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Nezavi [6.7K]
3 years ago
14

Find the missing factor 2n^2(n-3)-4(n-3)=( )(n-3)

Mathematics
2 answers:
wariber [46]3 years ago
7 0
Factoring the common factor (n-3) from the terms on the left side, that left-side expression becomes
  (2n^2-4)(n-3)

We presume your missing factor is
  (2n^2-4)
Romashka [77]3 years ago
7 0
Hi friend
--------------
Your answer
-------------------

★ FINDING MISSING FACTOR
---------------------------------------------

Given expression : -

LHS = 2n²(n - 3)- 4(n - 3)

RHS = (Missing factor)(n - 3)

Now,
---------

From LHS expression, we get,

2n²(n - 3) - 4(n - 3)

= (n - 3)(2n² - 4)

= 2n(n - 2)(n - 3)

Equalising this with RHS expression, we have,

Missing factor = 2n(n - 2)

HOPE IT HELPS
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S_A_V [24]
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.

</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.

Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.

Shape C is a <em>prism.</em>

Shape D is a <em>pyramid.

</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

To find the number of layers needed to fill the box, you divide 120 by 24.

120 ÷ 24 = 5

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3 years ago
How to find lateral surface
ella [17]
To find the lateral surface area of a pyramid, you can find the area of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.

8 0
2 years ago
A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get many calls for that publica
umka2103 [35]

Answer:

a) The expected value is 2.680642

b) The minimun number of newspapers the manager should order is 6.

Step-by-step explanation:

a) Lets call X the demanded amount of newspapers demanded, and Y the amount of newspapers sold. Note that 4 newspapers are sold when at least four newspaper are demanded, but it can be <em>more</em> than that.

X is a random variable of Poisson distribution with mean \mu = 3 , and Y is a random variable with range {0, 1, 2, 3, 4}, with the following values

  • PY(k) = PX(k) = ε^(-3)*(3^k)/k! for k in {0,1,2,3}
  • PY(4) = 1 -PX(0) - PX(1) - PX(2) - PX (3)

we obtain:

PY(0) = ε^(-3) = 0.04978..

PY(1) = ε^(-3)*3^1/1! = 3*ε^(-3) = 0.14936

PY(2) = ε^(-3)*3^2/2! = 4.5*ε^(-3) = 0.22404

PY(3) = ε^(-3)*3^3/3! = 4.5*ε^(-3) = 0.22404

PY(4) = 1- (ε^(-3)*(1+3+4.5+4.5)) = 0.352768

E(Y) = 0*PY(0)+1*PY(1)+2*PY(2)+3*PY(3)+4*PY(4) =  0.14936 + 2*0.22404 + 3*0.22404+4*0.352768 = 2.680642

The store is <em>expected</em> to sell 2.680642 newspapers

b) The minimun number can be obtained by applying the cummulative distribution function of X until it reaches a value higher than 0.95. If we order that many newspapers, the probability to have a number of requests not higher than that value is more 0.95, therefore the probability to have more than that amount will be less than 0.05

we know that FX(3) = PX(0)+PX(1)+PX(2)+PX(3) = 0.04978+0.14936+0.22404+0.22404 = 0.647231

FX(4) = FX(3) + PX(4) = 0.647231+ε^(-3)*3^4/4! = 0.815262

FX(5) = 0.815262+ε^(-3)*3^5/5! = 0.91608

FX(6) = 0.91608+ε^(-3)*3^6/6! = 0.966489

So, if we ask for 6 newspapers, the probability of receiving at least 6 calls is 0.966489, and the probability to receive more calls than available newspapers will be less than 0.05.

I hope this helped you!

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Explain, in complete sentences, three steps one could take to pay off their debts?
alexandr402 [8]
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2 years ago
Read 2 more answers
A butcher is mixing ground turkey breast that is 98% lean and beef that is 90% lean to make a blend that is 92.4% lean. Determin
Paul [167]
See brainly.com/question/8613376 for one way to work mixture problems.

The proportion of beef will be
.. (98 -92.4)/(98 -90) = 5.6/8 = 0.7

70 pounds of beef and 30 pounds of turkey are needed.

_____
1. I would prefer to use "t" and "b" as variables, rather than x and y. That way I can more easilly keep straight that they represent pounds of turkey and pounds of beef, respectively.

2. t + b = 100 . . . . . we want 100 pounds of mix

3. 98%*t +90%*b = 92.4%*100 . . . . . total pounds of lean meat

4. Using subsitution for t, we have
.. 98%*(100 -b) +90%*b = 92.4%*100
.. b*(98 -90) -98*100 = -92.4*100 . . . . . . multiply by -100, collect b terms
.. b = (98 -92.4)*100/(98 -90) . . . . . . . . . add 98*100 and divide by b coefficient
note that this expression is exactly the one we used to write down the answer above.
.. b = 5.6*100/8 = 70 . . . . . . . y, if you like
.. t = 100 -b = 30 . . . . . . . . . . x, if you like

70 pounds of beef and 30 pounds of turkey are needed.
7 0
3 years ago
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