What is the image of (4,-8) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer 1

Answer:

(1, -2)

Step-by-step explanation:

multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.


Related Questions

Cómo se formaron los conjuntos numéricos?

Answers

Answer:

Step-by-step explanation:

Los conjuntos numéricos son agrupaciones de números que guardan una serie de propiedades estructurales. Por ejemplo el sistema más usual en aritmética natural está formado por el conjunto de los números naturales, con la suma, la multiplicación y las relaciones usuales de orden aditivo.

Jackson is interested in the number of memories people can recall. He knows that the number of memories recalled is normally distributed in the general population, with a population mean of 30 and a population standard deviation of 5. What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories

Answers

Answer:

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Population mean of 30 and a population standard deviation of 5.

This means that [tex]\mu = 30, \sigma = 5[/tex]

What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories?

This is the pvalue of Z when X = 29 subtracted by the pvalue of Z when X = 26. So

X = 29

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29 - 30}{5}[/tex]

[tex]Z = -0.2[/tex]

[tex]Z = -0.2[/tex] has a pvalue of 0.4207

X = 26

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 30}{5}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.4207 - 0.2119 = 0.2088

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

What is the median of the numbers 63,5,0,0,45,2,23,16

Answers

Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

A king size candy bars costs $1 with each candy bar having 1,472 calories. If you bought 7 candy bars and took 8 days eating them (eating the same amount each day) how many calories would you consume a day?

Answers

Answer: your mom gay ;)

Step-by-step explanation:

4,500 calories a day

If you ate the same amount each day, that means you would eat 3 a day, since 6 divided by 2 is 3.

Find how many calories you would eat each day by multiplying 3 by 1,500

3(1,500)

= 4500

Thank you in advance​

Answers

Answer:

<z = 37

Step-by-step explanation:

<x = 90

<y = 53

<z = ?

<x + <y + <z = 180

90 + 53 + <z = 180

143 + <z = 180

<z = 180 - 143

<z = 37

Answer:

37

Step-by-step explanation:

180-90-53= 37

Find the surface area of the prism. 5cm 7cm 4cm

Answers

To find the volume it is Length x Width x Height
so 7 x 5 x 4 = 140cm
140 cm is the answer
Hoped this helped =)

Which is the graph of linear inequality x + 2y <= 12

Answers

X+2y=12
X+2y=12-12
X+2y-12=0

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

Camden invested $260 in an account paying an interest rate of 4 1/8% compounded annually. Evan invested $260 in an account paying an interest rate of 3 7/8% compounded continuously. After 13 years, how much more money would Camden have in his account than Evan, to the nearest dollar ?

Answers

Answer:

$9

Step-by-step explanation

got it wrong so many times so delta math gave me the answer

Find the area of the figure.

Answers

Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Work it out fast its a timed test

Answers

Answer:

$1400

Step-by-step explanation:

Answer:

$1,400.00

Step-by-step explanation:

You have to multiply $8.75 by the 20 hours to get $175, then you multiply that by 8 weeks to get $1,400

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠EFC and ∠DCF

∠BCF and ∠GFC

Step-by-step explanation:

QUESTION 10 of 10: You learn that you can buy a used robot for $25,000. The robot can replace two people doing assembly work that are
paid $19 per hour. About how long would it take for the robot to pay for itself in labor savings?
0000
O a) 640 hours
b) 658 hours
c) 712 hours
d) 755 hours

Answers

Answer:

B. 658 Hours

Step-by-step explanation:

All you do is divide.

$19 for every hour, it's 2 persons so,

$38 for every hour.

so,

25,000/38

= 657.894736842 which is about 658 so,

= 658 Hours

It would take 658 hours for the robot to pay for itself in labor savings

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The robot can replace two people doing assembly work that are paid $19 per hour.

Let us assume it would take x hours for the robot to pay for itself in labor savings

(19 + 19)x = 25000

38x = 25000

x = 657.9

It would take 658 hours for the robot to pay for itself in labor savings

Find out more on equation at: https://brainly.com/question/2972832

Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)

Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees

Answers

Answer:

Segment CED has greater area

Step-by-step explanation:

Circle A

Area of ΔCAD, right triangle:

A = 1/2*10*10 = 50 m²

Area of the sector CAD:

A = 1/4*π*10² = 78.54 m²

Area of segment CED:

A = 78.54 - 50 = 28.54 m²Circle B

Area of ΔCBD, equilateral triangle:

A = √3/4*12² = 62.36 m²

Area of sector CBD:

A = 1/6*π*12² = 75.40 m²

Area of segment CFD:

A = 75.40 - 62.36 = 13.04 m²

Compare the areas of the segments:

CED = 28.54  > CFD = 13.04

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

The sum of N and the product 5 times n is 24. What is the value of n?

