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
amm1812
3 years ago
8

What is the next number of the pattern. 2 7 26 101 400

Mathematics
2 answers:
aliina [53]3 years ago
7 0
the\ sequence\ can\ be\ determined\ recursively:\\\\ \left \{ {\big{a_1=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop\big {a_{n+1}=4\cdot a_n-n}} \right. \\\\\\a_6=4\cdot a_5-5=4\cdot400-4=1600-5=1595\\\\Ans.\ the\ nxt\ term\ is\ 1595.
Paladinen [302]3 years ago
6 0
2x4-1
7x4-2
26x4-3
101x4-4
400x4-5
and so on . .  
just do the math. 

You might be interested in
Could someone please help me i really don't understand this
Ray Of Light [21]

Answer:

69

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given that parallelogram ABCD and angle D=145 what is the measure of angle C
stiv31 [10]
Opposite angles of parallelogram are equal.
sum of interior angles of parallelogram is 360 degrees.

Therefore,
A + B + C + D = 360
x + 145 + x + 145 = 360 
x = 35
Therefore angle C is 35 degrees 
8 0
3 years ago
Read 2 more answers
Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
REY [17]

Answer:

E) None of the above

Step-by-step explanation:

Given f(x)=\sqrt{x} and g(x)=x+2, then f(g(x))=\sqrt{x+2}. This shifts the graph of the parent function f(x)=\sqrt{x} 2 units to the left. Thus, the domain of the function is [-2,\infty), making none of the above true.

8 0
2 years ago
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose
Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses


e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Binomial 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.

Poisson mean:

\mu = 0.2

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164


0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164&#10;

P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so p = 0.181

We want to find P(X = 0).

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

P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671

0.671 = 67.1% probability that neither contains a missing pulse

8 0
3 years ago
Help solve for the area
Strike441 [17]

Answer:

B

Step-by-step explanation:

half × base × height

height × length

8 0
3 years ago
Read 2 more answers
Other questions:
  • a piece of wood weighing 10 ounces found to have a weight of 8 ounces after drying.The moisture content was?
    12·1 answer
  • Solve the following equation
    6·2 answers
  • Describe the pattern below. Then find the next three numbers. 3.5, 13, 41.5, 127, ___, ___, ___
    12·2 answers
  • Drag the numbers to order them from least to greatest. 0.9, −2.4, −0.8, 1.6, 0.2
    15·1 answer
  • Which number is a rational number???
    12·1 answer
  • What is the sum of infinity sigma n = 1 2 (1.5)^n-1
    15·1 answer
  • Use the Pythagorean Theorem to answer the questions.
    15·1 answer
  • Need help on this please
    13·2 answers
  • Simplify and find the perimeter of the triangle
    5·2 answers
  • 45,747 divided by 9=
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!