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sertanlavr [38]
2 years ago
12

Please help solve this equation. Show all steps please. No links or files.

Mathematics
1 answer:
maksim [4K]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

c = (a^2 + 3b) / 4       multiply both sides by 4

4c = a^2 + 3b           subtract a^2 from both sides

4c - a^2 = 3b            now divide both sides by 3

(4c-a^2) / 3 = b          

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180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0
2 years ago
Need The Answer Plz And Thank You!! I’m Failing
sp2606 [1]

Angle BCA

Step-by-step explanation:

You can see this due to the angle having the name amount of congruent angle marks.

5 0
3 years ago
A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat
iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\

The implicit derivative with respect to the time would be

\frac{dn}{dt}  = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt}  + \frac{4pr^3}{v}\frac{dr}{dt} )

If we multiply everything by    dt   we get  

dn  = \frac{\pi}{8} ( \frac{r^4}{v} dp  + \frac{4pr^3}{v}  dr})

Remember that  the error is given by   \frac{dn}{n}   therefore doing some algebra we get that

\frac{dn}{n}  =    4 \frac{dr}{r}  +  \frac{dp}{p}

Since,    r = 0.006   ,   dr = 0.00025 ,  p = 4*105   ,   dp = 2000  we get that

\frac{dn}{n} = 0.1714

Which means that  the maximum error for viscosity is 17.14%.  

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2 years ago
How many solutions does the equation 3x-2(x+10)=x-20 ​
Ber [7]

Answer:

infinite

Step-by-step explanation:

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2 years ago
Naomi’s allowance is $2.00 per week if she convinces her parents to double her allowance each week for two months what will her
den301095 [7]

Answer:

£4.00 per week

Step-by-step explanation:

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3 years ago
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