Use hypotenuse leg theorem.
Answer:
<u>41 years ago</u>
Step-by-step explanation:
Let the no. of years ago be x.
Then, the equation we need would be :
=> 80 - x = 3(54 - x)
=> 80 - x = 162 - 3x
=> 2x = 82
=> x = 41
Sally's mother was 3 times her age <u>41 years ago</u>
Checking
=> Sally = 54 - 41 = 13
=> Mom = 80 - 41 = 39
=> 13 x 3 = 39 [∴Verified]
Answer:
The insurance company can make $0.78 for each policy that it sells
Step-by-step explanation:
The loss incurred to the insurance company for each death claim is:

This event has a 22 in 10 million probability of happening.
The gain for the company for each policy not claimed is:

This event has a 9,999,978 in 10 million probability of happening.
The expected value is:

Therefore, over the long run, the insurance company can make $0.78 for each policy that it sells.
Answer:
31 pounds
Step-by-step explanation:
From the information given, you can write the following formula to calculate the total cost of sending gifts:
Total cost of sending gifts=2.50+0.85x, where x is the weight of the gifts in pounds
Also, you know that the total cost of sending gifts is $28.85 and you can replace this value and solve for x:
28.85=2.50+0.85x
28.85-2.50=0.85x
26.35=0.85x
x=26.35/0.85
x=31
According to this, the answer is that the gifts weighed 31 pounds.
Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>
To calculate the distance between two points on a coordinate plane, the distance formula used is:
.
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
brainly.com/question/661229
#SPJ1