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Ket [755]
2 years ago
14

PLEASE HELP!!!!!!!!!!!!!!!

Mathematics
1 answer:
Margaret [11]2 years ago
5 0
A) Sweater sales negatively correlate with temperature as temperature rises, sweater sales fall
b) Regression line equation: y= - 0.3747x + 11.598
You might be interested in
louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0
2 years ago
Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers
Harman [31]

Answer:

The appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

3)

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

<em>y</em> = 31.594 - 2.8365 <em>x</em>.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, <em>r</em> = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

3 0
2 years ago
Solve this questions with steps
Alex_Xolod [135]
Provide better info thanks
4 0
2 years ago
Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will
soldi70 [24.7K]

Answer:

For 30 years at 5% = $354,625.2

For 20 years at 4.5% = $278,618.4

Step-by-step explanation:

The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).

1) For 30 years at 5%

Total number of months in 30 years = 30 x 12 = 360 months

Payback = $985.07 x 360 = $354,625.2

2) For 20 years at 4.5%

Total number of months in 20 years = 20 x 12 = 240 months

Payback = $1160.91 x 240 = $278,618.4

5 0
2 years ago
Read 2 more answers
At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minute
alexdok [17]

Answer:

16:27

Step-by-step explanation:

GIVEN: At 11:00\text{ A.M.}, there are 400 members and 150 non-members visiting a museum. After 11:00\text{ A.M.},  10 members leave every five minutes and 5 non-members arrive every five minutes.

TO FIND: ratio of members to non-members at 1:00\text{ P.M.}

SOLUTION:

Total number of members in museum at 11:00\text{ A.M.} =400

as after every 5 minutes 10 members leave

total number of  5 minutes interval in 2 hour =\frac{60}{5}=12

total members at  1:00\text{ P.M.}  =400-10\times24

                                                =160

Total number of non-members in museum at  11:00\text{ A.M.} =150

as after every 5 minutes 5 non-members arrive

total number of  5 minutes interval in 2 hour =\frac{60}{5}=12

total non-members at  1:00\text{ P.M.}  =150+5\times24

                                                        =270

ratio of members to non-members at   1:00\text{ P.M.}  =\frac{\text{number of members}}{\text{number of non-members}}

                                                                                  =\frac{160}{270}

                                                                                  =\frac{16}{27}

Hence the ratio of members to non-members at 1:00\text{ P.M.} is \frac{16}{27}

5 0
2 years ago
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