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belka [17]
2 years ago
10

 how do i slove  5/9v+w=z, for v

Mathematics
1 answer:
nekit [7.7K]2 years ago
3 0
Okay, let's do this~

we want v isolated on one side so let's bring w over through subtraction

now we have 5/9v=z-w

now, to get rid of that fraction attached to v, we will multiply it's reciprocal on both sides.

*the reciprocal of 5/9 is 9/5

(5/9) x (9/5) cancel each other leaving v isolated to the left

the other side should look like this 9/5(z-w)

now we put both parts together to end up with:

v= 9/5(z-w)

there you go! :D

 
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(b) A department store has 7,000 charge accounts. The comptroller takes a random sample of 36 of
galben [10]

Answer:

a.0.8664

b. 0.23753

c. 0.15866

Step-by-step explanation:

The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between

a. N164.50 and N185.50?

b. greater than N180.00?

c. less than N168.00?

We solve the above question using z score formula

z = (x-μ)/σ/√n where

x is the raw score,

μ is the population mean = N175

σ is the population standard deviation = N42

n is random number of sample = 36

a. Between N164.50 and N185.50?

For x = N 164.50

z = 164.50 - 175/42 /√36

z = -1.5

Probability value from Z-Table:

P(x = 164.50) = 0.066807

For x = N185.50

z = 185.50 - 175/42 /√36

z =1.5

Probability value from Z-Table:

P(x=185.50) = 0.93319

Hence:

P(x = 185.50) - P(x =164.50)

= 0.93319 - 0.066807

= 0.866383

Approximately = 0.8664

b. greater than N180.00?

x > N 180

Hence:

z = 180 - 175/42 /√36

z = 5/42/6

z = 5/7

= 0.71429

Probability value from Z-Table:

P(x<180) = 0.76247

P(x>180) = 1 - P(x<180) = 0.23753

c. less than N168.00?

x < N168.

z = 168 - 175/42 /√36

z = -7/42/6

z = -7/7

z = -1

Probability value from Z-Table:

P(x<168) = 0.15866

4 0
2 years ago
A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.
Fittoniya [83]
Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4, 
4x + 4y = 168
Substitute it from 2nd equation, 
3x = 45
x = 15

Now, substitute it in 1st equation, 
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!
3 0
2 years ago
Read 2 more answers
Help^^^^^^^^^^^^^^^^^
Natalka [10]
Answer: choice D

----------------------------------------------

Work Shown:

I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4

-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4

To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
6 0
1 year ago
The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure at what
Ilia_Sergeevich [38]

Answer:

4 inches

Step-by-step explanation:

The computation of the scale that should be required to reproduced that fitted on the brochure is

Given that

Length of rectangular park = 4 inches

And the Breadth of rectangular park = 6 inches

As we know that

Area of rectangular park = length × breadth

= 4×6

= 24 square inches

Now the scale that required to reproduced is

= 24 ÷ 6

= 4 inches

5 0
1 year ago
Malik randomly picked two numbers from 1 to 9 (Includin 1 and 9). the same number could be picked more than once. The first of t
Tju [1.3M]

Answer:

2/9 = 0.22

Step-by-step explanation:

There are two ways to pick the first number odd and less than 5:  1 and 3.

With each of these, the second number drawn can be 1, 2, 3, 4, 5, 6, 7, 8 or 9.

This makes 18 total possibilities.

Out of these, the only ways to have a sum less than 5 are 1 and 1, 1  and 2, 1 and 3, and 3 and 1.  This is 4 ways out of 18:

4/18 = 2/9 = 0.22

8 0
2 years ago
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