If 25% of the people <em>are</em> vaccinated, then 75% of the people are <em>not</em> vaccinated. Of those not vaccinated, each has a 50% chance of contracting the disease. The probability that someone is both not vaccinated and contracts the disease is (0.75)(0.5)=0.375.
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Answer:
Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.
We know that sum of cubes is in form .
We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.
Let us check 3rd and 4th options one by one.
We can rewrite our expression by writing terms as cubes:
Therefore, expression is a sum of cubes.
In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent as a cube. Therefore, 4th expression is not correct.
Answer:acute
Step-by-step explanation:
Answer:
(4,-10)
Step-by-step explanation:
You set them equal to each other.
You get x=4
Sub in 4 for one of the equations
y=-10
Answer:
Step-by-step explanation:
a² + b² = c²
a² + 9² = 12²
a² + 81 = 144
a² = 63
a = √63
