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Mashcka [7]
2 years ago
6

How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures

and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. Scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in centimeters per year) over a several‑year period at locations in the Gulf of Mexico and the Caribbean. The table shows the data for the Gulf of Mexico.
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth 0.85 0.85 0.79 0.86 0.89 0.92

-Use software to find the mean and standard deviation of both sea surface temperature and growth and then find the correlation between and . Enter your answers in the answer fields using the specific decimal place precision noted.

¯ (rounded to four decimal places)=
(rounded to four decimal places)=
¯ (rounded to two decimal places)=
(rounded to four decimal places)=
(rounded to four decimal places)=

-Use these basic measures to find the equation of the least‑squares line for predicting from . Give the slope and the intercept, rounding both to four decimal places.
slope=
intercept=
-Choose the best explanation that describes in words what the numerical value of the slope tells you.

a) Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.

(b) Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.

(c)Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.

(d) Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

The correlation coefficient tells that every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Using technology

The mean= x bar = 26.4667

The mean = y bar= 0.86

The standard deviation= Sx= 0.2251

The standard Deviation Sy=  0.0438

The Correlation Coefficient= r = -0.8111

The slope= b= r* Sy/Sx= -0.15789

The intercept is 5.0389

(d)<u><em> Every increase </em></u>in sea <u><em>surface temperature</em></u> of one degree Celsius will result in an average of <em><u>0.1578 fewer</u></em> centimeters of <em><u>coral growth</u></em> per year.

Here the independent variable is X the sea surface temperature and dependent variable is the Y coral growth.

As the temperature decreases which is along x- axis the growth increases along y axis.

From the given options the option d is the best answer according to the question given.

The same values are calculated using different technology .

brainly.com/question/24183059

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Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : N(t)=N_0(1-r)^t

N_0=Initial population

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r = rate of decrease = 18% = 0.18

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So,the  strain would still be alive after 48 hours=40000(1-0.18)^{48}=2.91 \sim 3

Hence 3 strain would still alive after 48 hours

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3 years ago
6 feet<br> 12 feet<br> What is the area of the given composite shape?
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Answer:

choice A; 128.52 square feet

Step-by-step explanation:

This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.

The formula for area of a circle is \pi*r^{2}. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.

Since pi is infinite we round it to 3.14.

Plug in the values and our expression will be (3.14*6^{2})/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.

Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.

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A 12 oz bottle of shampoo last 16 weeks. How long would you expect an 18 oz bottle to last
jenyasd209 [6]
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.

Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:

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It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
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Answer: true

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