Answer:
The answer is B) y = Sin(3x)
Step-by-step explanation:
In order to find this, you need to look for how long it takes the period to repeat. This means other than the origin, we need to find the next place that the graph hits y = 0. In this case, it is at 2/3. Since Sin2
= 0, we need what is inside of the parenthesis to equal 2
.
The only thing that you could multiply 2/3 by to get 2
m is 3. Therefore, we must have 3x in the original equation.
Answer:
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
<em> P(920≤ x≤1730) = 0.7078 </em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the Population = 1100 lbs
Standard deviation of the Population = 300 lbs
Let 'X' be the random variable in Normal distribution
Let x₁ = 920
Let x₂ = 1730
<u><em>Step(ii)</em></u>
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)
= P(-0.6 ≤Z≤2.1)
= P(Z≤2.1) - P(Z≤-0.6)
= 0.5 + A(2.1) - (0.5 - A(-0.6)
= A(2.1) +A(0.6) (∵A(-0.6) = A(0.6)
= 0.4821 + 0.2257
= 0.7078
<u><em>Conclusion:-</em></u>
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
<em> P(920≤ x≤1730) = 0.7078 </em>
Answer:
(1, -3)
First option
Step-by-step explanation:
The minimum point on the graph is also the <u>vertex</u>.
The quadratic function equation is given in <u>vertex form</u>, which is
Using this equation, the vertex is (-h, k).
Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.
In f(x) = (x - 1)² - 3 using (-h, k) is:
h = -1 => -h = 1
k = -3
Therefore the vertex is (1, -3).