You and your mom enter a drawing with three different prizes. A total of eight people entered the drawing and prizes are awarded randomly.

There are 336 ways to award the prizes.

What is the probability that you win first prize and your mom won second prize?

Answer:

x²+y²-4y-46=0

Step-by-step explanation:

the equation of a circle is in the form (x - a)² + (y - b)² = r², where (a,b) is the center of the circle

the equation is (x - 0)² + (y - 2)² = r², where r is the radius. But r is the distance from (0,2) to (7,3)

the distance from two points is given by r² = (x₁ -x₂)² + (y₁ - y₂)²

r²= (0 - 7)² + (2 - 3)²

r² = 49 + 1 = 50

hence the equation is  

                  (x)² + (y - 2)² = 50

                  x²+y²-4y+4 = 50

                 x²+y²-4y-46= 0

Answer:

t = –3.382

Step-by-step explanation:

Claim: FICO credit scores are greater than 675

Thus, x = 675

We are given:

Sample size = n = 50

Sample Mean = u = 719

Sample Standard deviation = s = 92

The formula to find the t-statistic is:

[tex]t=\frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

Using the above values, we get:

[tex]t=\frac{675-719}{\frac{92}{\sqrt{50} } }\\\\ t=-3.382[/tex]

Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.

Answer:

t = 3.382

Step-by-step explanation:

gradpoint

Answer:

x=5 and x=1

Step-by-step explanation:

3 |-3x + 9| = -18

/3 /3

|-3x + 9| = -6

-3x + 9 = -6 -3x + 9 = 6

-9 -9 -9 -9

-3x = -15 -3x = -3

/-3 /-3 /-3 /-3

x = 5 and x = 1

Answer:

No solution

Step-by-step explanation:

The term which refers to a pictorial representation of given set of data involving two variables is:

           A-  graph

We know that

In mathematics, a graph is a diagram that is used to represent a relationship between the two variables one is a independent variable and the other is a dependent variable.

It is just the set of all the ordered pairs of the type: (x,y) where x is the domain of the function and y is the range of the function.

Hence, the answer is:

                 Option: A

         ( A-- Graph)

Answer:

The median would be 71

Step-by-step explanation:

The median means middle and 71 is in the middle if you place the numbers in order

Also please drop a brainliest!

Answer:

Option B. Linear

[tex]y=4x+18[/tex]

Step-by-step explanation:

Let

x----> the time in hours

y----> the total inches of snow on the ground

we know that

The function that best model this situation is the linear function

so

[tex]y=mx+b[/tex]

In this problem

[tex]m=4\frac{in}{h}[/tex]

[tex]b=18\ in[/tex] ----> the y-intercept

substitute

[tex]y=4x+18[/tex]

Question:

A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. Which type of functions best models this situation?

A) exponential

B) linear

C) quadratic

D) radical

Answer & Step-by-step explanation:

It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.

If a function has constant rate of change, then the it is a linear function.

It the given case the rate of change is constant so linear function best model this situation.

The slope intercept form of linear function is

f(x)=mx+b           ... (1)

where, m is slope and b is y-intercept or initial value.

Ski resort has 18 inches of snow on the ground it means initial value is 18.

The snow is falling at a rate of 4 inches per hour. So, m=4.

Substitute m=4 and b=18 in equation (1).

f(x)=4x+18

Therefore Linear decreasing function best model this situation and the required function is f(x)=4x+18.

Hope this helps.

Answer:

x = 4.  x = 64, d = 0.60.

Step-by-step explanation:

a. 256 /x = 64

64x = 256

x = 256/64

x = 4.

b.  256/x = 4

4x = 256

x = 256/4

x = 64.

c.  36/d = 60

60d = 36

d = 36/60

d = 0.60.

Answer:

Step-by-step explanation:

The percent of 64 which that is 16 is 25% because, to find what percent a number y is of a number x, you have to follow the steps: Divide y by x.

Answer:

25%

Step-by-step explanation:

The question aks: What percentage of 64 is 16?

Let that percentage be x,

[tex]\frac{x}{100}[/tex] of 64 = 16

We multiply both sides by 100 then divide by 64 to get:

x = [tex]\frac{1600}{64}[/tex] = 25%

Answer:

25

Step-by-step explanation:

use pythagoras theorem:

sqrt of: a^2+b^2  = c

where

a=24

b=7

c=x

so substitute these values in the theorem:

sqrt: 24^2+7^2=25

hope this helps!

Answer:

25

Step-by-step explanation:

a²+b²+c²

24²+7²=c²

576+49=625

√625=25

Answer: 225x

Step-by-step explanation:

Use distribution to get rid of the parenthesis.

5x * 36 + 5x*9

180x + 45x

Now combine like terms

225x

Answer:

x

3

+

2

x

2

+

9

x

+

18

x3+2x2+9x+18

Factor out the greatest common factor from each group.

Tap for more steps...

x

2

(

x

+

2

)

+

9

(

x

+

2

)

x2(x+2)+9(x+2)

Factor the polynomial by factoring out the greatest common factor,  

x

+

2

x+2

.

