Answer:
Step-by-step explanation:
<u>Consider the parent function:</u>
The graph of the function open up and the vertex is at the origin, the point (0, 0)
Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:
The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:
<u>Since all the options have 1/20 as a coefficient, our function is:</u>
This is option B
Answer:
<h3>The given polynomial of degree 4 has atleast one imaginary root</h3>
Step-by-step explanation:
Given that " Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer:
<h3>To find how many imaginary roots does the polynomial have :</h3>
- Since the degree of given polynomial is 4
- Therefore it must have four roots.
- Already given that the given polynomial has 1 positive real root and 1 negative real root .
- Every polynomial with degree greater than 1 has atleast one imaginary root.
<h3>Hence the given polynomial of degree 4 has atleast one imaginary root</h3><h3> </h3>
<h3>
Answer: 0.00591716</h3>
Step-by-step explanation: Use a ti-34 calculator.
To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
Answer:
Probability Mass Function:
x: 0 1 2 3
P(x): 0.000064 0.004608 0.115902 0.884736
Step-by-step explanation:
We are given the following information:
We treat correct classification as a success.
P(correct classification) = 0.96
Then the number of classification follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 3 and x = 0, 1, 2, 3
We have to evaluate:
PMF:
x: 0 1 2 3
P(x): 0.000064 0.004608 0.115902 0.884736
