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3 years ago

Rotation about the origin

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

Neither A or B

Step-by-step explanation:

Rotation -90 is counter clockwise direction or turning left. 90 degrees places the figure from quadrant 1 & 4 into quadrant 2 & 1. This means point Q (2,1) rotates to Q' (-1,2). Point P (4,1) rotates to P' (-1,4). Point R (3,2) rotates to R' (2,3).

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17 is between which following pairs of numbers? A) 4 and 5 B) 8 and 9 C)16 and 18 D) 288 and 290

Fudgin [204]

Answer:

Step-by-step explanation:

Count it out, 16, __, 18.

What’s between 16 and 18?

16, 17, 18

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Aleksandr-060686 [28]

The empirical, or experimental, probability of an event is the number of times the event occurred over the number of times the experiment was conducted. In this case it would be 55/70 = 11/14, as there were 55 heads flipped out of a total of 70 coin flips.
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C hope it helps sorry if I'm wrong

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$