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2 years ago

A toilet is leaking at the rate of 1 fluid ounces per minute. How many gallons is

Mathematics

1 answer:

scoray [572]2 years ago

5 0

1 gallon (gal) = 128 fluid ounce (fl oz)

1 hour (hr) = 60 minutes (min)

Convert 1 fl oz/min to gal/hr.

$\dfrac{1\,\rm fl.oz}{1\,\rm min} \times \dfrac{1\,\rm gal}{128\,\rm fl.oz} \times \dfrac{60\,\rm min}{1\,\rm hr} = \dfrac{60}{128} \dfrac{\rm gal}{\rm hr} \approx \boxed{0.47 \dfrac{\rm gal}{\rm hr}}$

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A standardized variable always has a mean of _______ and a standard deviation of _______. b. The z-score corresponding to an

Feliz [49]

Answer:

Step-by-step explanation:

We know that normal distribution as special characteristics such as symmetry, unimodal, no skewness, mean =median=mode, etc

A standardized variable for normal variable X is

$Z = \frac{x-\mu}{\sigma}$ will be normal with mean =0 and sigma =1

The probability will be divided equally on either side of the mean =0 i.e. y axis

Hence the answers would be

A standardized variable always has a mean of __0_____ and a standard deviation of ___1____. b. The z-score corresponding to an observed value of a variable tells you ____the std normal score.___. c. A positive z-score indicates that the observation is __to the right ____ the mean, whereas a negative z-score indicates that the observation is __to the left_____ the mean

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3 years ago

Solve Quadratic Equations by Factoring:

mr_godi [17]

Answer:

x = 0 or 1
x = ±i/4
x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

x(x -1) = 0 . . . . . x = 0 or 1

2. 16x^2 +1 = 0

This is the "difference of squares" ...

(4x)^2 - (i)^2 = 0

(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

3. x^2 +10x +25 = 0

(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

5 0

3 years ago

If x = 3(y+w)– 1, what is the value of w in terms of x and y?

bixtya [17]

The answer for that is the second one

7 0

3 years ago

Most evenings aftar dinner Duarte spends 30 minutes playing chess with his dad write an equation for the number of minutes m tha

Svetach [21]

The equation would be: m=30e

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4 years ago

Read 2 more answers

Anthony, Brian and Chris are hired for a job. If Anthony and Brian are working together they will finish the job in minutes. If

Firlakuza [10]

Answer:

12.5

Step-by-step explanation:

Let individual time taken by Anthony, Brian and Chris = t1 , t2 , t3 respectively

So, total time taken by A & B = 1 / t1 + 1 / t2 , lets suppose = 10 {i}

Total time taken by A & C = 1 / t1 + 1 / t3 , lets suppose = 15 {ii}

Total time taken by B & C = 1 / t2 + 1 / t3 , lets suppose = 20 {iii}

From {i} , 1 / t2 = 10 - 1 / t1

From {ii} 1 / t1 = 15 - 1 / t3

By above two eqtns , 1 / t2 = 10 - (15 - 1 / t3)

1 / t2 = 1 / t3 - 5

Putting in {iii} , 1 / t3 - 5 + 1 / t3 = 20

2 / t3 = 25

t3 = 12.5

7 0

3 years ago