Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31

Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81

Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31

Using calculator and treating temperature and growth data as samples :

Temperature :

Mean : ΣX/n

n = sample size

Mean temperature (m) = 211.45 / 7

Mean temperature = 30.21°C

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.403

Growth:

Mean : ΣX/n

n = sample size

Mean growth (m) = 17.38 / 7

Mean growth = 2.483 mm/yr

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.161

Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.

The intercept of the graph = 17.812

The slope of the relationship : -0.504


Related Questions

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the

same section of the trip is displayed below.

Who had a head start, and how many miles was the head start?

Rita's Drive

y

(4, 288)

280-

Roger's Drive

240

Time (hr)

Distance (mi)

(3,223)

200-

1

65

160-

• (2, 158)

2

130

Distance (mi)

120-

3

195

(1,93)

80-

4.

260

40-

0

0

Time (hr)

Who Had the head start?

Answers

Answer:

hello your question is poorly written and the required options to the question is missing

options :  

Rita had a 28-mile head start.

Roger had a 26-mile head start.

Roger had a 25-mile head start.

Rita had a 22-mile head start.

Answer : Rita had a 28-mile head start

Step-by-step explanation:

From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles

Answer:

a

Step-by-step explanation:

edge 2021

what equation is modeled by the graph below?

Answers

Answer:

B. -5/12

Step-by-step explanation:

Answer:

B.5/12

Step-by-step explanations:

List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}

please help!

Answers

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

please help .. i have toxic parents and they yell at me ... and i already have like 6 missing assignemnts soo can someone please answer these questions .

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?

3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?

4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?

5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile

Answers

Answer:

1. 0.625 inch

2. 58 feet per second

3. 202.5 meters

4. 8.333 miles

5. 0.4 hour or 24 minutes

Step-by-step explanation:

^^^

Answer:

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? (.625 inches)

2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?   (58 feet)

3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?  (202.5 meters)

4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour? (8.3 miles)

5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile? (.0416)

Step-by-step explanation:

For #1.) 15 divided by 24 which equals 0.625

For #2.) divide 145 by 2.5

For #3.) time 4.5 by 45

For #4.) divide 25 by 3

For #5.) divide 10 by 4 then 2.5 by 60 to get .0416

Haseem was given the following enlargement.
6 cm
3 cm
5 cm
22.5 cm
Figures not drawn to scale.
What is the perimeter, in centimeters, of the enlarged triangle?
0 13.5
27
O 49.5
63

Answers

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

|-9×+7|+8 is less than or equal to 9​

Answers

Answer:

I don’t think it’s neither less than it equal

Step-by-step explanation:

I could be wrong don’t listen to me :)

3.89×10^9 in standard form​

Answers

Answer:

3890000000

Step-by-step explanation:

4 sinA + 5 sinA what is the answer of it​

Answers

Answer:

9 sinA

Step-by-step explanation:

Adding them is all you can do to simplify.

Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g​

Answers

Answer: 10

Step-by-step explanation:

if u take -6 and add it to 9 and 7 u get 10

Rosita is making pizzas for a party. Each pizza requires 1 cups of sauce and 1 cups
of cheese. How many whole pizzas can Rosita make if she only has 8 cups of sauce
and 132 cups of cheese?

Answers

Answer:

8 pizzas

Step-by-step explanation:

I cAn Do mAtH!!

Answer:

She can only make 8 pizzas.

Step-by-step explanation:

She only needs 1 cup of sauce and 1 cup of cheese. She has 8 cups of sauce, so she can only make 8 pizzas. What can she do with all the cheese in her refrigerator? Hmmmmm...

Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each position, there is no way to define probability density because I can’t calculate the probability at just one point."

Answers

Answer:

I disagree with the statement.

Step-by-step explanation:

Speed of the ball is different at each position:

This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.

There is no way to define probability density because i can't calculate the probability at just one point:

This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.

A - B,   B - C,   C - D and so on.

So, probability density is used when you cannot the probability at just one point.

ASAP PLZ HELP WITH THIS QUESTION I WILL MARK U AS BRAINLIST

Answers

Answer 35 cubic ft Explanation: 3.5•5•2 3.5 is the width, 5 is the heigh, and 2 is the heigh only including the sand

Answer:

............................

Step-by-step explanation:

an equivalent ratio to the tape diagram shown is to​

Answers

What’s the question? I kind of need a picture to do the question

Answer:

it is 16 to 32

Step-by-step explanation:

if you divided 16 by 8 and 32 by eighth you get 2:4

The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?

