Answer:
Step-by-step explanation:
Tn = ar^(n-1)
a = 4, r = 8/4 = 2 for n = 15
T15 = 4 × 2^(15-1)
= 4 × 2^14
= 4 × 16384
= 65536
Answer:
base angles each measure 68 degrees
third angle measures 34 degrees
Step-by-step explanation:
let '2x' = measure of each base angle
let 'x' = measure of third angle
the sum of all three must equal 180 degrees so you can write this equation:
2x + 2x + x = 180
combine 'like terms' to get:
5x = 180
divide each side by 5 to get:
x = 34
therefore, twice 'x' is 68
check:
68 + 68 + 34 = 180
180 = 180
Answer:
1.83% probability there are no car accidents on that stretch on Monday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.
This means that 
What is the probability there are no car accidents on that stretch on Monday?
This is P(X = 0).
1.83% probability there are no car accidents on that stretch on Monday
Algebra Examples
Popular Problems Algebra Divide (x^3-125)/(x-5)
x
3
−
125
x
−
5
x
3
-
125
x
-
5
Simplify the numerator.
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(
x
−
5
)
(
x
2
+
5
x
+
25
)
x
−
5
(
x
-
5
)
(
x
2
+
5
x
+
25
)
x
-
5
Reduce the expression by cancelling the common factors.
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x
2
+
5
x
+
25
