Answer:
Option 2 is correct.
Step-by-step explanation:
Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.
Mid-point formula states that if and
are the coordinates of end points of line segment then the coordinates of mid-point are
∴ Coordinates of mid-point of line segment joining the points (3, 10) and (7, 8) are
Hence, option 2 is correct.
Answer:
Required Probability = 0.1283 .
Step-by-step explanation:
We are given that at Meadow brook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz.
Firstly, standard deviation in lbs = 14 ÷ 16 = 0.875 lbs.
Also, Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution.
Let X = mean weight of the babies, so X ~ N()
The standard normal z distribution is given by;
Z = ~ N(0,1)
where, X bar = sample mean weight
n = sample size = 4
Now, probability that the average weight of the four babies will be more than 7.5 lbs = P(X bar > 7.5 lbs)
P(X bar > 7.5) = P( >
) = P(Z > 1.1428) = 0.1283 (using z% table)
Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is 0.1283 .