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lesya692 [45]
3 years ago
11

Kyle has to make a decision about his health insurance. Under one plan, the monthly cost of insurance is $15, but if he visits a

doctor, he has to pay $50 for an office visit.
Kyle estimates that he has a 0.05 probability of needing to visit a doctor in any given month.

What is the expected monthly value of this plan for Kyle?
Mathematics
2 answers:
tester [92]3 years ago
8 0

100 - 0.05 = 0.95

Expected monthly cost =

Monthly cost x 0.95 + office visit x 0.05

15 x 0.95 + 50 x 0.05

14.25 + 2.50 = $16.75

cupoosta [38]3 years ago
5 0

Answer:

The expected monthly cost value should be 17.50.

Step-by-step explanation:

15 * 0.95 + (15 + 50)*0.05 = 17.5

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kiruha [24]

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Step-by-step explanation:

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What is the slope of the line shown in the graph?<br> A 3/2<br> B) 2/3<br> C) -3/4<br> D) -2/3
garik1379 [7]

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D.

Step-by-step explanation:

y-intercept is (0, 3)

x-intercept is (4.5, 0)

formula to find the slope from two points is

slope = m =  \frac{y2 - y1}{x2 - x1}  =  \frac{y1 - y2}{x1 - x2}  \\

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m =  \frac{3 - 0}{0 - 4.5}  =  \frac{3}{ - 4.5}  =  -  \frac{3}{ \frac{9}{2} }  =  -  \frac{2}{3}

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3 0
3 years ago
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
SCORPION-xisa [38]

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]

<u>PART A</u>

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64

<u>PART B</u>

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

=\dfrac{15}{64}\\=0.234375

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625

8 0
3 years ago
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