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
Katarina [22]
2 years ago
12

Please answer with clear instructions so that i can apply this to other questions.

Mathematics
1 answer:
kvv77 [185]2 years ago
7 0

Answer:

10 terms

Step-by-step explanation:

equate the sum formula to 55 and solve for n

\frac{1}{2} n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )

n(n + 1) = 110 ← distribute parenthesis on left side

n² + n = 110 ( subtract 110 from both sides )

n² + n - 110 = 0 ← in standard form

Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)

the factors are + 11 and - 10 , since

11 × - 10 = - 110 and 11 - 10 = + 1 , then

(n + 11)(n - 10) = 0 ← in factored form

equate each factor to zero and solve for n

n + 11 = 0 ⇒ n = - 11

n - 10 = 0 ⇒ n = 10

However, n > 0 , then n = 10

number of terms which sum to 55 is 10

You might be interested in
HELPHELPHELPHELPHELPHELPHELP​
viva [34]

Answer:

the answer is 75

Step-by-step explanation:

225 ÷ 3

75

5 0
3 years ago
Read 2 more answers
2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Aleks04 [339]

Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
3 years ago
Create an expression to the phrase "7 more than the product of 6 and the number n"
8090 [49]
6n+7, 13,19,25,31,37
4 0
3 years ago
Hey can anyone help me with 6th grade homework
Liula [17]
All depends on what help you need
6 0
3 years ago
Read 2 more answers
Ben takes a 45 minute test. After answering 10 questions, the timer indicates that one-fifth of the total time is up. How much t
TEA [102]

it took Ben 9 minutes to answer 10 questions

5 0
2 years ago
Other questions:
  • Point A is at (2, -8) and point C is at (-4, 7).
    7·1 answer
  • an online book store has 173 boxes of books in its warehouse each box has 48 books how many books are in the warehouse​
    9·1 answer
  • Merlin Industries bought a laptop for $2,100. It is expected to depreciate at a rate of 14% per year. What will the value of the
    8·2 answers
  • What is x -8x-70=6x?​
    11·2 answers
  • 6. Amy bought some used books for $4.95. She paid $0.50 each for some books and $0.35 each for the others. She bought fewer than
    6·1 answer
  • This is kinda a math question... Can we add proper fractions to improper fractions? and if yes can you give me a example how? :)
    12·2 answers
  • Express 236% as a mixed number in simplest form
    14·1 answer
  • 2 m − 3 ≤ 5 m + 15 solve this equation
    12·2 answers
  • Simplify 6^-3/6^5<br>answers:<br>• 6^8<br>• 6^-2<br>• 1/6^8<br>• 1/6^2​
    8·1 answer
  • Compare 37,007 and 30,707. Which<br> is greater?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!