The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?

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.

To find a solution to this, we need to find the change in spending between the year 2013 and 2015 for each country. Change is difference in amount spent in 2015 and 2013 for each country:

Sudan=$(24-17)= $7

Eritrea=$(42-56)= - $14

Nigeria = $(21-16)= $5

Tanzania =$(81-68) = $13

Rwanda = $(24-27) =-$3

Kenya = $(88-81) = $8

A Minus sign means a decrease in spending. From the above calculations, Eritrea had the GREATEST change in dollars spent while Rwanda had the LEAST change in dollars spent.

To solve this problem, we need to find the mean, mode, and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

The mean of data is the total divided by the number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So the median average of the two elements=(3+7)/2=5

Now the data could be presented as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

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

We use the relation 1 kg=1000 g to convert 3.193 kg to g

Let two numbers be x and y. Then

Three time a number=3x

Eight times a different number = 8y

Sum of the two is 3x+8y

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.

Convert 5 ¼ into improper faction as follows

So, the percent equivalent is:

100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is

Thus, 152 students joined the respiratory care program.

The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.