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noname [10]
3 years ago
13

B/3+5=-2 Two Step Equation

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

\textsf{Hey there!}

\mathsf{\dfrac{b}{3}+5=-2}

\mathsf{STEP\ ONE:} \textsf{Simplify BOTH sides of your equation}

\mathsf{LIKE: \ \dfrac{1}{3}b + 5 = -2}

\textsf{STEP TWO: SUBTRACT  by 5 on your sides}

\mathsf{\dfrac{1}{3}b+5-5=-2-5}

\textsf{Cancel out: 5 - 5 because it gives you 0}

\textsf{Keep: -2 - 5 because it helps us solve for our b value}

\mathsf{-2 - 5 =-7}

\mathsf{New\ equation: \underline{\dfrac{1}{3}b = -7}}

\textsf{STEP THREE: MULTIPLY both sides by 3}

\mathsf{3 \times\dfrac{1}{3}b = 3\times-7}

\mathsf{Cancel\ out: 3\times\dfrac{1}{3}\ because\ it\ gives\ you\  1}

\mathsf{Keep: 3\times-7\ because\ it\ helps\ solve\ for\ b}

\mathsf{3\times-7=-21}

\boxed{\textsf{Thus, your answer is most likely: \boxed{\mathsf{b = -21}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st
kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

n = 420 --- the sample size

\sigma = 1.6 --- the standard deviation

\bar x = 10 --- the mean

\alpha = 99\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{1.6^2}{420}}

E = z \times \sqrt{\frac{2.56}{420}}

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

E = 2.576 \times \sqrt{\frac{2.56}{420}}

E = 2.576 \times \sqrt{0.006095}

Take square roots

E = 2.576 \times 0.0781

Multiply

E = 0.2012

Approximate

E = 0.20

Hence, the margin of error is 0.20

Read more about margin of error at:

brainly.com/question/14396648

8 0
3 years ago
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An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if
murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108   ⇒   z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0  and  Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒  x*(1 - (x³/216)) = 0

⇒  x₁ = 0   and  x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)²   which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0   and   Sxx(6, 6) > 0   we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

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The answer to the problem
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Could you take a better picture please?

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What that guy said is right
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Answer:

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