A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec
tangle?
1 answer:
Answer:
The coordinates of the fourth vertex of the rectangle is
Step-by-step explanation:
Let
using a graphing tool
Plot the vertices of the rectangle
The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C
The intersection point is
see the attached figure
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Answer:
Ella got married on a Wednesday.
Step-by-step explanation:
Let's solve this problem by understanding the following:
Each week is composed by 7 days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
So 1 week = 7 days;
Because the married day was on the 9074th day of her life, we can find the number of weeks that 9074 days represent:
This means that 9074 days represent 1296.285714 weeks, which can be interpreted as 1296 entire weeks and a fraction of a week (0.285714).
Now let's calculate how many days 0.285714 weeks represent:
This means that 9074 days are actually 1296 weeks and 2 days, because Ella was born on a Monday, and because after 7 days (1 week) it is Monday again, after 1296 weeks it is Monday, but as we also calculated 2 extra days, then the married day is two days after a Monday, that is a Wednesday.
In conclusion, Ella got married on a Wednesday.
Answer:
a. p = 0.25
b. n = 10, p = 0.25.
c. n = 10, p = 0.25.
d. n = 20, p = 0.25.
Step-by-step explanation:
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
a. For any single question on the quiz, what is p = chance of a correct guess?
4 options, 1 of which is correct. So
So p = 0.25.
b. Let X = number of correct guesses that Isabelle makes. What are the values of n and p for the binomial distribution that describes X?
Should be Ed here.
Ed guesses answers for the first 10 questions
This means that .
p is the same, so n = 10, p = 0.25.
c. Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y?
10 question, so , p is the same.
d. Consider X + Y = total correct guesses that Isabelle and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y?
20 questions, so
10 for Ed, with 0.25 probability, 10 for Taylor, with 0.25 probability. So
So n = 20, p = 0.25.