F. The student is conducting a nutrition experiment using lab rats. One group (control group) is fed a normal diet, while the other group (experimental group) is fed a diet high in protein. There were 30 rats total used in the experiment. At the end of the experiment, the average mass (weight) of a rat in the control group was 60.4 g while the average mass (weight) of a rat in the experimental group was 0.0689 kg. What is the average difference in weight between the two groups in grams

Question says find the average difference in weight between two groups in grams but first we should know that unit of weight cannot be the gram because it is the unit of force while gram is the unit of mass of a body.

Here due to confusion between, I am going to explain basic difference between mass and weight. Also, I find both average difference in weight as well as mass.

Average difference in Weight=41.65units

Average difference in Mass=4.25g

Step-by-step explanation:

Mass:

Weight:

Given:

The average mass of a rate in control group is =m1= 60.4g

The average mass of a rat in experimental group is =m2= 0.0689kg

Required:

A) Average difference in mass=?

B) Average difference in weight=?

Solution:

To find the difference first we need to make the units same as grams.

m1=60.4g

m2=0.0689kg=0.0689*1000=68.9g (1kg=1000g)

A) Average difference in mass=?

Average difference in mass= the difference in average masses of two groups.

Average difference in mass= =

B) Average difference in weight=?

As we know

weight=w=mg (g=gravitational force=9.8)

w1=m1g=60.4*9.8=591.92

w2=m2g=68.9*9.8=675.22

Thus, Average difference in weight of two groups=

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

what is the information provided?

step-by-step explanation: