part (c) is asking for, but I assume it's [tex]\tan(\alpha+\beta)[/tex], in which case


[tex]\tan(\alpha+\beta)=\dfrac{\sin(\alpha+\beta)}{\cos(\alpha+\beta)}[/tex]


If [tex]\tan\alpha=-\dfrac43[/tex], then

[tex]\dfrac1{\cos^2\alpha}=1+\left(-\dfrac43\right)^2=\dfrac{25}9[/tex]
[tex]\implies\cos\alpha=\pm\dfrac35[/tex]

We know that [tex]\alpha[/tex] lies in quadrant 2, i.e. [tex]\dfrac\pi2<\alpha<\pi[/tex], so we expect [tex]\cos\alpha<0[/tex]. So we take the negative root. We also find that

[tex]\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}\iff-\dfrac43=\dfrac{\sin\alpha}{-\frac35}\implies\sin\alpha=\dfrac45[/tex]

If [tex]\cos\beta=\dfrac23[/tex], then


[tex]\sin^2\beta=1-\left(\dfrac23\right)^2=\dfrac59\implies\sin\beta=\pm\dfrac{\sqrt5}3[/tex]


Since [tex]\beta[/tex] lies in quadrant 1, i.e. [tex]0<\beta<\dfrac\pi2[/tex], we know that [tex]\sin\beta>0[/tex], so we take the positive root.


Now,

[tex]\cos(\alpha+\beta)=-\dfrac35\cdot\dfrac23-\dfrac45\cdot\dfrac{\sqrt5}3=-\dfrac52-\dfrac4{3\sqrt5}[/tex]


[tex]\sin(\alpha+\beta)=\dfrac45\cdot\dfrac23+\left(-\dfrac35\right)\cdot\dfrac{\sqrt5}3=\dfrac8{15}-\dfrac1{\sqrt5}[/tex]

Then it follows that


[tex]\tan(\alpha+\beta)=\dfrac{\frac8{15}-\frac1{\sqrt5}}{-\frac52-\frac4{3\sqrt5}}=\dfrac{54-25\sqrt5}{22}[/tex]

Point X is the center of regular pentagon RSTUV. What is the measure of the angle of rotation that will map S onto U?

Answers

Final answer:

The measure of the angle of rotation that will map vertex S onto vertex U in a regular pentagon is 72 degrees.

Explanation:

The student is asking about an angle of rotation in a geometric context, specifically concerning mapping one vertex of a regular pentagon onto another through rotation about the center of the shape. In a regular pentagon, the angles between adjacent vertices are all equal, as it is a symmetrical shape. Since there are five vertices in a pentagon, you can divide the full rotation of 360 degrees by the number of vertices to find the angle of rotation that will map one vertex onto the next.

To map vertex S onto vertex U in a regular pentagon, you will need to rotate the pentagon by 360 degrees divided by 5 vertices, which is 72 degrees. Therefore, a rotation of 72 degrees around the center point X of the pentagon will map S onto U.

The cylinder below has a volume of 785 ft^3. and the cone has a volume of 314 ft^3.
(please see attached picture)

Which explains which figure has the greater height?
The cylinder has a greater height because the bases are the same, but the cylinder has a greater volume.
The cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone.
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 4 times the volume of the cone.

Answers

Answer:

The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.

Step-by-step explanation:

Just did the quiz

2. Which of the following is equivalent to 5455 cm3?
(
0.5455 L

5.455 L

54.55 L

5455 L

Answers

good day ^-^ ///////////////

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial investment, Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years. Given that no additional deposits are made, compare the balances of the two accounts after the interest period ends for each account. (round to the nearest dollar)

Answers

Brian will get 40,000 then Chris will get 70,000

Compound interest formula is  [tex]A = P(1+r)^t[/tex]

Where P is the principal amount

r is the rate of interest

t is number of years

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years

P = 10,000  , r= 4% = 0.04 , t =10

Plug in all the values

[tex]A = 10000(1+0.04)^{10}[/tex] = 14,802.44

Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

P = 10,000  , r= 7% = 0.07 , t =5

Plug in all the values

[tex]A = 10000(1+0.07)^5[/tex] = 14,025.52

Brian balance  after the interest period = $ 14,802.44

Chris balance  after the interest period = $ 14,025.52

Balance in Brian's account is more than Chris account


A student takes a 15 question
a. True
b. False quiz and guesses at every answer. what is the probability that the student gets exactly 10 questions right, given that the student got the first question right?

