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OverLord2011 [107]
3 years ago
15

S and T are mutually exclusive events. Find p(s or t) p(s)=10/13, p(t)=1/3​

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

p(s) + p(t) = p(s or t)

just add the fraction together. remember denominators must be the same

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The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
3 years ago
Find the value of x by filling in the blanks in the provided statement- reason solution
krek1111 [17]

Answer:

1.

Statement: m∠A + m∠B + m∠C = <u>180°</u>

Reason: <u>Sum of Angles in a Triangle</u>

2.

Statement: 28° + x - 4° + <u>2x</u> = 180°

Reason: Substitution

3.

Statement: x = <u>52°</u>

Reason: Algebra

7 0
3 years ago
162 WATER BOTTLES IN 9 CASES =
4vir4ik [10]
Assuming this question is trying to enquire as to how many bottle of water there are in each case, you simply need to divide 162 by 9 to find the answer, which is that there are 18 bottles of water in each case.
7 0
3 years ago
Read 2 more answers
The angle of elevation of the top of the tower from a point on the ground is 30 degree, If the height of the tower is 40 space m
kiruha [24]

Answer:

40\sqrt3\ m

Step-by-step explanation:

Given that,

The height of the tower, h = 40 m

The angle of elevation is 30°

We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,

\tan(30)=\dfrac{h}{x}\\\\\dfrac{1}{\sqrt3}=\dfrac{40}{x}\\\\x=40\sqrt3\ m

So, the distance between the tower and the point is equal to 40\sqrt3\ m.

7 0
3 years ago
The distance between Alphaville and Betaville is seven hundred and
LenKa [72]

Answer:

Step-by-step explanation:

Distance = speed × time

A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is

62 × 2.5 = 155 miles

Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is

57 × 2.5 = 142.5 miles

A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is

155 + 142.5 = 297.5 miles

The distance between both cars after two and a half hours is

725 - 297.5 = 427.5 miles

7 0
3 years ago
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