Answer:
289 in^2
Step-by-step explanation:
1. Find side of the small square: (DG=a)
64= a^2
a= 8
2. Find hypotenuse of triangle being formed: (OG=c and DO=b)
+
=
+
=
c= 17
3. Find area of square:
= A
(17)*(17)= 289 in^2
How many unique ways are there to arrange the letters in the word THAT?
1 answer:
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Answer:
69.6 miles per hour
Step-by-step explanation:
Length of the skid marks = 242 feet
The formula used for the velocity is
where, L is the length of skid marks in feet and the velocity obtain has the units of miles per hour.
By substituting the value
v = 69.6 miles per hour
Thus, the speed of the car at the time of accident is 69.6 miles per hour.
Answer:
Mean: 0.9 pistons
Standard deviation: 0.944 pistons
Step-by-step explanation:
Either a piston is defective, or it is not. This means that for either piston, there can only be two outcomes. This means that we can solve this problem by the binomial distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities and
.
For an experiment with n repeated trials and a probability of success , we have that:
The mean is:
The standard deviation is:
In this problem
There are 90 pistons, so .
There is a 1% probability that a piston is defective, so .
Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution:
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.