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3 years ago

Describe Henry's location relative to the library.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

4 0

Answer:

Part 1)

Henry's location is at the ordered pair $(-3,4)$

Libray's location is at the ordered pair $(2,-3)$

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair $(-3,4)$

Libray's location is at the ordered pair $(2,-3)$

Part 2) Describe Henry's location relative to the library

Observing the graph

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

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Please help and thanks!~<br> ~~~~~~~~~~~~~~~~~~~~~~~<br> 20 points!~

andriy [413]

In the first one divide -3 by both sides and when you get an answer plug it back in for x to check and got second one multiple bu four on both sides and you will get an answer. And put that answer on the graph.

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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 slope of the line that passes through the points (3, 4) and (5, –4)?

balandron [24]

M = -4 -4 / 5- 3 = -8/2 = -4

y = -4x + b

4 = -12 + b

b = 16

y = -4x + 16

3 0

3 years ago

The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *

Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

5 0

3 years ago

Can someone help out?

Tamiku [17]

Answer:

152.9 ft

Step-by-step explanation:

14*8=112

8*4=32

112+32+8.9=152.9

8 0

3 years ago