Answer:
0.6125
Step-by-step explanation:
We have,
P(ripe avocados) = 0.45 , n = 5
by binomial distribution,
P(x=k) = 
P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)
P(x=2) = 
= 10 x (0.45)² x (0.55)³
= 0.3369
P(x=3) = 
= 10 x (0.45)³ x (0.55)²
= 0.2756
So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756
= 0.6125
(1 - 3i)(5 + 5i)(4 - 1i)
= (5 + 5i - 15i - 15i²)(4 - 1i)
= (5 - 10i - 15i²)(4 - 1i)
= 20 - 40i - 60i² - 5i + 10i² + 15i³
= 20 - 45i - 50i² + 15i³
Answer:
<u>The constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>
<u>And this is the rule:</u>
<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>
Step-by-step explanation:
Let's find the unknown term and the sequence:
1st term = 3/10
2nd term = 2/5 = 4/10
3rd term = x
4th term = 3/5 = 6/10
5th term = 7/10
<u>As we can see the constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>
<u>And this is the rule:</u>
<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>
a₂ = a₁ + 1/10 ⇒ a₂ = 4/10 = 2/5 (Simplifying)
a₃ = a₂ + 1/10 ⇒ a₃ = 5/10 = 1/2 (Simplifying)
a₄ = a₃ + 1/10 ⇒ a₄ = 6/10 = 3/5 (Simplifying)
a₅ = a₄ + 1/10 ⇒ a₅ = 7/10
For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:
Thus, the value of x is 9.3
Answer:
