Answer:
p^2 + q^2 = 22/9.
Step-by-step explanation:
For a quadratic function ax^2 + bx + c if the zeroes are A and B then
A + B = -b/a and AB = c/a.
2x^2 - 7x + 3
Now p and q are the zeroes of the above function so
p + q = 7/3 and pq = 3/2.
Now p^2 + q^2 = (p + q)^2 - 2pq
= (7/3)^2 - 2* 3/2
= 49/9 - 3
= 49/4 - 27/9
= 22/9.
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
Answer:
See the explanation
Step-by-step explanation:
<h2>Analytic View:</h2>
If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:

or probability of its failing is:

<h3>Example:</h3>
Rolling a number smaller than 3 in a dice.
A= 2 (1,2)
B = 4 (3,4,5,6)

<h2>Relative Frequency View:</h2>
Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.
<h3>Example:</h3>
A batter has 50 safe hits at 200 bats, which makes his batting average
which is the probability.
<h2>Subjective View:</h2>
When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.
<h3>Example:</h3>
A person beleives that probability that the batter will hit safely in the next bat is 0.75
<span>The answer is (change of amount) / (change of time). For the change of amount, the numerator is 40 seagulls - 16 seagulls, leaving a total of 24 seagulls. For the change of time, the denominator is 3 pm - 1 pm, leaving a total of a 2 hour difference. The answer becomes 24 seagulls / 2 hours, or 12 seagulls per hour when simplified.</span>