Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
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
Answer:
76.5
Step-by-step explanation:
if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5
Answer:
D.) All the above answer choices are good characteristics of a summary.
Step-by-step explanation:
A summary is one-third of the original context. It gives the main idea of the writing. It includes all the most important and relevant supporting details. One can understand the whole story or text by reading the summary.
Answer:
If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:
And the mean for this case would be:
And the standard deviation would be given by:
Step-by-step explanation:
If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:
And the mean for this case would be:
And the standard deviation would be given by:
Answer:
1.5lb/ounces
Step-by-step explanation:
Given:
Mass of dry ice Carmen uses = 12lb
Mass of root beet = 8ounces
Unknown:
Ratio/Proportional constant for number of pounds to number of ounces of root beer extract = ?
Solution:
To solve this problem,
Ratio = 
Ratio = 
= 1.5lb/ounces
