Answer:
c. 1 and 3
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.
Please see the attached image below, to find more information about the graph s
The equations are:
1) y = sin (3x + π/6)
2) y = cos (3x - π/6)
3) y = cos (3x - π/3)
Looking at the graphs, we can see that the identical ones
are equations one and three
Correct option:
c. 1 and 3
<u>Solution-</u>
The atmospheric pressure at sea level = 14.7 lb/in²
Pressure gets reduced by half for each 3.6 miles we move up.
Taking,
x = miles above the sea-level
y = pressure in lb/in²
0 14.7
3.6 7.35
7.2 3.675
10.8 1.8375
It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.
As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.
By plotting the graph in excel taking these data set, the following plot was obtained.
Answer:
Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.
Step-by-step explanation:
We are given that an annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. The occupants of half the residences object to being annexed.
Also, a random sample of 10 residents is taken.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 10 residents
r = number of success = at least 3
p = probability of success which in our question is probability that
residents favor the annexation suit, which is calculated as below;
p = =
= 0.50
<em>LET X = Number of residents favoring the annexation suit</em>
So, it means X ~
Now, Probability that in a random sample of 10 at least 3 favor the annexation suit is given by = P(X 3)
P(X 3) = 1 - P(X < 3) = 1 - P(X
2)
= 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
=
=
=
= =
= 0.9453
Therefore, Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.