A. X ~ N(66, 6.25)
b.
Using a standard normal probability table to find probability values for the z-scores, we get:
P(65 < X < 69) = 0.1554 + 0.3849 = 0.5403
c. z= 0.524 and -0.524
1.31 = X - 66
X = 67.31
When z = -0.524, X = 64.69.
P(64.69 < X < 67.31) = 0.4
Answer:
C, 7 1/2
Step-by-step explanation:
12 is 2/3 of 18, therefore 5 is 2/3 of something, so you divide 5 by 2/3 which is 15/2 which is 7 1/2
Answers:
Common angles: ΔBGC and ΔGDC
Common sides: ΔGE and ΔAG
A common angle is a triangle that exists in two or both of the triangles.
Here, the common angles should be ΔBGC and ΔGDC.
These two angles are triangles, and they consist in both triangles.
A common side is when two angles have one vertex in the same area.
Here, we see that the common sides are ΔGE, because they intersect.
Another common side we see here is ΔAG, because they also intersect.
Hope this answer helps you!
Answer:
(a - b)^2 = 49 - 4b^2 +2ab
Step-by-step explanation:
Given: a^2 + b^2 = 7b (assuming A is really “a”)
b^2 + (2b - a)^2 = 7^2
Find; (a - b)^2
Plan: Use Algebraic Manipulation
Start with b^2 + (2b - a)^2 = 7^2 =>
b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.
a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms
a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>
a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2
(a - b)^2 = 49 - 4b^2 +2ab
Double Check: recalculated ✅ ✅
(a - b)^2 = 49 - 4b^2 +2ab
It's <span>0.72 yards.
1 = 0.02
so 26*0.02=0.72</span>
