1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jasenka [17]
4 years ago
6

Joni translates a right triangle 2 units down 4 units to the right. How does the orientation of the image of the triangle compar

e with the orientation of the preimage
Mathematics
1 answer:
den301095 [7]4 years ago
6 0

Answer:

The orientation of the image will be the same as the pre-image of the triangle.

Step-by-step explanation:

Given:

A right triangle is translated by moving it 2 units down and 4 units to the right.

To tell how the given translation will change the orientation of the image of the triangle compared with the orientation of the pre-image.

Solution:

Translation is a type of transformation in which the all the points in the shape moves equal distances in same direction.

For the given translation, all the three vertices of the right triangle will move 2 units down and 4 units to the right. Thus, it will have no effect on the orientation of the image as all points move equal distances and in same direction.

The orientation of the image will be the same as the pre-image of the triangle.

You might be interested in
Denise likes 2 teaspoons of milk in every 8-ounce cup of coffee she drinks. How many teaspoons of milk does Denise like per ounc
KengaRu [80]

Answer:

1/4 teaspoons of milk to ounces of coffee

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which expression has a value of 36? 3/7X42. 6/7X21. 3/4X48 10/13X39
Korvikt [17]
7777777777777777777777777777
3 0
3 years ago
The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?
Sidana [21]
The radius is the cube root of 750. THe surface area is 3000 pi centimeter square. 

4 0
4 years ago
In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.02, 0.07, and
Leviafan [203]

Answer:

A. (Table Attached)

B. (See Step 3)

C. 0.06 (See Step 4)

D. NOT independent (See Step 5)

Step-by-step explanation:

<h3 /><h3>STEP 1:</h3>

Name the probabilities:

p₁ = 0.02,   p₂ = 0.07,   p₃ = 0.91

q₁ = 1-p₁ = 0.98 ,   q₂ = 1-p₂ = 0.93 ,   q₃ = 0.09

Let X and Y be the number of bits with high and moderate distortion out of three.

<h3>STEP 2:</h3>

A.

The function will follow multinomial distribution:

f_{XY}(x,y) = P(X=x, Y=y) = \frac{3!}{x!y!(3-x-y)!} (p_1^x)(p_2^y)(p_3^{3-x-y})

Substitute the values and make a table.

TABLE IN ATTACHMENT

<h3>STEP 3:</h3>

B.

We calculate marginal distribution by:

P (X=x)= <em>∑</em> P(X=x,Y=y)

fx(x) can be found by adding all the probabilities in each row for different value of X

For X=0 , ∑P = 0.94157441

For X=1 , ∑P = 0.057624

For X=2 , ∑P = 0.001176

For X=3 , ∑P =0.000008

<h3>STEP 4:</h3><h3>C.</h3>

The mathematic expectation E is the sum of product of each possibility with its probabiity.

E(X)=<em>∑ </em>xP(X=x)

Find E(X):

E(X)= (0*0.9415744)+(1*0.057624)+(2*0.001176)+(3*0.000008)

E(X)=0.06

<h3>STEP 5:</h3>

Condition probability states:

P(A|B)=\frac{P(A,B)}{P(B)}

It can also be written as:

f_{Y|X=1}(y)=\frac{f_{XY}(1,y)}{f_x(1)}

Where f_x(1)\\ = 0.057624

Calculate the quotient:

Y|_{x=1} = 0 ,  f_{Y|_X=1 = 0.862245

Y|_{x=1} = 1 ,  f_{Y|_X=1 = 0.132653

Y|_{x=1} = 2 ,  f_{Y|_X=1 = 0.000510

Y|_{x=1} = 3 ,  f_{Y|_X=1 = 0

Find the dependency:

f_{XY}(y)=f_X(x)f_Y(y)

We found that

f_{Y|_X=1 = 0.862245

Calculate f_Y(1) from summing the column from the table

f_Y(1)=0.17428341+0.007644+0.000084\\f_Y(1)=0.18201141

Which are not equal.

Conclusion:

X and Y are NOT Independent

7 0
4 years ago
Tony was on the bumper cars at the amusement park. He turned his steering wheel 25 degrees to bump his friend. How many one-degr
Ghella [55]

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

4 0
3 years ago
Other questions:
  • A Grocery store offers a cheese sampler that includes a pepper cheddar cheese that cost $15 per kilogram and Pennsylvania jack t
    13·1 answer
  • 11^9–11^8+11^7 is divisible by 3 and 37.
    8·1 answer
  • SKETCHPAD<br> Write 6.58 x 108 in standard form.
    12·2 answers
  • a recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.how many batches can you make with 15 cup
    10·2 answers
  • A(n) ____________ should have only one independent variable.​
    10·1 answer
  • 50 points take it or leave it<br> 3x+4=22
    6·2 answers
  • HELP ASAP ITS EASY DEGREE CR AP JUST PLS ILL GIVE BRAINIEST NO GUESSING PLSSSSS
    13·2 answers
  • Franklin is purchasing replacement equipment for outdoor recess. Mr. DiCanio put in an order totaling $97.23 to purchase 4 playg
    12·1 answer
  • What is the Celsius temperature for 144 degrees Kelvin
    13·2 answers
  • The soccer game started at 5:15 p.m. The game ended at 6:40 p.m. There was a 14-hour halftime break so the players could rest. H
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!