All categories

3 years ago

A point moves in the plane in the following sequence.

Mathematics

1 answer:

dem82 [27]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is point D(-2,1).

1. If the point D was moved down 2 units, then its coordinates became (-2,-1).

2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).

You might be interested in

Given that f(x)= x^3/4 +6<br> a) Find f(4)<br> b) Find f^-1(x)<br> c) Find f^-1(8)

Anna35 [415]

$f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22$

$\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end$

$f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2$

7 0

2 years ago

Read 2 more answers

The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.

MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1- 0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

6 0

3 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

goldfiish [28.3K]

The correct answer is

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

As we know that, it is a parallelogram opposite angels are congruent
Therefore, m∠A = m∠C and m∠B =m∠B

As we know that, If side a=79 then side c must also be equal to 79

When we consider all the angles and add them it must be equal to 360°
When we add 79+79 = 158°, which mean a=c= 158°

By subtracting all the sides of parallelogram which is 360- 158= 202°
If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
Dividing 202 by 2
$\frac{202}{2}$ = 101°
Therefore, the value of b=d=101°
A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.