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Neko [114]
3 years ago
15

X - y = 4 2x + y = -4 x = y =

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer:  x = 4 + y

                x= -2 - y/2

             

Step-by-step explanation:add y to both sides of the equation

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What is the integral of y'sinx=ylny ...?
Salsk061 [2.6K]
Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and  </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx) 
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is   lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x
3 0
3 years ago
Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o
Harlamova29_29 [7]

Answer:

The probability is 0.0643

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The standard deviation of the distribution of sample means is called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where M is the mean of the sample , μ is the mean

 of the population  

* Lets solve the problem

- The mean of the washing machine is 9.3 years

∴ μ = 9.3

- The standard deviation is 1.1 years

∴ σ = 1.1

- There are 70 washing machines randomly selected

∴ n = 70

- The mean replacement time less than 9.1 years

∴ M = 9.1

- Lets calculate z-score

∵ σM = σ/√n

∴ σM = 1.1/√70 = 0.1315

∵ z-score = (M - μ)/σM

∴ z-score = (9.1 - 9.3)/0.1315 = - 1.5209

- Use the normal distribution table of z to find P(z < -1.5209)

∴ P(z < -1.5209) = 0.06426

∵ P(M < 9.1) = P(z < -1.5209)

∴ P(M < 9.1) = 0.0643

* The probability is 0.0643

5 0
3 years ago
What is the value of x?<br> a. 68°<br> b. 62°<br> c. 112°<br> d. 124°
Dmitrij [34]
68 degrees because 56×2=112 then 180-112=68
8 0
3 years ago
Read 2 more answers
You are given: Students must take at least 2 courses out of Art, History, and Science. 60% of the students take Art. 80% of the
Eva8 [605]

Answer:

0.10 or 10%

Step-by-step explanation:

Since each student must take at least 2 courses, if no student took all three courses, the sum of the percentages would total 200% (counting each student twice). Therefore, the proportion of students taking all three courses is the difference between the sum of all percentages and 200%:

P(3) = 60\%+80\%+70\%-200\%\\P(3) = 10\%

0.10 or 10% of the students take all 3 courses.

4 0
3 years ago
A submarine was situated 800 feet below sea level. If it ascends 350 feet,
Lesechka [4]

Answer:

450 feet below sea level

Step-by-step explanation:

<em>ascend = move up = add</em>

<em>800 ft below sea level = -800</em>

-800 + 350 = -450

4 0
3 years ago
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