Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
Answer: 7/8
Step-by-step explanation: Notice that 1/2 and 3/8 are unlike fractions. Our first when adding unlike fractions is to get a common denominator.
The common denominator of 2 and 8 will be the least common multiple of 2 and 8 which is 8.
To get an 8 in the denominator of 1/2, we multiply the numerator and the denominator by 4 which gives us 4/8.
Notice that 3/8 already has an 8 in the denominator so we leave it how it is.
Now we are adding like fractions.
To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 4 + 3 which gives us 7 and we put this over our original denominator which is 8 and we have our answer. Also, notice that 7/8 is in lowest terms so it's our final answer.
This means that 3/8 + 1/2 = 7/8
Answer:
16
Step-by-step explanation:
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose ___33__ dollars on each policy sold
Step-by-step explanation:
Given :
The amount the company Avicenna must pay to the shareholder if the person die before 70 years = $ 26,500
The value of each policy = $497
It is given that there is a 2% chance that people will die before 70 years and 98% chance that people will live till the age 70.
The expected policy to be sold= policy nominal + chances of death
= 497 + [98% (no pay) + 2% (pay)]
= 497 + [98%(0) + 2%(-26500)]
(The negative sign shows that money goes out of the company)
= 497 - 2% (26500)
= 497 - 530
=33
Therefore the company loses 33 dollar on each policy sold in the long run.