Which of the following relationships represents a positive correlation between two variables?

in the given problem, we use the calculator to find 1.3*0.47=0.611

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a negative correlation

Option c is a negative correlation

Option d is a positive correlation

the question requires we find the cost of two syringes.

If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes

Cross-multiply to solve for x

Rearranging the above

Divide both sides by 35

The cost of 2 syringes is $32.

we use given information to find how much ammonia is need to make the specified solution.

We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:

1 gallon of solution6 oz of ammonia

Or

6 oz of ammonia1 gallon of solution

Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 720 oz of ammonia.

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.

Total distance=4+4=8 miles

Total time=28+32 =60 minutes

From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.

So, the athlete covers 1 mile in 7.5 minutes.

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below

Let the unknown length be x.

Applying the Pythagoras theorem, the value of x is found as:

\(a ^2 +b ^2 =c ^2\)

The unknown length of the triangle is approximately 8.9 feet.

we are needed to find the portion of pizza shared by 3 three friends. We treat the whole pizza as 1. Now, 1 friend eats half of the whole pizza. Thus,

One friend=1/2 of 1=1/2*1=1/2

Remaining amount=1-1/2=2/2-1/2=1/2

Thus, ½ of pizza is left for three friends to share among themselves. Then, each friend will get

So, the other three friends will each get 1/6 of the pizza.

we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.

34÷96=

3/8=3/8

0.372=372/1000

37%=37/100

Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:

17/48*6000=2125

3/8*6000=2250

372/1000*6000=2232

37/100*6000=2220

From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48.  Thus, the greatest value is 3/8.

To solve this equation, we use a calculator and find the product as:

2.50*0.25=0.625

: we are to find the selling price of the sweater after subtracting the mark off price.

Mark off value=mark off rate*original price

Mark of value=25%*$87

We convert 25% into a fraction, which become 25/100=0.25. Then

Mark of value=0.25*$87=$21.75

The selling price of the sweater will be the original price less the mark off value. Then,

Thus, the approximate selling price of the sweater is $65.