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2 years ago

Two ships leave port at the same time. One

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

7 0

Answer:

19.18 km

Step-by-step explanation:

The angle between the directions is 127 - 46 = 81

Use the law of cosines.

Let d = the distance between the ships

d^2 =10^2 +18^2 - 2*10*18 cos 81

= 100 + 324 - 360cos 81

= 424 - 360(.156434...)

= 367.6835

d = 19.18 km

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wolverine [178]

Answer:

Good Luck!

Step-by-step explanation:

6 0

2 years ago

The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct

Zarrin [17]

The functions would be:

D. y=x³

We can check it out.

(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
(2,8); x=2; y=8 ⇒8=(2)³=2*2*2=8
(3,27); x=3; y=27 ⇒27=3³=3*3*3=27
(4,64): x=4; y=64 ⇒64=4³=4*4*4=64
(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125

8 0

3 years ago

A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables

nikitadnepr [17]

Answer:

The distribution is $\frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

Solution:

As per the question:

Total no. of riders = n

Now, suppose the $T_{i}$ is the time between the departure of the rider i - 1 and i from the cable car.

where

$T_{i}$ = independent exponential random variable whose rate is $\lambda$

The general form is given by:

$T_{i} = \lambda e^{- lambda}$

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

$S_{n} = T_{1} + T_{2} + ........ + T_{n}$

$S_{n} = \sum_{i}^{n} T_{n}$

Now, the sum of the exponential random variable with $\lambda$ with rate $\lambda$ is given by:

$S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

5 0

3 years ago

What is the product of -15 and -3

gayaneshka [121]

The product would be -18

6 0

3 years ago

Read 2 more answers

Can someone help me pls

Wittaler [7]

Answer:

3 cm

Step-by-step explanation:

$V_{cylinder} = 189\pi \: cm^3$ (Given)

$h_{cylinder} = 21\: cm$ (Given)

Formula for $V_{cylinder}$ is given as:

$V_{cylinder} = \pi r^2h$

$\implies 189\pi = \pi r^2(21)$

$\implies \frac{ 189\pi}{21\pi} = r^2$

$\implies 9 = r^2$

$\implies \pm\sqrt 9 = r$

$\implies \pm 3 = r$

Length of radius can not negative

$\implies r = 3 \: cm$

Hope it helps you in your learning process.

8 0

2 years ago

Read 2 more answers