Answer:
2.25
Step-by-step explanation:
The total frequency is:
20 + 12 + 6 + 2 = 40
Calculate the probability of each score:
P(X=3) = 20/40 = 0.50
P(X=2) = 12/40 = 0.30
P(X=1) = 6/40 = 0.15
P(X=0) = 2/40 = 0.05
So the expected value is:
E = (3)(0.50) + (2)(0.30) + (1)(0.15) + (0)(0.05)
E = 2.25
Answer:
4-25
Step-by-step explanation:
Answer:
hello! i can answer in the comments if you tell me what the lengs are and where they are located! i cannot see the picture due to my school computer blocking images on the site so that's why i need the explanation. thanks :>
Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
Answer:
WX = WZ
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove the congruence of the triangles
Congruence by SAS means 1 angle and 2 sides of each triangles are equal.
The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS
Both triangles share line WY.
So, WY = WY
Lastly, to complete the proof, lines WX must equal line WZ
