Answer:
Full question attached below.
Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1
Step-by-step explanation:
There is no difference between the systems of line 1 and 4
1st system
5x + 3y = 14
4x - 2y = -2
4th system
10x + 6y = 28
12x - 6y = -6
In the fourth system, we factor number 2 from the first line, and number 3 from the second line
4th system
2[5x + 3y] = 2[14]
3[4x - 2y] = 3[-2]
If we simplify,
4th system
[5x + 3y] = [14]
[4x - 2y] = [-2]
We get the same system as the 1st
Therefore, the solution is the same.
Answer:
C. 12
Step-by-step explanation:
It takes her 4 weeks to walk a mile a day for a week. For 3 miles a day, mulitply 4 by 3 to get 12 weeks.
Give me brainliest please
Answer:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
Alternate Interior Angles forms when two parallel lines cut by transversal.
Step-by-step explanation:
Transversal is a line that intersects two or more lines.
Alternate Interior Angles forms when two lines are cut by a Transversal, the pairs of angles on either side of the transversal and inside the two lines.
Take 8 angles, 1,2,3,4,5,6,7 & 8 present on the lines A & B. Let C is a transversal cutting the lines A & B.
Here the pairs of angles are 1 & 5, 2 & 6, 3 & 7, 4 & 8.
Alternate Interior angles are 3 & 5, 4 & 6.
If two parallel lines are cut by a transversal, then the alternate interior angles should form congruent.
