Answer:
1/48
Decimal Form: 0.02083
Step-by-step explanation:
First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.
Angle1+ angle2+angle3=180.
Which means that 90+(x+15)+2x=180.
After finding the value of x, which is 25 in this case, solve for each angle.
X+15=25+15=40.
2x=25*2= 50
The value of the smallest angle is 40 degrees.
Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
Answer:
k=-1/5
Step-by-step explanation:
Factor and set each factor equal to zero.
Add 3 to both sides of the equation.
75k^2+30k+3=0
Factor 3 out of 75k^2+30k+3.
Factor using the perfect square rule.
Divide each term by 3 and simplify.
Set the 5k+1 equal to 0.
Solve for k.
