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3 years ago

Factor completely. x^3 + 2x^2 + x + 2

Mathematics

1 answer:

slega [8]3 years ago

8 0

$x^3 + 2x^2 + x + 2=\\
x^2(x+2)+1(x+2)=\\
(x^2+1)(x+2)$

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A six-sided die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on th

agasfer [191]

Answer:

P(2U5) = 7/21 = 1/3

the probability of getting either a 5 or a 2 in one throw is 1/3

Step-by-step explanation:

Given that; the probability of each face turning up is proportional to the number of dots on that face

P(1) = 1×P(1)

P(2) = 2×P(1)

P(3) = 3×P(1)

P(4) = 4×P(1)

P(5) = 5×P(1)

P(6) = 6×P(1)

P(T) = 21×P(1)

Where;

P(x) is the probability of getting number x on the dice.

P(T) is the total probability of obtaining any number

N(x) is the number of possible number x in terms of the distribution function.

P(x) = N(x)/N(T) ....1

And since P(T) is constant, and P(T) is proportional to N(T) then,

P(x) is directly proportional to N(x)

So, equation 1 becomes;

P(x) = N(x)/N(T) = P(x)/P(T) ....2

The probability of getting either a 5 or a 2 in one throw

P(2U5) = (P(2) + P(5))/P(T)

Substituting the values of each probability;

P(2U5) = (2P(1) + 5P(1))/21P(1)

P(2U5) = 7P(1)/21P(1)

P(1) cancel out, to give;

P(2U5) = 7/21 = 1/3

the probability of getting either a 5 or a 2 in one throw is 1/3

8 0

3 years ago

The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's pop

astra-53 [7]

P+4.3%=0 p=-4.3% for each year

6 0

2 years ago

Which irrational number is represented by point D?

Leno4ka [110]

Answer:

it is 182

Step-by-step explanation:

182= 13.49

162= 12.73

204= 14.28

221=14.87

7 0

2 years ago

Read 2 more answers

the strength of students in a school when increased by 8% becomes 2160. find the original strength of students in the school.

Leni [432]

Answer:

1987.2

Step-by-step explanation:

We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.

$\frac{92}{100}=\frac{y}{2160}$

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

92(2160)=100(y)

198720=100y

y=1987.2

There are 1987.2 as the original strength of students.

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2 years ago

Help me and you get Brainliest! + 20 pts! Cindy did an experiment. She started out with 700 bacteria cells. She found that the g

Monica [59]

Answer:

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3 years ago