All categories

3 years ago

In the figure, / is mapped onto / by a 180° rotation. Angle B corresponds to which angle in /? A. X )B. Y) C. Z) D. C)

Mathematics

2 answers:

GrogVix [38]3 years ago

4 0

Which of the following best<span> represents a rotation
</span>
B.

Luden [163]3 years ago

3 0

Answer:

The correct option is B.

Step-by-step explanation:

From the given diagram it is clear that the measure of angle B is 90 degrees because it is a right angled triangle.

The coordinates of vertex B are (-5,2).

If a point P(x,y) is rotate 180 degree about the origin, then

$(x,y)\rightarrow (-x,-y)$

The coordinates of image of B are

$B(-5,2)\rightarrow B'(-(-5),-(2))=B'(5,-2)$

The coordinates of image of B are (5,-2). These are the coordinates of vertex Y and the measure of angle Y is 90 degree.

The angle Y corresponds to angle B. Therefore the correct option is B.

You might be interested in

If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).

svetoff [14.1K]

Given:

$f(1)=10$ and $f(n)=f(n-1)-4$ .

To find:

The value of f(5).

Solution:

We have,

$f(n)=f(n-1)-4$

For $n=2$ ,

$f(2)=f(2-1)-4$

$f(2)=f(1)-4$

$f(2)=10-4$

$f(2)=6$

For $n=3$ ,

$f(3)=f(3-1)-4$

$f(3)=f(2)-4$

$f(3)=6-4$

$f(3)=2$

For $n=4$ ,

$f(4)=f(4-1)-4$

$f(4)=f(3)-4$

$f(4)=2-4$

$f(4)=-2$

For $n=5$ ,

$f(5)=f(5-1)-4$

$f(5)=f(4)-4$

$f(5)=-2-4$

$f(5)=-6$

Therefore, the value of $f(5)$ is $-6$ .

5 0

3 years ago

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

$
e = 2.71828$ is the Euler number

$\mu$ is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

3 years ago

If a current of 12 amps produces 480 volts across a resistor then how many volts does a 15 amp produce?

LekaFEV [45]

Answer:

600 volts

Step-by-step explanation:

Given =

A = 12 ampere

V = 480 volts

A2 = 15 ampere

Solution =

R = V/I

= 480 / 12

= 40 ohms

R = V / I

V = R x I

= 40 x 15

= 600 volts

7 0

3 years ago

Factor completely x2 + 20x − 36. (1 point)

Serggg [28]

Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.

2, 18

Write the factored form using these integers.

(x+2)(x+18)

4 0

3 years ago

The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour.How

alexandr402 [8]

52 miles is the right question for this one!

8 0

3 years ago