Answers

Answer: n = 4

Step-by-step explanation:

     We will first write a mathematical equation to represent the situation. Then, we will solve it.

The sum of n → Sum means addition, so "n +"

product of 5 times n → Product and times means multiplication, so "5n"

is 24 → Is represents equals, so "= 24"

     The sum of N and the product 5 times n is 24 → n + 5n = 24

Now that we have our equation, we can solve. We will do this by adding n and 5n, then dividing both sides of the equation by 6.

     n + 5n = 24

     6n = 24

     n = 4

the standard iq test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that

Answers

Answer:

A sample of 153 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is 15 for the population of all adults.

This means that [tex]\sigma = 15[/tex]

We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean.

This means that a sample of n is needed.

n is found when M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 2

[tex]\sqrt{n} = 1.645*7.5[/tex]

[tex](\sqrt{n})^2 = (1.645*7.5)^2[/tex]

[tex]n = 152.2[/tex]

Rounding up:

A sample of 153 is needed.

The point I (–4, –1) is rotated 90 about the origin. What is the image of I?

Answers

9514 1404 393

Answer:

  I'(1, -4)

Step-by-step explanation:

The transformation for rotation 90° about the origin is ...

  (x, y) ⇒ (-y, x)

  I(-4, -1) ⇒ I'(1, -4)

WHO CAN solve it Please !

Answers

Answer:

a) True

     [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]

Step-by-step explanation:

Step(i):-

Given that the definite integration

           [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha[/tex]

we know that the trigonometric formula

sin²∝+cos²∝ = 1

           cos²∝ = 1-sin²∝

step(ii):-

Now the  integration

        [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha[/tex]

                                     = [tex]\int\limits^\pi _0 {cos\alpha } \, dx[/tex]

Now, Integrating

                                 [tex]= ( sin\alpha )_{0} ^{\pi }[/tex]

                               = sin π - sin 0

                              = 0-0

                             = 0

Final answer:-

     [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]

There is a bag of marbles that contain 5 blues, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a blue marble

Answers

Answer:

[tex]\frac{5}{16}[/tex]

Step-by-step explanation:

1) Find the total number of marbles

5 blue + 6 red + 3 black + 2 yellow

= 16 marbles

2) To find the probability of selecting a blue marble, divide the number of blue marbles by the number of total marbles:

5 blue marbles ÷16 marbles

[tex]= \frac{5}{16}[/tex]

Therefore, the probability of selecting a blue marble is [tex]\frac{5}{16}[/tex].

I hope this helps!


A circular pool has a diameter of 24 feet. what is the area of the pool to the nearest tenth of a square foot ?​

Answers

Answer:

37.7

Step-by-step explanation:

First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.

5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above

Answers

E None of the above

Which of the following names of geometric objects does The order of letters not matter

Answers

9514 1404 393

Answer:

  B.  line AB

Step-by-step explanation:

The terminal point must be named first when naming a ray.

The vertex must be named in the middle when naming an angle.

The order of points does not matter when naming a line.

A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?

Answers

Answer:

$1439.16

Step-by-step explanation:

1.) 15% of 1575

1575 x 0.15 = 236.25

1575 - 236.25 = 1338.75

So 15% of $1575 = $1338.75

2.) $1338.75 with sales tax if 7.5%

1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41

1338.75 + 100.41 = 1439.16

so you answer is $1439.16

26.5 multiplied by 0.38

Answers

10.07 would be the answer

Answer:

10.07

Step-by-step explanation:

26.5 x 0.38 = 10.07

Can I get brainliest

Dos puntos en matematicas

Answers

Answer:

eso no es una pregunta

Step-by-step explanation:

please give me an explanation and your work

Answers

Answer:

-0.3*0.2*12, multiply -0.3 by 0.2 to get -0.06, now multiply 12 by it to get, -0.72.

Step-by-step explanation:

plz help will give crown

Answers

D 8m = 48

divide by 8 both sides so we can isolate m

answer

m= 6

use a long method division to calculate 145 413 by 321​

Answers

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

What is Division?

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

Learn more about Division here :

https://brainly.com/question/21416852

#SPJ2

Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.

Answers

Answer:

D+7=K

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The slope of the line below is 3. Write the point-slope equation for the line
using the coordinates of the labeled point. (6’8)

Answers

Answer:

y - 8 = 3(x - 6)

Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

y - 8 = 3(x - 6)

y-8=3



3. okkkokok final
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