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goldenfox [79]

3 years ago

6 = -8
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Mathematics

2 answers:

Cloud [144]3 years ago

8 0

$\frac{y}{3}-6=-8$
add 6 to both sides
$\frac{y}{3}-6+6=-8+6$
$\frac{y}{3}=-2$
multiply both sides by 3
$3\frac{y}{3}=-2(3)$
$y=-6$

lora16 [44]3 years ago

3 0

You need to get y to 1. So multiply everything by 3. The equation you get is y-18=-24. You need to get y by itself so add 18 to both sides. The equation you get is y=-6. So the answer is y=-6. Hope this helps! ;)

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Irina-Kira [14]

Answer:

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Step-by-step explanation:

σ [Population standard deviation] = 8 , s [sample standard deviation] = s

n [no of items] = 8

H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8

χ2 = (n - 1) . s^2 / σ^2

= 49 x (10.5)^2 / 82 = 5402.25 / 64

χ2 = 84.410

df [degree of freedom] = n -1 = 50 - 1 = 49

P value (χ^2 49 > 84.410) = 0.00125

p = 0.0013

p < α ie 0.05

So, H0 is rejected

Hence we state that standard deviation is > 8 miles per hpur

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3 years ago

Indicate the equation of the line through (2, -4) and having slope of 3/5.

Nastasia [14]

Y = mx + b.....the m is for the slope , (2,-4)...x = 2 and y = -4
now we sub
-4 = 3/5(2) + b
-4 = 6/5 + b
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3 years ago

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To find this, let's write two equations using the given information.

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2 years ago

Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me

Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

$V= \pi r^2 h$

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Finding the differential.

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$dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr$

So finding the partial derivatives we get

$dV =\pi r^2 dh + \pi 2r h dr$

$dV =\pi r^2 dh + 2\pi r h dr$

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

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That give us

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Or in decimal value

$\boxed{dV= 87.96 \, cm^3}$

Thus the volume of metal in the can is 87.96 cubic cm.

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3 years ago