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forsale [732]
2 years ago
6

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

Mathematics
1 answer:
Eva8 [605]2 years ago
6 0
The answer is B.
The reason behind it being that since the sides of the entire patio are given, you can multiply them and get the area of the entire patio, then you can subtract the area of the bench, which in this case is 12 because 2 times 6 is 12. Since you can’t solve for (x+20) or (x+10), you can multiply them by themselves. This would give you the equation (x+20)(x+10)-12.
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A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?
mart [117]
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madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
FREE BRAINLIEST
Anvisha [2.4K]

Answer: All circles have a 360 degree so it think its A. All circles have exactly one center point.

Step-by-step explanation:

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