Answer:
What is the expected value for the insurance company?
E(x) = 0.9986*161 + 0.0014*(-99839) = $21.00
Step-by-step explanation: Ur welcome
There is a 0.9986 probability that a randomly selected 30 year old male lives through the year. A life insurance company charges $161 for insuring that the male lives through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit.
Alright. So for:
a) 4(x+7)+3(x+5) Here we need to distribute the number outside of the parenthesis to the terms inside. So after distributing, we get 4x+28+3x+15. Then simplify this equation to 7x+43.
b) 3(2a+4b)+9(3a-2b) Same here. We distribute the number outside of the parenthesis to the terms inside. After distributing, we get 6a+12b+27a-18b. Then simplify to get 33a-6b.
c) 2(3u-5)-3(2u+1) As expected, same here. We distribute the number outside of the parenthesis. But here, we have a negative. Remember to distribute that as well. So we get 6u-10-6u-3. Then we simplify and get -13.
d) b(-5v-4)-2b(v+4) -_- Getting a bit boring... We distribute the variable from outside the parenthesis into the terms in the parenthesis. We get -5bv-4b-2bv-8b. Then simplify to get -3bv-12b.
**If you don't understand distributing, just let me know!
The answer is sequence I (choice A)
The common ratio is r = 1 because we multiply each term by 1 to get the next term. No change happens when we multiply any number by 1. Another way to find the common ratio is to pick any term and divide it by its previous term.
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Choice B is not the answer because (1/5) divided by (1/4) = 0.2/0.25 = 0.8
and because (1/6) divided by (1/5) = 0.833 approximately. We don't get the same value each time. So the common ratio doesn't stay the same.
Choice C is not the answer either since most of the terms are positive but the -4 in slot 3 is not positive. If it was positive, then the common ratio would be 4 and this sequence would be geometric. If the terms alternated between positive and negative, then it would work as well (r would be r = -4)
Choice D has alternating terms of positive and negative, but there's no change in absolute value. There is no growth or decay as this the terms effectively stay the same. So there is no common ratio. This is why we can rule out choice D.
The answer for this question is:{(2, 35), (3, 36), (4, 29), (5, 51), (6, 41), (7, 26)} Domain: {'02, '03, '04, '05, '06, '07}Range: {26, 29, 35, 36, 41, 51}which is the last one.The domain is the years Andrew Jones played (02 – 07) and the range is the number of home run hits (26 – 51)
So in 5 acres of land produces 21,000 pounds of strawberries.
Step-by-step explanation:
Step 1:
Last year, 
acres i.e 3.5 acres produced 14,700 pounds of strawberries. So we need to determine how many strawberries were produced per acre.
To do this we divide the total number of strawberries produced by the number of acres it was produced in.
The number of strawberries produced per acre
pounds.
Step 2:
To determine the number of strawberries in 5 acres of land, we multiply the number of strawberries per acre by the number of acres.
The number of strawberries produced in 5 acres
pounds.
So in 5 acres of land produces 21,000 pounds of strawberries.
