Answer:
127
Step-by-step explanation:
The angles add up to 180° since they are on a straight line. Find 3x - 5.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 180 - 4
= 176
x = 176 ÷ 4
x = 44
3x - 5 = 3(44) - 5
= 132 - 5
= 127
Point slope form : y-y1 = m(x-x1)
slope intercept form : m=(y-y1)/(x-x1)
standard form : Ax + By = C
just pick any random points on a graph and plug the same points into all three forms.
<span>4.375×10 = 43.75
</span><span>1 7/8 = 15/8 = 1.875
</span>1.428×10 = 14.28
so order from <span>Least to greatest:
</span>0.25 inches, 1.5 inches, 1 7/8 inches, 1.428×10 inches and <span>4.375×10 inches</span>
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<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.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
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