(

x

+

2

)

(

x

2

+

9

)

(x+2)(x2+9)

Step-by-step explanation:

Answer:

(x + 2)(x + 3)(x - 3)

Step-by-step explanation:

Given that x = - 2 is a zero then (x + 2) is a factor

Dividing x³ + 2x² - 9x - 18 by (x + 2) gives

x³ + 2x² - 9x - 18 = (x + 2)(x² - 9) = (x + 2)(x + 3)(x - 3)

Answer:

2600 is the significant number.

Step-by-step explanation:

Given  : 2648.

To find : What is 2648 to two significant figures.

Solution : We have given  2648.

We can see two last digit are 48 that is less than 50.

To the nearest 100 it become 00

So,2600 is the significant number.

Therefore, 2600 is the significant number.

The number 2648 to two significant figures is 2600

From the question, we have the following parameters that can be used in our computation:

Number = 2648

By definition, the number of significant figures are the digits of a number that are meaningful

Using the above as a guide, we have the following:

Number = 2600 to two significant figures

Hence, the number to two significant figures is 2600

Read more about significant figures at

brainly.com/question/24491627

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Answer:

Step-by-step explanation:

[tex]5+(-3)(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5+(-3)(6x)+(-3)(-5)\\\\=5-18x+15\qquad\text{combine like terms}\\\\=-18x+(5+15)\\\\=-18x+20[/tex]

Answer:

none of the above

Step-by-step explanation:

just for people who dont want one

The angle that is congruent to angle 1 is angle 4 (m∠ 4).

What is congruent angle?

Congruent angles are angles that have the same measure in degrees or radians. So, if two angles are congruent, it means that they are equal in size.

From the diagram of the parallel lines, the angle that is all congruent to angle 1 include;

m∠ 1 = m∠ 4 (vertically opposite angles are equal)

m∠ 2 = m∠ 5 (vertically opposite angles)

m∠ 3  = m∠ 6 (vertically opposite angles)

So m∠ 1 = m∠ 4

Thus, the angle that is congruent to angle 1 is angle 4.

Answer:

Step-by-step explanation:

so when you post your picture you wanna click the thing that looks like a paper clip and attach a file or picture. or your can copy your photo and paste it in your question if you dont know how to take a picture just screenshot it *depends what kind of computer your using*

Hello there! I answered a few questions like this before so here is my answer from that question:

- Click "Ask your question."

- Type out the question in the field.

- Click the paperclip icon below the answering field.

- Click "add attachments"

- Select the photo you want to use

- Click "Open" and wait for the photo to load.

There you go! I hope this helped. An easier way to do this is to drag your photo straight into the answer field and you can skip the last 4 steps, I am sure this works on mac but not sure if it works on windows. Have a great day! :)

Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

* Hopefully this helps:) Mark me the brainliest:)!!!

~234483279c20~

Answer:

C) 23 yd^2

Step-by-step explanation:

We can break  this figure into two rectangles.

One rectangle is a vertical triangle that is 3 yd across by 7 yds down

The area of this figure is

A = lw

   = 3 * 7 = 21

The other rectangle is 1 yd across and by 2 yds down  

The area of this figure is

A = lw

   = 1 * 2 = 2

The total area is the sum of the two figures

A = 21 +2 = 23

Its c hope this helped

15x+320

X=21.3

Mulitply 3 and 5 to get 15x

Multiply 20 and 16 to get 320

Divide each side by 15

The value of x (3x+20) (5x-16) is  x=0 or x= 16/5 or x= -20/3

Writing a number or other mathematical object as the sum of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x² - 4 and the integer 15 can both be factored by the number 3 × 5.

Given

Let's solve your equation step-by-step.

x(3x+20)(5x−16)=0

15x³+52x²−320x=0

Step 1: Factor left side of equation.

x(5x−16)(3x+20)=0

Step 2: Set factors equal to 0.

x=0 or 5x−16=0 or 3x+20=0

x=0 or x= 16/5 or x= -20/3

To know more about factorization refer to :

https://brainly.com/question/25829061

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Answer:

The answer is option C. rectangle, parallelogram, rhombus

Step-by-step explanation:

The set of quadrilaterals that must have opposite sides that are congruent and parallel are - rectangle, parallelogram, rhombus.

These three quadrilaterals have opposite sides congruent. Kites and trapezoids does not have opposite sides congruent.

The required set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.

The set of quadrilaterals that must have opposite sides that are congruent and parallel is option C: rectangle, parallelogram, rhombus.

In a rectangle, opposite sides are congruent and parallel.

In a parallelogram, opposite sides are congruent and parallel.

In a rhombus, opposite sides are congruent and parallel.

Therefore, the set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.

Learn  more about quadrilaterals here:

https://brainly.com/question/7127658

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Answer:

The total interest paid by Nell in 20 years is $3,724.80

C is correct

Step-by-step explanation:

Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded  monthly.

