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klemol [59]
3 years ago
12

In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function be

low shows the number of fish in the river f(x) after x days:
f(x) = 100(1.05)x

Which of the following is a reasonable domain for the function?
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
I don’t know but I hope you have a good day
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Evaluate the piecewise at x=-4 and x=4
Umnica [9.8K]
If x = -4
f(x) = (-4)^2 = 16

if x = 4
f(x) = √4 = 2

hope it helps
3 0
3 years ago
Please help me I don’t understand this
IrinaVladis [17]

Answer:

perfect sq=4/25,9,36

perfect cube=8/125,1/27

both=1,64

6 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
Which of the following is a diagonal matrix?
IRINA_888 [86]

A matrix is diagonal if

i\neq j \implies A_{i,j}=0

In other words, you want non-zero elements only when the indices of the row and the column are the same: the first element of the first row must be non zero, the second element of the second row must be non-zero, and so on. All other elements must be zero.

5 0
4 years ago
Read 2 more answers
Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper
soldi70 [24.7K]

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

P (X\cap Y)=P(X)\times P(Y)

It is provided that events <em>A</em> and <em>B </em>are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

3 0
3 years ago
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