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
disa [49]
3 years ago
10

Write an explicit formula for an, the n

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

t_{n}=6n-2

Step-by-step explanation:

You might be interested in
A popular online music store allowed shoppers to listen to an entire album before buying it. Of the people who listened to the w
katrin2010 [14]

Answer:

IDK this stuff is confusing

Step-by-step explanation:

Plz like and follow

4 0
3 years ago
How long a rope is required to reach from the top of a building 40 feet high 30 feet from the base of the building?
Goshia [24]
70 feet.
If you're 30 feet from the base, then you have to climb that 30 feet, plus the 40 foot length of that building. (:

7 0
3 years ago
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a
creativ13 [48]

Answer:

A. P(x>91.71)=0.10, so the minimum grade is 91.71

B. P(x<72.24)=0.025 so the maximum grade could be 72.24

C. By rule of three, 200 students took the course

Step-by-step explanation:

The problem says that the grades are normally distributed with mean 84 and STD 6, and we are asked some probabilities. We can´t find those probabilities directly only knowing the mean and STD (In that distribution), At first we need to transfer our problem to a Standard Normal Distribution and there is where we find those probabilities. We can do this by a process called "normalize".

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

Where x,a are data from the original normal distribution, μ is the mean, σ is the STD and z,b are data in the Standard Normal Distribution.

There´s almost no tools to calculate probabilities in other normal distributions. My favorite tool to find probabilities in a Standard Normal Distribution is a chart (attached to this answer) that works like this:

P(x<c=a.bd)=(a.b , d)

Where "a.b" are the whole part and the first decimal of "c" and "d" the second decimal of "c", (a.b,d) are the coordinates of the result in the table, we will be using this to answer these questions. Notice the table only works with the probability under a value (P(z>b) is not directly shown by the chart)

A. We are asked for the minimum value needed to make an "A", in other words, which value "a" give us the following:

P(x>a)=0.10

Knowing that 10% of the students are above that grade "a"

What we are doing to solve it, as I said before, is to transfer information from a Standard Normal Distribution to the distribution we are talking about. We are going to look for a value "b" that gives us 0.10, and then we "normalize backwards".

P(x>b)=0.10

Thus the chart only works with probabilities UNDER a value, we need to use this property of probabilities to help us out:

P(x>b)=1 - P(x<b)=0.10

P(x<b)=0.9

And now, we are able to look "b" in the chart.

P(x<1.28)=0.8997

If we take b=1.285

P(x<1.285)≈0.9

Then

P(x>1.285)≈0.1

Now that we know the value that works in the Standard Normal Distribution, we "normalize backwards" as follows:

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

If we take b=(a+μ)/σ, then a=σb+μ.

a=6(1.285)+84

a=91.71

And because P(x<a)=P(z<b), we have P(x>a)=P(z>b), and our answer will be 91.71 because:

P(x>91.71) = 0.1

B. We use the same trick looking for a value in the Standard Normal Distribution that gives us the probability that we want and then we "normalize backwards"

The maximum score among the students who failed, would be the value that fills:

P(x<a)=0.025

because those who failed were the 2.5% and they were under the grade "a".

We look for a value that gives us:

P(z<b)=0.025 (in the Standard Normal Distribution)

P(z<-1.96)=0.025

And now, we do the same as before

a=bσ+μ

a=6(-1.96)+84

a=72.24

So, we conclude that the maximum grade is 72.24 because

P(x<72.24)=0.025

C. if 5 students did not pass the course, then (Total)2.5%=5

So we have:

2.5%⇒5

100%⇒?

?=5*100/2.5

?=200

There were 200 students taking that course

6 0
3 years ago
What is the value of w
Margarita [4]

Answer:

51 degrees

Step-by-step explanation:

Mhhh..........

7 0
3 years ago
HELP will give brainliest if all correct
ladessa [460]

1. Definition of Parallelogram

2. Angle 2 plus Angle 3 is 180=Def of Supple

3.Angle Congruence Postulate

4. Angle 1 and Angle 3 equal to 180

5 0
3 years ago
Other questions:
  • Geometry, help !!!
    10·1 answer
  • 9) A heptagon has 6 exterior angles with measures of 47, 55, 62, 64, 54, and 49. What is the measure of the interior angle adjac
    10·1 answer
  • Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1
    10·1 answer
  • What happens to the temperature of a substance while it is changing states
    12·2 answers
  • Express 12/3 as a mixed number
    14·2 answers
  • Help plis plis
    7·2 answers
  • URGENT!! PLEASE HELP 30 POINTS! FAKE ANSWERS REPORTED
    9·1 answer
  • what is the opportunity cost of buying a $.75 soda every school day for three years instead of drinking water? assume you are in
    14·1 answer
  • Help I suck at math..
    14·1 answer
  • HELLLPPPP PLEEEAAASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!