Answer:
72.69% probability that between 4 and 6 (including endpoints) have a laptop.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A study indicates that 62% of students have have a laptop.
This means that 
You randomly sample 8 students.
This means that 
Find the probability that between 4 and 6 (including endpoints) have a laptop.
72.69% probability that between 4 and 6 (including endpoints) have a laptop.
First we need to find the radius of the cylindrical tree trunk if the circumference C=4 feet: C=2rπ, r=4/(2π)=2/π. Now we find the volume V: V=r^2π*h, where h=20 feet is the height. So we input the numbers: V=(2/π)^2*π*20=(4/π²)*π*20. π in the nominator and the denominator cancel out: V=(4/π)*40=80/π. The volume of the cylindrical tree trunk is V=80/π feet^3
Answer:
It is not a function!
Step-by-step explanation:
It is not a function!
A function can't have two y-values assigned to the same x-value. In this case, you can se that for x=1 we have two y-values, which are y= -2 and y= -3.
We can have have two x-values assigned to the same y-value, that's why it's okay that for x=1 and x=3 we have the same y-value y=-2
The scenario described above is like dividing a right cone from the vertex down to the center for the base. The polygon that can be formed from the division or in this case slicing is a triangle. Thus, the answer to this item is letter B.
Answer:
Step-by-step explanation:
The formula of a slope:
If
m > 0, then a line is rising
m < 0, then a line is falling
m = 0, then a line is horizontal
m is undefined, then a line is vertical
<h2>a.</h2>
(2, 1) and (4, 5)
<h2>b.</h2>
(-1, 0) and (3, -5)
<h2>c.</h2>
(2, 1) and (-3, 1)
<h2>d.</h2>
(-1, 2) and (-1, -5)
