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3 years ago

Ifx+y-1=1-(1-x), what is the value of y?.

Mathematics

1 answer:

vovikov84 [41]3 years ago

5 0

If you distribute the negative sign on the right hand side, you have

$x+y-1=1-(1-x) \iff x+y-1=1-1+x \iff x+y-1=x$

You can simplify $x$ from both sides:

$y-1=0$

And if you add 1 to both sides, you have

$y=1$

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The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$

Hence, the required probability= A) 0.1587

6 0

3 years ago

How many places do you need to move the decimal to the left to write the

NikAS [45]

Answer: 6 x 10^12

Step-by-step explanation:

Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10

3 0

3 years ago

Please answer this! I really suck at math and I need to do well.

Mariulka [41]

I believe it would be G.

5 0

3 years ago

The sales tax in your city is 4.4%, and an item costs $3 before tax.

defon

Answer:

0.132

Step-by-step explanation:

4.4%*3=0.132

6 0

3 years ago

A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng

Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0

2 years ago