Factor and solve 121r^2-64t^2
1 answer:
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The correct option D; models the depth of the submarine.
<h3>Define the term parabola?</h3>- Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.
When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.
Both x = 5 as well as x = 40 have zeros.
Since it's a parabola,
D(x) = a(x-5)(x-40)
vertex = (22.5, -146)
Thus,
-146 = a(22.5-5)(22.5-40)
a = -146/(22.5-5)(22.5-40)
a = 0.4767
Put value of a in equation.
D(x) = a(x-5)(x-40)
D(x) = 0.4767(x-5)(x-40)
The equation above is quadratic function model.
We can see from the graph that:
(5) and (0), respectively, are points on the graph (40,0).
Consequently, if x = 5 when y = 0, then.
y(min) > -160.
Additionally, the table in option (D) represents the submarine's depth.
To know more about the parabola, here
#SPJ4
The graph of the question with the options are attached.
Answer:
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.
Step-by-step explanation:
Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.
It found that 368 of the Indians and 130 Asians listened to rap music every day.
Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
Alternative hypothesis:-
Level of significance α = 0.05
The test of statistic
where
p = 0.414
and q = 1-p = 1- 0.414 =0.586
on calculation , we get
z = 0.300 ><1.96 at 95 % level of significance
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap every day.