Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
<span>(-12) + 22 +(-5) ×100 =
= -12 + 22 - 500
= - 490 </span>
Answer:

And using the cdf we got:

Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

We know the variance on this case given by :

So then the deviation is given by:

And if we solve for
we got:

The cumulative distribution function for the exponential distribution is given by:

Solution to the problem
And for this case we want to find this probability:

And using the cdf we got:

Answer: there are eight bicycles and 7 tricycles.
Step-by-step explanation:
Let x represent the number of bicycles that are there.
Let y represent the number of tricycles that are there.
There are a total of 15 bicycles and tricycles. This means that
x + y = 15
A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that
2x + 3y = 37- - - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
2(15 - y) + 3y = 37
30 - 2y + 3y = 37
- 2y + 3y = 37 - 30
y = 7
x = 15 - y = 15 - 7
x = 8
The value would be 829.89.
The formula we use is

,
where A is the total amount, p is the principal, r is the rate expressed as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.
We will use 800 for p; 5.25/100 = 0.0525 for r; 365 for n; and (255/365) for t (since it is not a full year):