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3 years ago

Which statements are true about the fully simplified product of (b-2c)(-3b c) ?

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Answer:

( 3 )The simplified product has a degree of 2.

Step-by-step explanation:

$(b-2c)(-3b+c)$

Multiply the parenthesis using FOIL method

multiply b inside the second parenthesis

$b(-3b+c)= -3b^2 +bc$

$-2c(-3b+c)= 6bc -2c^2$

$(-3b^2 +bc+6bc -2c^2)$

Combine like terms

$-3b^2 +7bc -2c^2$

Simplified product has 3 terms, and the degree of 2 because we have b^2

and c^2

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Find a parametric representation for the surface. the part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (en

Evgesh-ka [11]

The cylinder is a clue to use cylindrical coordinates. Taking $x=3\cos\theta$ and $y=3\sin\theta$ , we then are forced to use $z=3\cos\theta+3$ . So the parameterization of the intersection of the plane and cylinder is

$\mathbf s(\theta)=(3\cos\theta,3\sin\theta,3\cos\theta+3)$

To get the surface, we can introduce a second parameter $r$ that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

$\mathbf s(r,\theta)=(3r\cos\theta,3r\sin\theta,3r\cos\theta+3)$

with $0\le r\le1$ and $0\le\theta\le2\pi$ .

7 0

3 years ago

According to a survey, 67% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

Mrac [35]

Answer:

a) P(X=41)= 0.0086 = 0.86%

b) P(36≤X≤38)== 0.1215 = 12.15%

c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%

Step-by-step explanation:

if the random variable X= number of cleared murders , then X follows a binomial distribution:

P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)

where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)

therefore

a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086

b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215

c) P(X≤20) = 0.000081

therefore would be unusual that fewer that 20 murders were cleared

5 0

3 years ago

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height

Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.

Solution

the volume of a cylinder is given by: