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2 answers:
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X = older brother
y = younger brother
Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4
The age of the older brother is 24.
The age of the youngest brother is 16.
y = younger brother
Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4
The age of the older brother is 24.
The age of the youngest brother is 16.
Answer:
attached below
Step-by-step explanation:
Attached below are the Venn diagrams
A : 48 < X < 52 cm
B : 9 < Y < 11 cm
a) A
b) A ∩ B
c) A' ∪ B
d) A ∪ B
e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0
the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
The cut-off dollar amount is $328.