Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:
The standard deviation of the uniform distribution is:
The probability that we find a value X lower than x is given by the following formula.
Uniform distribution between 2.93 and 3.1 volts
This means that 
. So
Mean:
Standard deviation:
What is the probability that a battery has a voltage less than 2.98?
So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Answer:
Step-by-step explanation:
x + 8 < - 28
x < - 28 - 8
x < - 36
Option A is the correct answer
Answer:
Because they are both multiplied.
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation:
infinite
but solving for it we can get
3x + 8 = 3x + 8 (divided both sides by 2)
3x = 3x (subtracted 8)
x = x
1 = 1
therefore, for all values of x, the equation will be true so there are
infinite solutions
Answer:
3/2
Step-by-step explanation:
A couple of different methods are used for dividing fractions.
1. "Invert and multiply". Dividing by a number is the same as multiplying by its reciprocal:
(3/4) / (1/2) = (3/4) × (2/1)
= (3·2)/(4·1) = 6/4 = 3/2
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2. Make the denominators the same and use the ratio of numerators.
(3/4) / (1/2) = (3/4) / (2/4) = 3/2
_____
For these fractions, you can recognize that 3/4 is 1/4 more than 1/2, and that 1/4 is half of 1/2. That means 3/4 is half-again as much as 1/2, so is 1 1/2 = 3/2 times 1/2. This tells you the ratio (3/4) : (1/2) = 3/2.
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Along the lines of the above, you can write the ratio as ...
(3/4) : (1/2)
and multiply by 4 to get
= (3/4)×4 : (1/2)×4 = 3 : 2
