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evablogger
6 days ago
15

Determine the solution set of x^2-80=0.

Mathematics
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At the Zamenhof Language School, at least 70% of the students take English each year, at least 40% take German each year, and be
PIT_PIT [12445]

Answer:

(C) 10% to 70%(

Step-by-step explanation:

Given that at least 40% of the students are learning German, the upper limit of those who might be enrolled in English but not in German is 60%. However, since a minimum of 70% study English, it leads to the conclusion that at least 10% of students must be taking both German and English.

If we consider that at least 30% of students are learning Italian, and assuming that no student is studying all three languages simultaneously, then there is a maximum of 70% of students who could potentially be registered in both English and German.

This means the possible percentage for students enrolled in both English and German ranges from 10% to 70%

8 0
3 months ago
The line width of a tool used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micromete
zzz [12365]

Answer:

a. 0.82%

b. 71.11%

c. 0.564 micrometer

Step-by-step explanation:

To find the z value for each measurement, we must calculate and determine the percentage they correspond to, and the difference will give us the percentage between those two statistics.

The equation for z is:

z = (x - m) / (sd)

Here, x is the value being evaluated, m denotes the mean, and sd represents the standard deviation.

a.

For 0.62 copies, we calculate:

z = (0.62 - 0.5) / (0.05)

z = 2.4

This translates to 0.9918.

Therefore, p (x > 0.62) = 1 - 0.9918

p (x > 0.62) =  0.0082 = 0.82%

b.

For 0.47 copies, we have:

z = (0.47 - 0.5) / (0.05)

z = -0.6, which equates to 0.2742.

For 0.63 copies:

z = (0.63 - 0.5) / (0.05)

z = -2.6, which yields 0.9953.

Hence, p (0.47 > x > 0.63) = 0.9953 - 0.2742

p (0.47 > x > 0.63) = 0.7211 = 72.11 %

c.

For x copies, we find:

p = 0.9 corresponds to z = 1.28.

Thus, 1.28 = (x - 0.5) / (0.05)

From which we derive:

x = 1.28*0.05 + 0.5

x = 0.564 micrometer

4 0
3 months ago
Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?
tester [12383]
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3

The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b

Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
6 0
2 months ago
In the country of Apexico, 6% of the population was unemployed in february of 2008. if there were 168.000.000 people willing and
tester [12383]
Let A represent the number of individuals without jobs.
<span>168,000,000 accounts for 94% of the population in Apexico.

</span>Calculating, 168,000,000/94=<span>1,787,234, which corresponds to 1% of the total population.
</span>Thus, 1,787,234 multiplied by 6 equals <span>10,723,404 individuals are unemployed in Apexico</span>
8 0
3 months ago
Read 2 more answers
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