Answer:
The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.
Step-by-step explanation:
For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.
There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.
Answer: your answer for the equation: ((5.4) x (2.4) = 12.96
for the second one it would be ((1.67) x (3.5) = 5.845
~I hope this is correct and has helped you, have a great day/night~
Step-by-step explanation:
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 2
- 4(- 2)³ - 11(- 2)² +3(- 2) - 6
= 2(16) - 4(- 8) - 11(4) - 6 - 6
= 32 + 32 - 44 - 12
= 64 - 56
= 8
Answer:
Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so 
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:
So
Step-by-step explanation:
Hence, 65 over 100 of 1200 is 780.
