Answer: 57%
Step-by-step explanation:
Answer:
The value of x is 20°
Step-by-step explanation:
Given that angle in a straight line is 180°. Then you can find the value of x:
55° + (6x+5)° = 180°
55° + 6x + 5° = 180
6x + 60° = 180°
6x = 180 - 60
6x = 120°
x = 20°
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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Step-by-step explanation:
step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)
step 2. (17/21)(10/10) - (2/10)(21/21) = x
step 3. 170/210 - 42/210 = x
step 4. 128/210 = 64/105 = x
step 5. x = 64/105.
Segment LO is the median of triangle LMN