Answer:
Step-by-step explanation:The following statements are true about exponential functions:
-The domain is all real numbers.
- The input to an exponential function is the exponent.
- The base represents the multiplicative rate of change.
The reason why the other two options are wrong are explained below:
The range of exponential functions is not always includes negative numbers; on the contrary, the range is the set of all positive real numbers.
The graph of an exponential function does not have a horizontal asymptote at x = 0; contrarily, the equation of the horizontal asymptote of the graph of is y = 0, which is the x-axis.
Answer:
Is this the inter question
Answer:
0.0821
Step-by-step explanation:
If the arrival rate is 50 customers per hour (60 minutes), then the expected number of customers in 3 minutes is:
Assuming a Poisson distribution with 2.5 customers per 3 minutes, the probability that zero customers arrive for 3 minutes is:
The probability that the bank stays empty for three minutes is 0.0821.
Answer:
1400
Step-by-step explanation:
3.5% of listeners rated the song as 1 star
49 listeners rated the song as 1 star
49 listeners = 3.5% of listeners
we want to find 100% of listeners. we can do this by multiplying both sides of the equation by 100/3.5, getting one side to 100% and the other to what it is equal to
49 * 100/3.5 listeners = 100% of listeners = 1400
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