First we find total amount in 10 months

[tex]A=6000(1+\frac{0.048}{12})^{10}[/tex]

[tex]A=6244.37[/tex]

Now, He has to pay loan off on 6244.37 for 20 years at 4.8% APR

Loan Formula:

[tex]P=\dfrac{PV\cdot r}{1-(1+r)^{-n}}[/tex]

PV=6244.37

r=0.048/12

n=240

[tex]P=\dfrac{6244.37\times \frac{0.048}{12}}{1-(1+\frac{0.048}{12})^{-240}}[/tex]

[tex]P=40.52[/tex]

Total pay in 20 years = 40.52 x 20 = 9724.80

Total amount took loan = $6000

Interest = 9724.80 - 6000

             = $3,724.80

Hence, The total interest paid by Nell in 20 years is $3,724.80

Answer: $3345.60

Step-by-step explanation:

Apex - Took one for the team on the quiz because I forgot to check the rating on the other answer </3

2x + 7 = -9

2x = -9 - 7

2x = -16

x = -16/2

x = -8

15 - 4x

15 - 4.(-8)

15 + 32

47

729. multiple 9 times 9 then 81 times 9 and you get D

first plot (0,2) then (-1,5)

Answer:

2.11 ft

Step-by-step explanation:

Given in the question,

number of revolution a wheel make = 32

distance that wheel traveled while rotating  = 425ft

Step 1

Find the circumference of the wheel

circumference = total distance covered / number of revolution

                        = 425 / 32

                        = 13.28 ft

Step 2

Formula of circumference  

2πr = 13.28 ft

r  = 13.28/2π

r = 2.11 ft

Answer:

Option C will have greatest number of permutations.

Step-by-step explanation:

A.

The number of license plates with 4 letters followed by 3 numbers, where letters and digits cannot be repeated.

We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter

25 letters options for 2nd letter

24 letter options for 3rd letter

23 letter options for 4th letter.

So total options for 4 letters 26*25*24*23 = 358800

Now, 3 numbers are required. We have total 10 numbers (0-9)

10 number options for 1st number

9 number options for 2nd number

8 number options for 3rd number

Total options for 3 numbers= 10*9*8 = 720

total options for 4 letters and 3 numbers will be: 358800 * 720 = 258,336,000

B.

The number of license plates with 3 letters followed by 4 numbers, where letters and digits cannot be repeated.

We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter

25 letters options for 2nd letter

24 letter options for 3rd letter

So total options for 3 letters= 26*25*24 = 15600

Now, 4 numbers are required. We have total 10 numbers (0-9)

10 number options for 1st number

9 number options for 2nd number

8 number options for 3rd number

7 number options for 4th number

Total options for 4 numbers = 10*9*8*7 = 5040

total options for 4 letters and 3 numbers will be: 15600 * 5040 = 78,624,000

C. The number of license plates with 4 letters followed by 3 numbers, where letters and digits can be repeated.

Now, the letters and digits can be repeated. So we have 26 options for each 4 letters and 10 options for each 3 numbers

26*26*26*26 *10*10*10 = 456,976 * 10,00 = 456,976,000

total options for 4 letters and 3 numbers will be: 456,976,000

D.

The number of license plates with 3 letters followed by 4 numbers, where letters and digits can be repeated.

Now, the letters and digits can be repeated. So we have 26 options for each 3 letters and 10 options for each 4 numbers

26*26*26 *10*10*10*10 = 17,576 * 10,000 = 175,760,000

total options for 3 letters and 4 numbers will be: 175,760,000

So, Option C will have greatest number of permutations.

Answer:

this answer is 25893

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the inequality to the form y > mx + b:

3x + y > -8           subtract 3x from both sides

y > -3x - 8

Put the coordinates of the points to the inequality and check:

for (-3, 0)

0 > -3(-3) - 8 → 0 > 9 - 8 → 0 > 1   FALSE

for (-2, -1)

-1 > -3(-2) - 8 → -1 > 6 - 8 → -1 > -2   TRUE

for (0, -10)

-10 > -3(0) - 8 → -10 > 0 - 8 → -10 > -8  FALSE

for (2, -16)

-16 > -3(2) - 8 → -16 > -6 - 8 → -16 > -14  FALSE

Answer:

40

Step-by-step explanation:

165% * ? = 66

66 / 165%

66 / (165 / 100)

(100 * 66) / 165

6600 / 165 = 40

Answer:

288

Step-by-step explanation:

Answer: 4.47 seconds.

Step-by-step explanation:

Hi, the rock will reach the river when the height (h) is 0.

So, replacing in the equation given:

h= -16t2+320

Where t is the time  

0= -16t2+320

Solving for t

-320 = -16t2

-320/-16 =t2

20 = t2

√20 =t

4.47 = t

Assuming that t is the time in seconds, the rock will reach the river after 4.47 seconds.

Feel free to ask for more if needed or if you did not understand something.

Answer:

false

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

Use vertical line test to find our whether the line is the graph of a function or not.

From the photo, we can see that only one output ( value of y) for one input ( value of x)  and all vertical lines intersect a curve at most once then the line represents a function.

Hope it will find you well.