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2 years ago

Luke can paint 91 portraits in 7 weeks.

Mathematics

2 answers:

dimulka [17.4K]2 years ago

8 0

91 divided by 7 is 13. so he can paint 13 in 1 week. 13 x 4 equals 52 so he can paint 52 portraits in 4 weeks.

GarryVolchara [31]2 years ago

8 0

he can paint ( 4 / 7 ) * 91 paintings in 4 weeks

4 / 7 = 0.57142857142

0.57142857142 * 91 = 52 paintings in 4 weeks

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What is the exact volume of the cylinder radius is 4 inches height is 8 inches

Gelneren [198K]

The Answer Is A 32n In^3

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3 years ago

A space S is defined as S = {1, 3, 5, 7, 9, 11} , and three subsets as A = {1, 3, 5} , B = {7, 9, 11} , C = {1, 3, 9, 11} . Assu

Lina20 [59]

Answer:

a) 0.5

b) 0.5

c) 0.67

d) 1

e) 0.83

f) 0.67

Step-by-step explanation:

P(A)=n(A)/n(S)

n(A)=number of outcomes in event A=3

n(S)= Total number of outcome of an experiment=6

P(A)=3/6=1/2=0.5

P(B)=n(B)/n(S)

n(B)=number of outcomes in event B=3

P(B)=3/6=1/2=0.5

P(C)=n(C)/n(S)

n(C)=number of outcomes in event C=4

P(C)=4/6=2/3=0.67

A∪B= {1,3,5} ∪ {7,9,11}={1,3,5,7,9,11}

P(A∪B)=n(A∪B)/n(S)=6/6=1

A∪C={1,3,5}∪{1,3,9,11}={1,3,5,9,11}

P(A∪C)=n(A∪C)/n(S)=5/6=0.83

A-C={1,3,5}-{1,3,9,11}={5}

(A-C)∪B={5}∪{7,9,11}={5,7,9,11}

P((A-C)∪B)=n((A-C)∪B)/n(S)=4/6=2/3=0.67

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3 years ago

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2 years ago

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andre [41]

Answer:

Step-by-step explanation:

(a)

let, f(x) = 2x+1 & g(x) = 2x+2

So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in $Z_4[x]$

So, product of two 1 degree polynomials is a 1-degree polynomial in $Z_4[x]$

(b)

let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]

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(c)

this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,

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So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5

So, this is not possible.

So, no such example exists.

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3 years ago

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