
The answer is the third option, -7.
Hope this helps.
Answer:
B. 0.03110
Step-by-step explanation:
Given
Probability of Hit = 60%
Required
Determine the probability that he misses at 6th throw
Represent Probability of Hit with P

Convert to decimal

Next; Determine the Probability of Miss (q)
Opposite probabilities add up to 1;
So,


Substitute 0.6 for p


Next,is to determine the required probability;
Since, he's expected to miss the 6th throw, the probability is:



Hence;
<em>Option B answers the question</em>
6/24 and 5/16 are the two friends who would have drank 1/4 of the juice.
Given the exponential function:

The starting point is found when x = 0.
So, let's substitute x by 0.

Answer: The starting point is (0, 1.004).
Step-by-step explanation:

In this case we have:
Δx = 3/n
b − a = 3
a = 1
b = 4
So the integral is:
∫₁⁴ √x dx
To evaluate the integral, we write the radical as an exponent.
∫₁⁴ x^½ dx
= ⅔ x^³/₂ + C |₁⁴
= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)
= ⅔ (8) + C − ⅔ − C
= 14/3
If ∫₁⁴ f(x) dx = e⁴ − e, then:
∫₁⁴ (2f(x) − 1) dx
= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx
= 2 (e⁴ − e) − (x + C) |₁⁴
= 2e⁴ − 2e − 3
∫ sec²(x/k) dx
k ∫ 1/k sec²(x/k) dx
k tan(x/k) + C
Evaluating between x=0 and x=π/2:
k tan(π/(2k)) + C − (k tan(0) + C)
k tan(π/(2k))
Setting this equal to k:
k tan(π/(2k)) = k
tan(π/(2k)) = 1
π/(2k) = π/4
1/(2k) = 1/4
2k = 4
k = 2