Answer:
Step-by-step explanation:
Let's assume that you have a sequence written out in always increasing or always decreasing order.
If each new term is equal to the previous term, plus a certain constant, then the sequence is arithmetic. Example: 2, 7, 12, 17, 22, ... (the additive constant is 5).
If each new term is equal to the previous term, multiplied by a certain constant, then the sequence is geometric. Example: 2, 8, 32, 128, ... (the multiplicative constant is 4).
If the spacing between terms is not a constant, then the sequence is neither arith. nor geom.
If all new adjacent terms are not found by multiplying the previous term by the same constant, the sequence is not geometric (and not arithmetic).
Answer: X = -10
Step-by-step explanation:
Times two to the parentheses
Minus X from both sides, left with 3X-16=-46
Add 16 to both sides 3X=-30
Divide both sides by 3
Answer X=-10
When multiplying a whole number by a fraction, put the whole number as a fraction over one. 9/1 times 3/4. When multiplying fractions, you multiply straight across. 9(3)=27 and 1(4)=4. The new fraction is 27/4.
Answer:
105
Step-by-step explanation:
The numbers that can be used to form triangles are collectively called "triangle numbers." The n-th triangle number is the sum of all numbers less than or equal to n. It is ...
n(n+1)/2
For n=14, the number is 14(15)/2 = 7·15 = 105.
The clerk used 105 oranges to make the arrangement.
Answer:
By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by 
.
What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean
By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean
