Answer:
Option H
Step-by-step explanation:
Option F
If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
True.
Option G
If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
True
Option H
If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.
Since, vertical angles don't prove the lines cut by a transversal are parallel.
So the statement is False.
Option J
If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.
True.
Answer:
The answer is A!
Step-by-step explanation:
7:2
Step-by-step explanation:
Step one is to think about how often tacos are made. Tacos are made often. Now think about how often Wraps are made, not very often. After some research, the ratio is 7 burritos to 2 wraps. This would make the answer 7:2. Unfortunately tacos are more loved than Wraps.
Using the binomial distribution, the probabilities are given as follows:
- 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
- 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
- Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
<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.
The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:

In which:

Then:






Hence:


0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:





Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Y-y1=m(x-x1)
y-5=10(x-1)
Y-5=10x-10
Y=10x-5