Triangle ABC is similar to triangle APQ. They have corresponding line segments. Line segment PQ corresponds to BC.
Answer:
a14 = -40,960
Step-by-step explanation:
The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...
an = a1·r^(n-1)
an = 5·(-2)^(n-1)
The 14th term is then ...
a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192
a14 = -40,960
Answer:
And we can find this probability with the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule:
Answer:
The 2 numbers are 22 and 23
Step-by-step explanation:
let the two numbers be x and x+1
according to the question:
(x+1)^2 - x^2 = 45
x^2+1+2x - x^2 = 45
2x + 1 = 45
2x= 44
x = 22
the other number is x+1 = 22+1 = 23
therefore, the two consecutive numbers are 22 and 23
Hope it helped u....