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Serhud [2]
3 years ago
8

Solve this system of equation using substitution y=2x-4 x+2y=10

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
Y=2x-4
X+2y=10

Put y into the x equation
X+2(2x-4) =10

Expand and simplify
X+4x-8=10
5x-8 =10
5x=10+8
5x=18
X=18/5

Insert x into the original equation to get y
Y=2x-4
Y=2(18/5)-4
Y=16/5
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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

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3 years ago
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3 years ago
If the side of a square is doubled in length, what is the percentage increase in area
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8 0
3 years ago
How to solve this question #4 ?
gayaneshka [121]
This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.

Area of a sphere = 4 π R²  (just happens to be the area of 4 great circles)

Volume of a sphere = (4/3) π R³

We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius.  Then, once we know the
radius, we can use the second formula to find its volume.

Area of 4 great circles = 4 π R²

Area of ONE great circle = π R²

           225 π cm²  =  π R²

               R²  =  225 cm²

               R  =  √225cm²  =  15 cm .

Now we have a number for R, so off we go to the formula for volume.

         Volume  =  (4/3) π R³

                      =  (4/3) π (15 cm)³

                      =  (4/3) π (3,375 cm³)

                       =      14,137.17  cm³      (rounded)

This answer feels very good UNTIL you look at the choices.
_____________________________________________________

I've gone around several loops and twists trying to find out what gives here,
but have come up dry.

The only thing I found is the possibility of a misprint in the question:  

If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².

I'm sure this is not the discrepancy.  I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
5 0
3 years ago
Read 2 more answers
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Find the area of each face and add them all together, or since a cube has 6 faces, you can multiply the area of one face by 6.
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