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2 years ago

Find the probability of rolling a 4 or less on the first die, and a 5 or less on the second die

Mathematics

1 answer:

bearhunter [10]2 years ago

3 0

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

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An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref

hichkok12 [17]

Answer:

P is exactly 3km east from the oil refinery.

Step-by-step explanation:

Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

$\sqrt{(3 - d)^2 + 2^2} = \sqrt{(3 - d)^2 + 4}$

So the cost of laying pipe under water with this distance is

$800000\sqrt{(3 - d)^2 + 4}$

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

$800000\sqrt{(3 - d)^2 + 4} + 400000d$

We can find the minimum value of this by taking the 1st derivative and set it to 0

$800000\frac{2*0.5*(3-d)(-1)}{\sqrt{(3 - d)^2 + 4}} + 400000 = 0$

We can move the first term over to the right hand side and divide both sides by 400000

$1 = 2\frac{3 - d}{\sqrt{(3 - d)^2 + 4}}$

$\sqrt{(3 - d)^2 + 4} = 6 - 2d$

From here we can square up both sides

$(3 - d)^2 + 4 = (6 - 2d)^2$

$9 - 6d + d^2 + 4 = 36 - 24d + 4d^2$

$3d^2-18d+27 = 0$

$d^2 - 6d + 9 = 0$

$(d - 3)^2 = 0$

$d -3 = 0$

d = 3

So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.

3 0

2 years ago

Does anyone mind helping?

lorasvet [3.4K]

Answer:

x^2 y^12

Step-by-step explanation:

( x ^ 1/2 * y ^3 ) ^ 4

A power raised to a power has the exponents multiplied

a^b^c = a^ (b*c)

x^ 1/2 ^ 4 * y^3^4

x^(1/2*4) * y^(3*4)

x^2 y^12

6 0

2 years ago

Read 2 more answers

What is the volume of the trianglur cylinder when the radius is 2 and the height is 3

xxMikexx [17]

Answer:

37.68 units^3

Step-by-step explanation:

Simply use the formula area of base×height....

so,

Volume(V)=πr^2h

=3.14×2^2×3

=3.14×4×3

=37.68 units^3

HOPE IT HELPS!!!

8 0

3 years ago

What is the domains inequality

Anna35 [415]

Answer:

-8,-2

Step-by-step explanation:

7 0

2 years ago

Which graph shows a set of ordered pairs that represents a function?

bonufazy [111]

There is a rule for functions:

One input(x-value) can only have one output(y-value).

If one input has more than one output, it is not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

This graph shows a set of ordered pairs that does NOT represent a function because there are two points on x = -3. The input -3 has more than one output of -4 and 4, so it is not a function.

4 0

2 years ago