Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The coin is fair, hence p = 0.5.
- The coin is tossed 10 times, hence n = 10.
The probability that is lands tails up at least nine times is given by:
In which:
Hence:
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
More can be learned about the binomial distribution at brainly.com/question/24863377
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From the solution to the inequality, the correct interpretation is that:
Amanda's family can drive 244 miles before they need to refill the gas tank.
The amount of miles they can still travel is modeled by the following <em>inequality</em>:
It is solved similarly to an equality, hence:
Then:
Amanda's family can drive 244 miles before they need to refill the gas tank.
You can learn more about inequalities at brainly.com/question/25629776
Answer;
C) The second arc should be centered at C.
Explanation;
Assuming the goal is to construct a line parallel to AB that passes through given point C.
-Draw a line through C and across AB at an angle creating D.
- With the compass width about half of DC, and center D, draw the first arc to cross both lines.
-Using the same compass width , draw the second arc with center C.
-Then set the compass width to the lower arc (the first arc)
- Move the compass to the second arc. Mark off an arc to make point E
-Draw a straight line through C and E
Thus the line CE will be parallel to line AB
Answer: 
Step-by-step explanation:
To find the inverse of a function start by replacing f(x) with x and replace the original x with y.
Now solve for y
Finally, replace y with the inverse of f(x), 
2(x+2) = 60
x+2 = 30
x = 28
The correct answer is C
