Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Answer:
Step-by-step explanation:
-5x - 7 ≤ 2
+ 7 ≤ +7
---------------
-5x ≤ 9
---- -----
-5 -5
X=-1.8
-5(-1.8)-7 ≤ 2
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
32.1%
Did you type something in wrong?
Step-by-step explanation:
9+4+15=28 total balls
9=total red balls
total red balls/total balls= probability of pulling out one red ball
9/28
9÷28=32.1%
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