Answers

Answer:

20.8333333

Step-by-step explanation:

6 x 20.8333333 = 125

1.Find the product of 419 and 321. ​

Answers

Answer:

134499

Step-by-step explanation:

When someone asks for the product of something they are saying multiply the two values.

So,

419 x 321 = 134,499

Answer:

$134,499

Step-by-step explanation:

The product is the result of two numbers that are multiplied. In this case 419 and 321.

419 x 321 = 134,499

Combine Like Terms. -13x + 14a - 12x + 7x - 4x *

Answers

Answer:

4a - 22x

Step-by-step explanation:

-13x +14a - 12x + 7x - 4x = 4a - 22x

hope this helps :)

what is the coefficient of the term 12p in the expression 12p+9q​

Answers

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12,

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .

Answers

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

Given

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

To know more about Flux click the link given below.

https://brainly.com/question/5932170

Y intercept of y=(x+2)2-1

Answers

Answer:

It is -1.

Step-by-step explanation:

To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.

Hope that helps!

Answer:

actually the answer is 3

Step-by-step explanation:

the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.

Can someone please explain how to do this? Iʻm not sure.

Answers

This is the answer hope you get it :)
28 = -7/5y (cross multiply)
28*5 = -7y
140 = -7y (divide both sides by -7)
140/-7 = -7y/-7
-20 = y
y = -20

For the expression 5-5x to have a negative value, what must be true about the value of x?

Answers

Answer:

x>1

Step-by-step explanation:

let's make this an inequality.

5-5x<0

let's solve.

-5x<-5

x>1

therefore, the value of x must be larger than 1 for this statement to make sense.

The value of x has to be greater than 1 in order for the expression to make sense.

Zales was having a 60% off sale on all rings. Also if you shopped on Wednesdays, you got an extra 10% off. How
much would a $899.00 ring cost on Wednesday?
(Round to the nearest penny and label your answer $).

Answers

Answer:

it will be 199.00 dollors you have to spend

Step-by-step explanation:

899.00-70

Henry buys a bag of 15 tangerines for $2.85.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Please help with this

Answers

Answer:

.19 cents per tangerine

Step-by-step explanation:

.19 x 15 = 2.85

Write the expression using exponents.

a⋅a⋅c⋅c

Answers

The expression using exponents we can rewrite as [tex]a^2 . c^2[/tex] .

What are exponents ?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as [tex]2^3[/tex] ) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal [tex]2^3.[/tex] Keep in mind that a number raised to the power of one is itself.Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.The key distinction is that an exponential function has its variable in the exponent, but a power function has its variable in the base.

To learn more about   exponent refer,

https://brainly.com/question/847241

#SPJ2

The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.

Answers

Answer:

The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Step-by-step explanation:

Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.

It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.

Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.

That is,

P (X) = 0.0122

Texas Instruments has sold 75 million graphing calculators world- wide.

Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:

E (X) = n × P (X)

        = 75 × 10⁶ × 0.0122

        = 915000

Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Due today HELP PLEASEEEEE!!!

Answers

Answer:

Oiiiiio ka cha thik cha

estimate the quotient of 9 1/3 ÷ 2 3/4

Answers

The estimated quotient is 3. This is because 9 1/3 rounds to nine and 2 3/4 rounds to 3.

Answer:

The quotient gives: 3  13/33

Step-by-step explanation:

We start by converting the mixed numbers into improper fractions, since we can easily divide fractions.

the number 9 1/3  can be written as: 27/3 + 1/3 = 28/3

the number 2 3/4 can be written as: 8/4 + 3/4 = 11/4

Now we can divide them using the properties of dividing fractions:

28/3 divided by 11/4 = 28/3 * 4/11 = 112/33

which in mixed number form is : 99/33 + 13/33 = 3  13/33

57. Designing a Patio Suppose that you wish to build a
rectangular cement patio that is to have a perimeter
of 80 feet. The length is to be 5 feet more than the
width.
(a) Find the dimensions of the patio.
(b) If the building code requires that the cement be
4 inches deep, how much cement do you have to
purchase?

Answers

Answer:

A. dimensions

Step-by-step explanation:

it's the first thing you will need to find out I beleave.

-A................................

yeahyeahyeahyeahyeahyeahyeah

Answers

the answer is yea yea yea yea yea

what is 32221 x444444444444

Answers

Answer: 1.43

Step-by-step explanation:

Answer:

1.432044444444301e+17

Step-by-step explanation:

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