Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
Answer:
i think its a
Step-by-step explanation:
sorry if im wrong just stressd out. good luck.
Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
This is B.SAS (side angle side)