Answer:
2x+23
Step-by-step explanation:
The perimeter of a triangle is calculated by adding the sum of all sides.
Therefore, in the given problem, the perimeter will be:
Perimeter = 21-x + 2x-3 + x+5
= 2x+23
Step-by-step explanation:
Population Mean (u) = 3.50
Sample (n)= 36
Sample mean (x) = 3.60
Population standard deviation (s)= 0.40
Test statistics:
(Null hypothesis) H0: u= 3.5 (Population mean is equal to 3.5)
(Alternate hypothesis) H1: u> 3.5 (Population mean is greater than 3.5)
Z= = = = 1.5
critical value= Z0.05= 1.645 (From Z table)
Since, Z value is less than critical Z value that is Z<1.645
We cannot reject null hypothesis
So, we decide to reject that the mean GPA of graduates exceeds 3.50
A bird with roller blades.
Answer:
z = 55.15432893
x = 59.61543424
y = 22.5166605
Step-by-step explanation:
To find length "z" you will have to use SOHCAHTOA.
Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.
sin 45 =
z sin 45 = 39
z =
z = 55.15432893
Using Pythagoras' theorem, you can find that the adj = 39
In the other triangles POV, the adj is actually the opp.
Therefore, use tangent to find y.
tan 60 =
y tan 60 = 39
y =
y = 22.5166605
Use Pythagoras's Theorem to find x.
Answer:
3/12 or 1/4
Step-by-step explanation:
To find what is between, we have to use the formula:
x + y= z
z/2 = midpoint!
So, we can do that with this number.
1/6 + 2/6 = 3/6. We could simplify it, but let’s keep it at 3/6
3/6 divided by 2 = 3/6 · 1/2 = 3/12
So, the midpoint would be 3/12.