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Valentin [98]
3 years ago
7

what set of transformations could be applied to rectangle abcd to create a'b'c'd'? a. reflected over the x-axis and reflected ov

er the y-axis b. reflected over the y-axis and rotated 180° c. reflected over the x-axis and rotated 90° counterclockwise d. reflected over the y-axis and rotated 9
Mathematics
1 answer:
eduard3 years ago
8 0
It's impossible to give exact answer as you've not attached the image. But I think I can help you by giving some rulles about rotation. 180° rotation is (x;y) change to (-x;-y); 90° counterclockwise (x,y) change to (-y, x); then clockwise <span>90° (x,y), cange to (y, -x). Hope it will help.
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A catering company loses $110 as a result of a delay.
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When 250 students were interviewed, 96 of the students thought USC was the best school in the nation. The probability that one o
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Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
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}

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3 years ago
Is a triangle with sides that measure 6inches,8inches and 9inches a right triangle
AveGali [126]
No, because, using the Pythagorean Theorum:

6^2+8^2=9^2
36+64 IS NOT = TO 81
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4 years ago
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