A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of are often used to measure larger areas. Given that 1 hectare = 10000 meters2, which of the following represents the soccer field’s are in hectares?

Change in weight of client=new -old=1072-841= 231

Percent change=change/old*100%=231/841*100%=27.47%

The percentage change increase is about 27%

Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.

A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:

People who play baseball more tend to have more hits is POSITIVE CORRELATION

Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION

Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION

Cars that are older tend to have higher mileage is a POSITIVE CORRELATION

We assume the pizza to be full representing 1. One friend eats ½ of 1=1/2

The remaining portion of the pizza=1-1/2=2/2-1/2=1/2

Three friends share equally ½ of the pizza=1/2÷3=12*13=1/6

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between the number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.

Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.

Now we know that

2x-2000=48000

Add 2000 to both sides of the equation

2x-2000+2000=48000+2000

2x+2000-2000=50000

2x=50000

Divide both sides by 2

X=25000

Thus, the friend pays $25,000 for their car.

Given the equation (x/y)-z=rw, we make x the subject of the formula as follows:

(x/y)-z=rw

Add z to both sides of the equation

(x/y)-z+z=rw+z

(x/y)=rw+z

Multiply both sides by y

(x/y)*y=y(rw+z)

X=y(rw+z)

Rearranging the equation results in:

X = y(z+rw)

To convert inches to centimeters, use the conversion factor:

1inch=2.54cm

Now, multiply:

7×2.54=17.78cm

Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION