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kvasek [131]
3 years ago
11

WL

Mathematics
1 answer:
otez555 [7]3 years ago
8 0
The function appears to be L(legos) = T(tower)^3

L = T^3

This checks out for t =1,2,3,4

The 100th tower would have 100^3 legos.

100^3 = 1,000,000.

The 100th tower would have 1 million cubes
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Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown
guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) =  (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001

5 0
3 years ago
Solve the system of equations. <br> 3x-4y=8 <br> 18x-5y=10
ipn [44]

Answer:

y = -2    x = 0

Step-by-step explanation:

1. 3x-4y = 8

2. 18-5y = 10

Multiply equation 1 by 6

3. 18x-24y = 48

Subtract equation 2 from equation 3

4. -19y = 38

        y = 38/-19

        y = -2

Sub y = -2 back into equation 1

      3x-4(-2) = 8

      3x + 8 = 8

      3x = 0

      x = 0/3

      x = 0

7 0
3 years ago
Convert 0.70 hours to minutes round answer to the nearest tenth​
IgorC [24]

Answer:

0.70 hours= 42.0 minutes. All you have to do is multiply the 0.70 by 60.

Step-by-step explanation:

3 0
3 years ago
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Akimi4 [234]

Answer:

45 dandelion × 15 rows= 675

7 0
1 year ago
Help if right U GET ................. U KNO WAH
Fofino [41]

Answer:

a: 448 gallons

b: 5 fish

Step-by-step explanation:

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