All categories

3 years ago

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

5 0

Answer:

B. (0,8)

Step-by-step explanation:

ale4655 [162]3 years ago

3 0

0,8 is the answer mark me brainliest

You might be interested in

What is the probability of choosing a king from a deck of cards? Type your answer as a fraction.

Vikki [24]

Answer:

4/52 or 1/13

Step-by-step explanation:

there are only 4 kings; diamond, Heart, Spades and Clubs.

4 0

3 years ago

Read 2 more answers

A circle is inscribed in a square is 10 inch sides what is the circumference of the circle use 3.14 as an approximation for pie

MissTica

Answer:

31.4 inches

Step-by-step explanation:

If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.

In the given problem it is given that side of square is 10 inches.

So diameter of circle inscribed is 10 inches

we know radius of circle is half of diameter of circle

Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.

Expression to calculate circumference of circle is given by $2\pi r$

where r is the radius of circle.

Thus circumference of circle inscribed is

$2*\pi *5\\=> 10*3.14 \\=> 31.4$

Thus, circumference of circle inscribed is 31.4 inches

6 0

3 years ago

Difference of two exponential random variables

torisob [31]

The difference would be subtracting the variables and the dividing the difference by 2

8 0

3 years ago

Read 2 more answers

Can someone help me please

Oxana [17]

C

3 3/4 = 3.75
21/6 = 3.5

5 0

3 years ago

According to the article "Characterizing the Severity and Risk of Drought in the Poudre River, Colorado" (J. of Water Res. Plann

mihalych1998 [28]

Answer:

(a) P (Y = 3) = 0.0844, P (Y ≤ 3) = 0.8780

(b) The probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

Step-by-step explanation:

The random variable Y is defined as the number of consecutive time intervals in which the water supply remains below a critical value y₀.

The random variable Y follows a Geometric distribution with parameter p = 0.409.

The probability mass function of a Geometric distribution is:

$P(Y=y)=(1-p)^{y}p;\ y=0,12...$

(a)

Compute the probability that a drought lasts exactly 3 intervals as follows:

$P(Y=3)=(1-0.409)^{3}\times 0.409=0.0844279\approx0.0844$

Thus, the probability that a drought lasts exactly 3 intervals is 0.0844.

Compute the probability that a drought lasts at most 3 intervals as follows:

P (Y ≤ 3) = P (Y = 0) + P (Y = 1) + P (Y = 2) + P (Y = 3)

$=(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409+(1-0.409)^{2}\times 0.409\\+(1-0.409)^{3}\times 0.409\\=0.409+0.2417+0.1429+0.0844\\=0.8780$

Thus, the probability that a drought lasts at most 3 intervals is 0.8780.

(b)

Compute the mean of the random variable Y as follows:

$\mu=\frac{1-p}{p}=\frac{1-0.409}{0.409}=1.445$

Compute the standard deviation of the random variable Y as follows:

$\sigma=\sqrt{\frac{1-p}{p^{2}}}=\sqrt{\frac{1-0.409}{(0.409)^{2}}}=1.88$

The probability that the length of a drought exceeds its mean value by at least one standard deviation is:

P (Y ≥ μ + σ) = P (Y ≥ 1.445 + 1.88)

= P (Y ≥ 3.325)

= P (Y ≥ 3)

= 1 - P (Y < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

$=1-[(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409\\+(1-0.409)^{2}\times 0.409]\\=1-[0.409+0.2417+0.1429]\\=0.2064$

Thus, the probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

6 0

3 years ago