Answer:
The parameters of this exponential distribution is 
= 
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where, = parameter of distribution.
Now, the mean of exponential distribution is = 
which is given to us as average value of 27 minutes that means 
.
So, X ~ Exp( ) .
Therefore, the parameter of this exponential distribution is .
A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. ... Below is a 4 x 1 column matrix. A row matrix consists of a single row.
∆x = (4--4)=8
∆y = (7--3)= 10
Step-by-step explanation:
distance is given by;
d² = (∆y)²+ (∆x)²
d = √((∆y)²+ (∆x)²)
d = √((4+4)² + (7+3)²)
d = √((8²) + (10²))
d = √(64+100)
d = √164
<em><u>d =12.806 units</u></em>
Answer:
<u>Proportion:</u>
<u>4/15 = 20/75</u>
<u>Sam will bike 37.5 km after 10 days.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
4/15 = 20/75
b. Solve for the amount of km in part (a).
Let's use the proportion, this way:
20/75 = 10/x
20x = 75 * 10
20x = 750
x = 750/20
x = 37.5
<u>Sam will bike 37.5 km after 10 days.</u>
