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alexgriva [62]
2 years ago
9

Make y the subject of the equation 2A=x(2y+z)​

Mathematics
2 answers:
QveST [7]2 years ago
8 0

2A = 2xy + xz

2A - xz = 2xy + xz - xz

2A - xz = 2xy

( 2A - xz ) ÷ 2x = 2xy ÷ 2x

A/x - z/2 = y

frez [133]2 years ago
3 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

y = \frac{2A-xz}{2x}; x \neq 0

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

2A = x(2y+z)\\\\\rightarrow x(2y+z)=2A\\\\\rightarrow\frac{x(2y+z)=2A}{x}\\\\\rightarrow 2y + z = \frac{2A}{x}\\\\\rightarrow 2y + z - z =  \frac{2A}{x}-z\\\\\rightarrow 2y = \frac{2A}{x} - z\\\\\rightarrow\frac{2y = \frac{2A}{x} - z}{2}\\\\\rightarrow \boxed{y = \frac{2A-xz}{2x}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
3 years ago
The value of 4 + 44/10 + 404/100 +
nydimaria [60]

Answer:

12.8844

the answer is (a)12.8844

4 0
2 years ago
Read 2 more answers
A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to
notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

\frac{20}{60} =\frac{1}{3}

so time = 1/3  and distance = 16

Average speed = distance by time

speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48

Average speed is 48 km per hour

4 0
3 years ago
Help please and thank you
Akimi4 [234]
-6×-6=36
f-34=36
34+36=70
f=70
7 0
3 years ago
Fencing is sold for $1.50 per foot at the garden store. Shawn needs 24 feet of fence for his new puppy's yard. How much will the
Y_Kistochka [10]

Answer:

$36

Step-by-step explanation:

1.5 × 24 = 36

Hope this helps!

-MoCKEry

3 0
2 years ago
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