Answer:
Two lines are shown intersecting on ordered pair 3, 7.
Step-by-step explanation:
The first of the two lines has a slope of -4 and a y-intercept of 19 (off the top of the graph). It will decrease 4 units for each 1 unit to the right.
The second of the two lines has a slope of +2 and a y-intercept of +1. It will increase 2 units for each 1 unit to the right.
These two lines must intersect in the first quadrant at a point with an x-value less than 5, eliminating the first and last two choices, leaving only the second choice you have listed here.
You would have to examine the graphs to see which has the lines with proper slope and intercept.
My graphing calculator's solution is attached.
After the first three days, the sample size will be half of the initial; therefore, 400g/2= 200g. However, it is asking how long will it take to decay to 100g, so we will take 200g/2= 100g, which will take another three days. It will take 2 half-lives, which will encompass 6 days.
The Bernoulli distribution is a distribution whose random variable can only take 0 or 1
- The value of E(x2) is p
- The value of V(x) is p(1 - p)
- The value of E(x79) is p
<h3>How to compute E(x2)</h3>
The distribution is given as:
p(0) = 1 - p
p(1) = p
The expected value of x2, E(x2) is calculated as:
So, we have:
Evaluate the exponents
Multiply
Add
Hence, the value of E(x2) is p
<h3>How to compute V(x)</h3>
This is calculated as:
Start by calculating E(x) using:
So, we have:
Recall that:
So, we have:
Factor out p
Hence, the value of V(x) is p(1 - p)
<h3>How to compute E(x79)</h3>
The expected value of x79, E(x79) is calculated as:
So, we have:
Evaluate the exponents
Multiply
Add
Hence, the value of E(x79) is p
Read more about probability distribution at:
brainly.com/question/15246027
Answer:
Step-by-step explanation:
3 cm=8 km
1cm=8/3 km
5 cm=8/3×5=40/3 =13 1/3 km
Answer: It has two distinct real zeros.
Step-by-step explanation:
The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:
In this case you have the following Quadractic function provided in the exercise:
Let's make it equal to 0:
You can identify that:
Knowing these values, you can substitute them into the formula and then evaluate:
Therefore, since:
You can determine that the it has two distinct real roots.
