Answer:
The critical value of F for this situation is 2.975.
Step-by-step explanation:
A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.
The groups are divided as follows:
- Three groups of 8 rats each are injected with one of three different doses of smartozine.
- The fourth group of 6 rats is injected with a saline solution as a control.
So, there were in total <em>k</em> = 4 groups with <em>n</em> = 30 rats.
The significance level of the test is, <em>α</em> = 0.05.
Compute the critical value of <em>F</em> as follows:

*Use the <em>F</em>-table.
Thus, the critical value of F for this situation is 2.975.
Y-9 + y/2 = 180
Add nine to each side
y+y/2=189
Multiply each side by two
2y+y=378
Add the y's together
3y=378
Divide it all by three
y=126
so, Angle B is 126 degrees
I hope that helps!
Y = mx + b
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:

Now we have everything we need to put into our formula for a line:


For number 16 you should get:

after you do the same steps again yourself
Answer:
x ≈ 4.8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle measure = 58°
Adjacent side of angle = <em>x</em>
Hypotenuse = 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [cosine]: cos58° = x/9
- Isolate <em>x</em>: 9cos58° = x
- Evaluate: 4.76927 = x
- Rewrite: x = 4.76927
- Round: x ≈ 4.8