If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case
and
.
This shows that the only correct choice is A.
The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.
<u>Step-by-step explanation:</u>
For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.
Choice 1:
Six yards of rope costs $ 5.50

Choice 2:
Four yards costs $ 4.75

Thus, the best choice is the first one. Because it is the lowest unit cost.
Answer:
1.5
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
768 ÷ 1536 = 0.5
384 ÷ 768 = 0.5
192 ÷ 384 = 0.5
96 ÷ 192 = 0.5
This indicates that the terms form a geometric sequence with
= a
where a is the first term and r the common ratio
Here a = 1536 and r = 0.5, thus
= 1536 ×
= 1.5
Answer:
log (8)
Step-by-step explanation:
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>