Answers

1/2^9 given that the first question is already known as correct 

Jacob drove from town a to town b at an average rate of x miles per hour, then returned along the same route at y miles per hour. if he then drove back to town b at z miles per hour along the same route, what was jacob's average rate of speed for the entire trip, in miles per hour?

Answers

Average speed = (total distance traveled)/(total travel time)
= (total distance)/(time of 1st journey + time of 2nd journey + time of 3rd journey)

Let d = the distance between Town A and Town B
So, total distance traveled = 3d

Time = distance/speed
time of 1st journey = d/x 
time of 2nd journey = d/y
time of 3rd journey = d/z

Total time = d/x + d/y + dz
To simplify, rewrite with common denominator: dyz/xyz + dxz/xyz + dxy/xyz
So, total time = (dyz + dxz + dxy)/xyz

Average speed = (total distance)/(total time)
= 3d/[(dyz + dxz + dxy)/xyz]
= (3dxyz)/(dyz + dxz + dxy)
Divide top and bottom by d to get: (3xyz)/(yz + xz + xy)



A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex.

Which terms describe the degenerate conic section that is formed?

Select each correct answer.


pair of intersecting lines

degenerate ellipse

degenerate hyperbola

line

point

degenerate parabola

Answers

It is both of ...
  pair of intersecting lines
  degenerate hyperbola

Answer:

degenerate hyperbola

pair of intersecting lines

Step-by-step explanation:

Help on both 13 and 14. Show work please

Answers

13. Picture is cut off. Insufficient information is shown.

14. ST = 2×(XY)
  8z +3 = 2(3z +2)
  2z = 1
  z = 1/2

need help i havent done this since 2015 :// lolz

Answers

21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
  m∠R = m∠P = 180° -m∠Q
  m∠Q = 107°
  m∠P = 73°

25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.

27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
  2w+4 = 5w-6 . . . . w = 10/3
  12 = 3x-3 . . . . . . . x = 5
  6y = 4y+6 . . . . . . . y = 3
  27 = (5/4)z +2 . . . z = 20

Answer:

2w+4 = 5w-6 . . . . w = 10/3

 12 = 3x-3 . . . . . . . x = 5

 6y = 4y+6 . . . . . . . y = 3

 27 = (5/4)z +2 . . . z = 20

107 and 73

What is the 12th term of the sequence?
3, −9, 27, −81, 243, ...

Answers

Final answer:

The 12th term of the sequence 3, -9, 27, -81, 243, ... is 177,147.

Explanation:

The given sequence is: 3, -9, 27, -81, 243, ...

To find the 12th term, we can observe that the sequence alternates between positive and negative, and each term is obtained by multiplying the previous term by -3. Starting with 3 as the first term, we can find the 12th term using the formula:

an = a1 * (-3)n-1

Substituting the values, we have:

a12 = 3 * (-3)12-1a12 = 3 * (-3)11a12 = 3 * (-32)5a12 = 3 * 95a12 = 3 * 59049a12 = 177,147

Final answer:

The 12th term of the geometric sequence is -531441, found by using the formula for the nth term of a geometric series with a first term of 3 and a common ratio of -3.

Explanation:

The sequence given is geometric with each term being multiplied by -3 to obtain the next term. To find the 12th term of the sequence, we can use the formula for the nth term of a geometric sequence: Tn = a * rn-1, where a is the first term, r is the common ratio, and n is the term number.

For the given sequence, the first term a is 3 and the common ratio r is -3. The 12th term is found by placing these values into the formula:

T12 = 3 * (-3)12-1

T12 = 3 * (-3)11

T12 = 3 * (-177147)

T12 = -531441

Therefore, the 12th term of the sequence is -531441.

Divide. Give the quotient and remainder.

55 Divided by 8

Answers

55=8x6+7
therefore, quotient=6
remainder =7

order them from least to greatest, with the least at the top.
6\pi -6

\pi 3

\sqrt{99}

Answers

If I did this correctly, here it is!


/sqrt{99} : 9.94

6/pi - 6 : 12.85

/pi 3 : 31

Sorry if it was incorrect, I am bored haha 


Arranging the numbers in ascending order is: √99 < 6π - 6 < π³

How to arrange the numbers in ascending order?

Arranging numbers in ascending order simply means arranging them from smallest to the biggest.

