<span>In general, if the pyramid has 'x' sides, then it will have 'x' lateral faces. Total Number of Faces = Number of Base Faces + Number of Lateral Faces. Total Number of Faces = 2 + x. So the formula is F=x%2B2 where "x" is the number of sides that the pyramid has and "F" is the total number of faces.</span>
Answer:
The probability is 0.694
Step-by-step explanation:
Let the probability of getting a car washed be
P(W) = 72% = 0.72
Let the probability of getting a car vacuumed be
P(V) = ?
Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5
From Bayes’ theorem
P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed
So mathematically;
P(V|W) = P(V n W)/P(W)
= 0.5/0.72 = 0.694
Answer:
I am correct
Step-by-step explanation:
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Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)