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Komok [63]
3 years ago
13

Line e passes through points (7, 8) and (4, 10) Line f is parallel to line e. What is the slope of line f?

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0
<h3>Answer:  -2/3</h3>

==================================================

Explanation:

Use the slope formula to find the slope of line E

m = (y2-y1)/(x2-x1)

m = (10-8)/(4-7)

m = 2/(-3)

m = -2/3

The slope of line E is -2/3

The slope of line F is also -2/3 since parallel lines have equal slopes but different y intercepts.

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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
The temperature in Fond cu Lax, Wisconsin, is 48 degrees. The temperature in Houston, Texas, is 80 degrees. What is the differen
DochEvi [55]

Answer:

Step-by-step explanation:

Temperature in Fond cu Lax=48*

Temperature in Houston=80*

Temperature difference=80-48=32*

3 0
3 years ago
A rectangular pyramid has a volume of 1,296 mc014-1.jpg, a height of 24 in., and a base length of 6 in. What is the width of its
stiks02 [169]
V=L X W X H

1,296=6 x w x 24
1,296=144 x w
1296/144=w
9=width
3 0
4 years ago
Read 2 more answers
5(x+3)-5<br> simplify this.
nignag [31]

Answer:

5x+10

Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

8 0
3 years ago
State whether the data described below are discrete or​ continuous, and explain why. The exact mass (in grams )of food eaten by
NARA [144]

Answer:

A. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

The data surveyed is the exact mass, in grams, of food eaten by each person each day.

This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.

5 0
3 years ago
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