I NEED THIS FOR A TEST PLZ HELP!!!
2 answers:
Answer:
A. 2x is correct.
Step-by-step explanation:
Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).
BC = √(8-5)² + (8 - 7)²
BC = √10
ST = √( 7 - 1)² + ( 13 - 11)²
ST = 2√10
Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2
This means that the image, ST, is twice as large as the pre-image BC.
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Answer:
e. 0.0072
Step-by-step explanation:
We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .
Let Z = ~ N(0,1) where, Xbar = mean contents of six randomly
selected bottles
n = sample size i.e. 6
So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)
P(Xbar < 295) = P( <
) = P(Z < -2.45) = P(Z > 2.45)
Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .
Therefore, option e is correct .