Answer:
0.9898 = 98.98% probability that there will not be more than one failure during a particular week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
3 failures every twenty weeks
This means that for 1 week, 
Calculate the probability that there will not be more than one failure during a particular week.
Probability of at most one failure, so:

Then



Then

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.
Answer:
D
Step-by-step explanation:
(2x + 2) -
(3x - 1) = 15
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side
4x + 4 - 3x + 1 = 60
x + 5 = 60 ( subtract 5 from both sides )
x = 55
Answer:

Step-by-step explanation:
1) Divide both sides by 2.

2) Simplify 4/2 to 2.

3) Add 4 to both sides.

4) Simplify 2 + 4 to 6.

5) Divide both sides by 2.

6) Simplify 6/2 to 3.

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Answer:
<u>For 1 quart of orange juice:</u>
Calories = 448
Vitamin C = 387.6 mg
Carbohydrates = 107.56 mg
Step-by-step explanation:
The following information is given about 1 CUP of orange juice:
<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>
Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.
Calories = 112 * 4 = 448
Vitamin C = 96.9 * 4 = 387.6 mg
Carbohydrates = 26.89 * 4 = 107.56 mg