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pishuonlain [190]
3 years ago
15

A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t

he probability that in a week more than 3 tons are dumped? (assume normal distribution)
Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0
25.8%  
First, determine how many standard deviations from the norm that 3 tons are. So:
 (3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273  
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%  
So the probability that more than 3 tons will be dumped in a week is 25.8%
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Answer:

Justin is 1 feet far away from Brandon

Step-by-step explanation:

As shown in the diagram, we let the distance between Justin and Brandon be x

Speed = \frac{distance}{time}

from the question

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Also the total distance is travelled by the ball=19+x

while the average speed=5ft/s

By substitution we obtain

5 =  \frac{19 + x}{4}

\implies4 \times 5 = 19 + x

\implies20=19 + x

\implies20 - 19 =  x

x=1 feet

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Charra [1.4K]

Answer: 11*5= 55

Step-by-step explanation:

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4 1/3 divided by 4/7 (answer using fraction)
sertanlavr [38]

Answer:

Step-by-step explanation:

Use KCF method

Keep the first fraction

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arlik [135]

there's a grid of squares with 12 rows and in each row there are 15 squares

from this grid she colours 8 squares from each row for 5 rows blue.

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so first we have to find how many squares are there in the grid in total

so if each row has 15 squares

then 12 rows have - 15 x 12 = 180 squares


blue coloured squares

she colours 8 rows of 5 squares

so if 1 row has - 5 squares

then 8 rows have - 5 x 8 = 40 squares


from 180 squares, she colours 40 squares blue and the rest red colour

therefore the squares she colours red are

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3 years ago
Read 2 more answers
Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these
zavuch27 [327]

What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.

From here, use the transitive property

We combine these two statements

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So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.

Through similar logic, we can chain together

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Let's call that length m.

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and

WZ = WX+XY+YZ = m+m+m = 3m

Both VY and WZ are exactly 3m units long, therefore, VY = WZ

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