Now, the given numbers are:

6π - 6

π³

√99

Let us simplify the numbers to get:

6π - 6 = 6(3.14) - 6 = 12.85

π³ = 3.14³= 31

√99 = 9.95

Thus, arranging in ascending order is:

√99 < 6π - 6 < π³

Read more about Ascending Order at: https://brainly.com/question/1094377

#SPJ3

Other Questions
A system of measurement that uses multiples and sub-multiples of ten is known as a ___________ system of measurement. Maddy, Carole, and Maria are enjoying a day at the beach. They are body surfing and playing on their boards. Imagine that wave A catches up with wave B. Describe the change, if any, in wave amplitude. In this figure, angle 3 = (2x+15) and angle 6 = (3x+10)What value of x makes a || b? Students are asked to read a passage and decide the best alternative wording in the______ section of the aspire test One reform Khrushchev instituted was to? Which of the following affects the speed of a planet's revolution? Shape of the planet Gravity of the sun Temperature of the sun Atmosphere of the planet If you withdraw $100 from your checking account and put it in your savings account, A. M1 decreases by $100. B. M2 increases by $100. C. M1 decreases by $100 and M2 increases by $100. D. M2 decreases by $100 and M1 increases by $100. E. there is no immediate change in the money supply. (Sociology) Why do sociologists say that race is socially constructed? A.Because there are only three accepted categories of race in the world B.Because race only exists when people decide that there are differences between people C.Because the difference between physical traits is universally accepted D.Because it is easy to place people into categories based on hair, skin color, and other physical traits the circumference of an Oreo is 6.28 inches what is the area of the top cookie? What is an environment sculpture? a. A group of interrelated objects that exist together in a space. b. A sculpture that has an integral relationship with the particular site where it exists. c. A sculpture that has a relationship with its surroundings. d. A form of site specific sculpture, which is designed to affect the way the space is experienced. Calculate the taxes based on the following taxable income amounts I really need help on this fast please!I need the estimated taxes for each problem at the bottom is the table needed. 1) income of 90,714.002) income of 63,036.003) income of 220,596.004) income of 166,904.005) income of 220,770.006) income of 97,266.007) income of 207,264.008) income of 479,956.009) income of 511,195.0010) income of 511,104.0011) income of 212,817.0012) income of 435,045.0013) income of 655,952.0014) income of 739,334.0015) income of 322,335.00 Income range TaxesFrom To Tax rate. Plus0.00 8,925.00 10.0%. 8925.00 36,250.00 15.0% 892.5036,250.00 87,850.00 25.0% 5,437.5087,850.00 183,250.00 28.0% 21,962.50183,250.00 398,350.00 33.0% 51,310.00398,350.00 400,000.00 35.0%. 131,455.50400,000.000 - 39.6%. 140.000.00 Below is the graph of y=b^x. Find b. In both the priceless and priceless cities campaigns, mastercard's first step was to Lobsters are invertebrates with a hard protective exoskeleton. Like most arthropods, lobsters must molt in order to grow, which leaves them vulnerable. During the molting process, several species change color. Lobsters have 10 walking legs; the front three pairs bear claws, the first of which are larger than the others. Although, like most other arthropods, lobsters are largely bilaterally symmetrical, some possess unequal, specialized claws. Lobsters, like snails and spiders, have blue blood due to the presence of haemocyanin which contains copper. Maybe there are other animals that have blue blood as well.(Adapted from Wikipedia) Which sentence is unnecessary and could be eliminated without disturbing the flow and information of the paragraph?A)Maybe there are other animals that have blue blood as well.B)Lobsters are invertebrates with a hard protective exoskeleton.C)Like most arthropods, lobsters must moult in order to grow, which leaves them vulnerable.D)Lobsters, like snails and spiders, have blue blood due to the presence of haemocyanin which contains copper. how to tell whether its a prime or composite number A substitute is a good that is _____ another good, and a complement is a good that is _____ another good.a. produced in place of; sold withb. consumed in place of; produced withc. consumed in place of; consumed together withd. consumed together with; consumed in place of To conjugate verbs in the conditional tense, you add the following endings to the Identify three hormones that contribute to the start of puberty Last year 40 people adopted a manatee through Fia's Foundation.This year 30% more people adopted a manatee. How many more people adopted a manatee this year ? You own a coffee shop where a cup of coffee costs $2.10. Your cost on the cup of coffee is $0.30. Calculate the margin per cup of coffee.