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anygoal [31]
2 years ago
9

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Mathematics
1 answer:
Artyom0805 [142]2 years ago
7 0

The distance between the ships is 26.65.

<h3>How to illustrate the distance?</h3>

Based on the information given, after 3 hours, the distance of ship B will be:

= 20 + (17 × 3)

= 71.

A = 21 × 3 = 63

Well calculate the square root which will be:

A² + B² = 71² + 63²

= 5041 + 3969

= 9010

Therefore, ✓9010 = 94.92

Finally, the distance will be:

= (63 × 21) + (71 × 17) / 94.92

= (1323 + 1207)/94.92

= 26.65

Learn more about distance on:

brainly.com/question/2854969

#SPJ1

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jekas [21]

u= -5

12u -8u=-20

4u=-20

u=-20/4

u=-5

hopes this helps,

Xeno

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3 years ago
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Please help me figure this out!!
SpyIntel [72]

Answer:

$400 \frac{18}{25} OR \frac{10018}{25}

Step-by-step explanation:

$400 stays the same, 72 cents is 72/100. Simplify and voila

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Jina and her husband are each starting a saving plan. Jina will initially set aside $650 and then add $135 every month to the sa
Basile [38]

Step-by-step explanation:

If A=650+135N; and B=585N,

then A+B= 650+135N+585N=650+620N

T=720N+650

4 0
3 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
3 years ago
Some carpet cleaning costs are 1 room for $125, 2 rooms for $175, 3 rooms for $225. and 4 rooms for $275.00.Find and interpret t
Free_Kalibri [48]
First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50

then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75

The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.
8 0
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