All Tasks
Clinic waiting room
In a clinic the probability for a patient to wait less than 10 minutes before entering for a visit is 0.8. What is the probability for a patient, who goes 2 times to the clinic, to wait, at least 1 time, less than 10 minutes.
# Multi-stage random experiments
Training
7
Derivative of a Function
In the picture you can see the function $f(x)=-x^2+2$.
Think about the derivative and imagine drawing it. What is true?
# Derivation of functions
Training
11
Logarithm Properties: The product rule
Wich of the following expressions is equal to $\log_b(x \cdot y)$?
# Logarithm properties
Learning
10
Calculating with the Derivative of e
Calculate the derivative for $f(x)=3e^x$ and $g(x)=e^{x^2}$ and give the answer for $f'(2)$ and $g'(2)$. Round to three decimal places.
# Derivation of functions
Training
11
Velocity of a Stone
The velocity of a stone sinking in a lake is given by \begin{equation}v(t)=2.5\cdot(1-e^{-0.1\cdot t})\end{equation} with $t$ in seconds and $v(t)$ in $\frac{m}{s}$.
How fast is the stone sinking at the beginning? How fast after ten seconds?
Round to three decimal places, if needed.
# Exponential function
Modeling
11
Frequencies
In the table above you can see the basketball results of the four children- namely Lena, Angeló, Marie and Juan. Which of them has the best scoring rate and it’s therefore the best player of the game? Tick the right name!
# Equations & Inequations
Training
6