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enot [183]
3 years ago
6

Weekly demand for a product is normally distributed with a mean and standard deviation of 3,211 and 484 units, respectively. Wha

t is the probability that weekly demand exceeds 4,044
Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

The probability it is greater than or equal to 0.95 and less than or equal to 0.96

Step-by-step explanation:

In order to calculate the probability that weekly demand exceeds 4,044 we would have to calculate the z value as follows:

Z= (X-mean)/standard deviation

Z= (4044 - 3211)/484

Z=1.721

So, looking for standard normal distribution table 1.7 from row, we get values from 0.9554 till 0.9633, for column 0.02 it is 0.9573

Therefore, the probability it is greater than or equal to 0.95 and less than or equal to 0.96

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3 years ago
Does the system have one solution,no solution,or infinitly many? Use substitution to justify your answer
Bad White [126]

Answer:

(0,3) One solution

Step-by-step explanation:

Step: Solve x+5y=15for x:

x+5y=15

x+5y+−5y=15+−5y(Add -5y to both sides)

x=−5y+15

Step: Substitute −5y+15for x in 7x+2y=6:

7x+2y=6

7(−5y+15)+2y=6

−33y+105=6(Simplify both sides of the equation)

−33y+105+−105=6+−105(Add -105 to both sides)

−33y=−99

−33y

−33

=

−99

−33

(Divide both sides by -33)

y=3

Step: Substitute 3 for y in x=−5y+15:

x=−5y+15

x=(−5)(3)+15

x=0(Simplify both sides of the equation)

Therefore (0,3) which is one solution

3 0
3 years ago
pavel is making coleslaw. the recipe calls for cabbage and carrots in the ratio of 9 cups of cabbage to 2 cups of carrots. how m
weqwewe [10]
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Milli plans to rent a room for her birthday party for $40. The catering charge is $12 per person but there is no charge for mill
zalisa [80]
Hello there! So, the room is $40 to rent, and it costs $12 per person. To solve this, we can write and solve an equation. Set it up like this:

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This is because Milli has $100 to spend. $40 is the fixed cost and the $12 goes up based in the number of guests. Let’s start off by subtracting 40 from both sides. 40 - 40 cancels out. 100 - 40 is 60. That leaves us with 12g = 60. Now, divide each side by 12 to isolate the g. 12g/12 cancels our. 60/12 is 5. There. g = 5. Milli can invite 5 guests to her party.
4 0
4 years ago
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