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valkas [14]
3 years ago
14

The students in a science class spent 65% of the class period performing an experiment. how long is a class period if the time s

pent on this experiment was 52 minutes?
Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
                                    52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long. 
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Computers from a particular company are found to last on average for 24 months without any hardware malfunction with a standard
vodomira [7]

Answer:

At least 68% of observations lie between 22 and 26 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 2

22 = 24 - 2

22 is one standard deviation below the mean

26 = 24 + 2

26 is one standard deviation above the mean.

So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.

8 0
3 years ago
PLEASE HELP!!!!!!<br> Graph y= -4/3x + 1
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Answer:

Step-by-step explanation:

4 0
3 years ago
A mill processes 27 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if the rate of production s
Delvig [45]
There are a few ways you can go about solving this question. One way is to use the given information to find how many tons of flour can be processed in one hour. If 27 tons can be processed in 3 hours, we can do 27 divided by 3 to find that 9 tons of flour can be processed per hour. Then, if we want to see how many tons of flour can be processed in 8 hours, we can multiply 9 tons by 8 hours to get a total of 72 tons of flour.

I hope this helps.
5 0
3 years ago
In a race, the mean time for three runners was 12.4 seconds and the mean
Ne4ueva [31]

Answer:

11.8

Step-by-step explanation:

3(12.4) + 6(11.5) =  37.2 + 69 = 106.2

106.2/9 = 11.8

4 0
3 years ago
Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).
OLEGan [10]

Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

z=x+iy,

then

z-2=x+iy-2=(x-2)+iy\\ \\Re\ (z-2)=x-2\\ \\Im\ (z-2)=y\\ \\|z-2|=\sqrt{Re^2\ (z-2)+Im^2\ (z-2)}=\sqrt{(x-2)^2+y^2}

and

Re\ z=x

Thus,

\sqrt{(x-2)^2+y^2}=x

Square it:

(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)

This is the equation of parabola with vertex at point (1,0) that goes to the right.

3 0
3 years ago
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