Answer:
Step-by-step explanation:
Answer:
EK = 8
Step-by-step explanation:
Intersecting Chords Formula: a • b = c • d
BK * KD = EK * KC
4 * 10 = (x+1) * (x-2)
40 = x^2 +x-2x-2
40 = x^2 -x -2
0 = x^2 - x-2-40
0 = x^2 -x -42
Factor
0 = (x-7) (x+6)
Using the zero product property
x-7 = 0 x+6 =0
x=7 x=-6
X is not negative
x=7
EK = x+1
EK = 7+1
EK = 8
Answer:
a)
b)
And adding the values we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of teens that have heard of a fax machine", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
For this case we want this probability:
Part b
For this case we want this probability:
And adding the values we got:
Step-by-step explanation:
all work is pictured and shown
Answer:
The length of side along the river is 68 m
Step-by-step explanation:
Area of trapezium = 10200 m²
Length of side along the road (a) = x
Length of side along the river (b) = 2x
Height = 200 m
We need to find Length of side along the river.
The formula used is:
Putting values and finding length:
So, Value of x = 34
Length of side along the road (a) = x = 34
Length of side along the river (b) = 2x = 2(34) = 68
So, the length of side along the river is 68 m