Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is

The given line passes through the points (0,-20) and (4,10). So, the equation of line is




Subtracting 20 from both sides, we get

The function form is

f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:The mean number of checks written per day = 0.3370
The standard deviation = 0.5805
The variance = 0.3370
Step-by-step explanation:
Let the random variable x represent the number of checks he wrote in one day.
Given : The number of checks written in last year = 123
Let the number of days in the year must be 365.
Now, the mean number of checks written per day will be :-

We know that in Poisson distribution , the variance is equals to the mean value .


Thus, Standard deviation = 0.5805
Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

and

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
