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Anettt [7]
3 years ago
14

Which pair of variables has a clear causal link between the two named variables?

Mathematics
2 answers:
levacccp [35]3 years ago
8 0
D. The numbers of notebooks sold and the number of pens sold in a stationery store
sertanlavr [38]3 years ago
7 0

Answer:

D. the number of air conditioners sold per day in a city and the daily temperature

Step-by-step explanation:

Let analyse all the possible answers:

A.  the number of hats sold and the number of mittens sold in a city

They show no relationship towards each other, both of them are independent variables. If you buy hats, you can buy mittens or not it is ok.

B. the amount of butter and the amount of bread consumed by a family

They show no relationship towards each other, both of them are independent variables. If you buy bread, you can eat it with jams, without butter is fine.

C. the number of notebooks sold and the number of pens sold in a stationery store

They show no relationship towards each other, both of them are independent variables. I can use pencil to write on that notebooks, do not need to buy pens.

D. the number of air conditioners sold per day in a city and the daily temperature

They show a strong relationship towards each other, the daily temperature is the independent variable and it makes people want to buy air conditioners (dependent variable)

E. the number of hours a person can swim and the depth of the pool

They show no relationship towards each other, both of them are independent variables. The number of hours a person can swim depends on their ability.

So we choose D.

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What is the value of |-9|?
Oliga [24]

Answer:

9

Step-by-step explanation:

absolute value essentially just means get rid of the sign, it will always be positive

3 0
3 years ago
Read 2 more answers
Pete adds 78 to the fata set below. 20,32,32,45,50. Which statement below will be true?
ozzi

Answer:

the inter-quartile range will increase

Step-by-step explanation:

The initial data-set was;

20,32,32,45,50

Adding a new value 78 will have several effects;

The mean of the new set of values will increase since 78 is mostly likely to be an outlier.

The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5

The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.

The inter-quartile range just like the range will increase

4 0
3 years ago
Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
PLEASE HELP! I ONLY NEED TO DO 3 MORE ASSIGMENTS AND I'M STUCKKK!
777dan777 [17]

Answer:

40

Step-by-step explanation:

(11 + 4) / 3 * sqrt(64) =

= 15/3 * 8

= 5 * 8

= 40

6 0
3 years ago
Read 2 more answers
10. Create a scenario to explain why 3P3=3!.
Flauer [41]

Step-by-step explanation:

Permutation :The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

                                  nPr = \frac{n!}{(n-r)!}

Factorial : There are n! ways of arranging n distinct objects into an ordered sequence.  

Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.

Proof: 3P3 = 3!

n = 3 and r = 3

                                   3P3 = \frac{3!}{(3-3)!}

                                   3P3 = \frac{3!}{(0)!}

But 0! = 1

                                    3P3 = 3!

3 0
3 years ago
Read 2 more answers
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