There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

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

Given:
- Original price of the recliner: P
- Sale price (30% less than the original price): 0.7P
- Coupon saves an additional 25% off the sale price: 0.75 *0.7P = 0.525P
- The consumer pays $237 for the recliner.

We set up the equation:
0.525P = 237

Now, let's solve for P:

P = 237 / 0.525}
P = 451.428

Rounded to the nearest dollar, the original price of the recliner is approximately 451dollars.

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.

In direct proportion relation, we utilize the relationship as:

Variable∝Variable 2

Thus from the given case,

Force∝stretch

We introduce a constant term, K to remove the sign of proportionality as

Force=K* stretch

Let’s find the value of K, using Force=132 N and stretch of 0.07 m

132 N=K*0.07 m

K=132 N/0.07 m=1885.7 N/m

Now substitute this value of K in the following equation

Force=1885.7 N/m * stretch

For a stretch of 0.1 m, the force needed is

Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N

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.

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.

Use the relation 1 teaspoon=4.93 mL to change 2.5 teaspoons to mL. Using the dimension analysis, the amount in mL is found as:

Organize the date set from the smallest to the largest as:

-3, -2, 0, 5, 10

Median means one that is at the middle, and from the above-given data set, 0 falls at the middle.