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makvit [3.9K]
2 years ago
12

Find the value of x when y equals -7.2(3x - 7) = 9y​

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

Answer:

not sure but its x=4

Step-by-step explanation:

Ber [7]2 years ago
3 0

Hey there!


2(3x - 7) = 9y

2(3x - 7) = 9(-7)

2(3x - 7) = -63

2(3x) + 2(-7) = -63

6x - 14 = -63

ADD 14 to BOTH SIDES

6x - 14 + 13 = -63 + 13

SIMPLIFY IT!
6x = -63 + 13

6x = -49

DIVISION 6 to BOTH SIDES

6x/6 = -49/6

SIMPLIFY!
x = -49/6

x = -8 1/6


Therefore, the answer should be:

x = -8 1/6 (or x = -49/6 [EITHER OF THOSE SHOULD BE YOUR RESULT BECAUSE THEY ARE BOTH EQUAL TO EACH OTHER])


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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Delta makes 12-volt car batteries. These batteries are known to be normally
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Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

<em />

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Step-by-step explanation:

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