1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phoenix [80]
2 years ago
6

Multiply (x+2y)(x^2-xy+3y)

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

-2xy^2+x^2y+x^3+6y^2+3xy

Step-by-step explanation:

You might be interested in
f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep
Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so m = 25, \mu = \frac{1}{25} = 0.04

We have to find P(X > 35)

P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so p = 0.2466

3 towers, so n = 3

We have to find:

P(X \geq 2) = P(X = 2) + P(X = 3)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374

P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524

15.24% probability that at least 2 will still stand after 35 years

4 0
3 years ago
What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
3 years ago
What is the circumference of a circle with a radius of 5.4 inches? Enter your answer as a decimal in the box. Use 3.14 for pi. R
LenKa [72]
Hi there! The formula for circumference is π * diameter. Diameter is the length across the circle and twice the length of the radius.The radius is 5.4, so we will multiply that by 2 to get 10.8. The diameter is 10.8 inches. Now, multiply that numebr by 3.14 to find the circumference. 10.8 * 3.14 is 33.912 or 33.9 when rounded to the nearest tenth. There. The circumference is approx. 33.9 inches.
7 0
3 years ago
Read 2 more answers
Solve for x. 3x - 1 = 27
poizon [28]
X = 9
Move the 1 over to make it 3x = 28. The. 28/3 equals 9
3 0
3 years ago
Read 2 more answers
What is the volume of a cylinder with a height of 2 feet in a radius of 6 feet use 3.14 for pie
Zepler [3.9K]

Answer:226.08 cubic feet

Step-by-step explanation:

π=3.14

Radius(r)=6feet

Height(h)=2feet

volume=π x r^2 x h

Volume=3.14 x 6^2 x 2

Volume=3.14 x 6 x 6 x 2

Volume=226.08

5 0
3 years ago
Other questions:
  • How many feet per second is 1 mile/hour
    6·2 answers
  • A person places $661 in an investment account earning an annual rate of 7.1\% , compounded continuously . Using the formula V =
    5·1 answer
  • What is the line reflection between pentagons PQRST & P'Q'R'S'T'
    14·1 answer
  • A home is to be built on a 61 foot 6 inches wide lot. The house is 7 feet 2 inches from the side of the lot and is 41 foot 6 inc
    9·2 answers
  • A bag contains four red marbles, two green ones one lavender one two orange marbles how many sets of five marbles include at mos
    14·1 answer
  • Find the area for the circle (use 3.14 for pi). Round to the nearest tenth.
    15·2 answers
  • Please help!
    12·1 answer
  • Laura tiene láminas y 40 están repetidas si coloca 5 en cada página de su álbum ¿cuántas páginas completará laura?​
    5·1 answer
  • 1)<br> Find the value of x.
    5·1 answer
  • on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!