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jonny [76]
2 years ago
7

How do i find the value of x on this problem?

Mathematics
1 answer:
zaharov [31]2 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

The proportion is

14/6 = 21/(3x - 12)                 Cross Multiply

14*(3x - 12) = 6*21                 Remove the brackets and combine

42x - 168 = 126                     Add 168 to both sides

42x = 126 + 168

42x =  294                           Divide by 42

x = 294/42

x = 7

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Answer:

rest of them (40%)

Step-by-step explanation:

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2 years ago
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
josh flips a colored chip that is red on one side and black on the other a total of 20 times. what is the probability of the 21t
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As long as the mass of the chip is evenly distributed on each side, whatever times you flip the chip,

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3 0
3 years ago
Find the percent of increase from 20 to 45.
Aloiza [94]
It is a 125% increase from 20 to 45
4 0
2 years ago
Read 2 more answers
How do you go about doing this surface area problem?
hammer [34]
Break it down into 2-Dimensional shapes. Then add the areas together.

From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²

total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
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For the volume; break it up into 3-dimenssional shapes and add the volumes together.

From the picture you can see;
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Total volume = 384 m³ + 144 m³
= 528 m³
5 0
3 years ago
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