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4 years ago

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A town has accumulated 3 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated

9 inches, and the depth is increasing by 2 inches every hour. In how many hours will the snowfall be equal in the towns? Set up equation and solve.

1 answer:

mr_godi [17]4 years ago

8 0

Answer:

Step-by-step explanation:

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Someone PLEASE help me with this and PLEASE show me and explain how you got the answer:

klio [65]

Before I get started don’t click on that link the other person sent it’s a hacker trying to get your ip address so just be careful!

Alrighty so your gonna start with finding the area of the rectangular prism so 4cm*3cm*12.5cm= 150 cm squared
(Rectangular prism formula is Length*Width*Height)

Then we’re gonna get the triangular prisms area. The formula for it is the same as the rectangular one but once u did it ur gonna divide it in half since a rectangle is made up of 2 triangles!
4cm*3cm*12.5= 150cm then divide it in half to get 75cm squared.

Now just add your rectangular prisms are and your triangular prisms area 150cm+75cm= 225cm squared!

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1/5 or 2/10 or 0.2

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If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.<br>[ Using Factor Theorem ]

Alla [95]

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

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3 years ago

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

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3 years ago