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Leona [35]
3 years ago
9

The figures above are similar find the missing length show your work

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

find the ratio ( scale factor ) of the 2 known sides

large box has length of 5, small box has length of 3

3 divided by 5 = 0.6

 so now multiply the known height of large box (3) by 0.6 to find x

3 * 0.6 = 1.8

x = 1.8 inches



please mark brainliest.

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Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un
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Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

probability that both events happen simultaneously = \frac{0.1}{0.9} (0.72^{n})

The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0
3 years ago
if you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?
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Answer:

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Step-by-step explanation:

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Then subtract 4y from each side

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This is best solved by elimination

2x+8y=12

3x-8y=11

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5x = 36

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