Answer:
Brian had $30 initially.Brian had $30 initially.
Step-by-step explanation:
WE are given the following in the question:
Let Brian have x dollars and Colin have y dollars.
Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:
"Brian spent £27 that day. Brian now had £3 less than Colin."
Thus, we can write the equation:
Solving the two equation by substitution, we get,
Thus, Brian had $30 initially.
Answer: The quadrilateral HIJK is a parallelogram.
Explanation:
It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.
If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.
First we find the midpoint of HJ.
Now, find the midpoint of IK.
The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.
By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.
Answer:
Mean is 3.05
Standard deviation is 1.69.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The probability of x sucesses on n repeated trials, with p probability.
In this problem, we have a sample of 50 students, so . The proportion of all UNC students that are foreign students is 0.061, so
.
The mean is given by the following formula:
The standard deviation is given by the following formula: