At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
1 answer:
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Answer:
We can rewrite this expression like this:
And we can use the quadratic formula given by:
Where
And replacing we got:
And solving we got:
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:
Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:
And replacing this formula into the area we got:
We can rewrite this expression like this:
And we can use the quadratic formula given by:
Where
And replacing we got:
And solving we got:
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Answer:
P = 95%
Step-by-step explanation:
The average is:
The standard deviation is:
.
We want the probability that the red light lasts between 2.5 minutes and 3.5 minutes
This is:
Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.
This is:
---------- (By the symmetry of the standard normal distribution)
When you search for the normal standard table, you get the following value: