Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark ( / ) for the fraction bar.

Answers:

Note: The answer to problem 7 is a single value. The comma is there to make the number more readable.

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Explanation for problem 7)

There are 26 red cards (13 diamonds + 13 hearts).

We have 26 ways to pick the first red card, and then 25 ways to pick the second red card. If order mattered, then we'd have 26*25 = 650 ways to do this. However, order doesn't matter. All that matters is the hand itself rather than the individual cards. By "hand" I mean the collection of cards, and not the literal physical hand holding them.

Since the count 650 is a double count, this means 650/2 = 325 is the correct count where order doesn't matter. The black cards will follow identical logic to get the same value. There are 325 ways to pick the two black cards. This is because there are an equal number of red and black cards, and we're selecting an equal number of both colors.

So we have 325*325 =  105,625 different hands possible.

To help show some context, there are 52C4 = 270,725 different ways to pick four cards without any restrictions. I'm using the nCr combination formula.

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Explanation for problem 8)

The face cards are Jack, Queen, King. There are 3 face cards per suit and 4 suits total, so 3*4 = 12 face cards in all.

We have 12*11*10 = 1320 permutations and 1320/(3!) = 1320/6 = 220 combinations. We side with combinations because like before, order doesn't matter. There are 220 different ways to pick the three face cards. Then we have 52-12 = 40 ways to pick the fourth non-face card.

Overall, we have 220*40 = 8800 different ways to pick exactly three face cards.

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Explanation for problem 9)

There are 13 diamond cards, so n = 13. We're filling r = 4 slots.

Use the nCr combination formula to find that 13C4 = 715

See the attached image below for more detailed steps.

We have 715 ways to pick all diamonds.

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Explanation for problem 10)

We'll build from problem 9. We found there are 715 ways to pick four diamonds. This is the same number of ways to pick four hearts, or four clubs, or four spades. The actual suit doesn't matter. So we have 4*715 = 2860 different ways to pick 4 cards of the same suit

In poker, having all cards of the same suit is known as a flush. Though with poker, it involves 5 cards instead of 4.

Answer:

13 =x

Step-by-step explanation:

The width is x

The length is 2 times the width or 2x

A = length * width

A = 2x* x

338 = 2x^2

Divide by 2

338/3 = 2x^2/2

169 = x^2

Taking the square root of each side

sqrt(169) = sqrt(x^2)

13 =x

Answer:

Yes 5+2y=13 is a linear relationship

Answer:

w=18.27

Step-by-step explanation:

Using Trig you have opposite and hypotenuse so use SIN

Sin(66)=w/20

20Sin(66)=w

w=18.27

Answer:

Step-by-step explanation:

Use two points on the graph to get an equation:

The slope: m = (60 - 8)/6 = 8.667

The y- intercept is 8

The equation of the line of best fit:

The answer to your question is y = 8.667x + 8. Hope this helps; have a great day!

Answer:true

Step-by-step explanation:

just took the test < 3

The statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -

[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

where -

f(x) = probability density function

σ = standard deviation

μ = mean

Given is that for a sample size of n = 26 and a population parameter of

p = 0.6, a normal curve can be used to approximate the sampling

distribution.

It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.

Therefore, the statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

To solve more questions on normal curves, visit the link below-

https://brainly.com/question/24201610

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Answer:

dvffdd

Step-by-step explanation:

Answer:

A rectangle has its Opposite sides Equal.

Draw one so you'd grab it better.

AB=CD

BC= AD

Since CD=AB and We're given AB=x+7...

CD = x + 7

OPTION B IS LEGIT!!

Answer:

She Bought 40 Gallons of Milk

Step-by-step explanation:

Answer:

The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.

Answer:

how much are they selling them for

Answer:

Kyle typed 574 words in 14 minutes. How many...........?????????

il.l just divide 574 divided by 14= 41

Step-by-step explanation:

:)

Answer:

41 like I said in the comments.

Step-by-step explanation:

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

Solution given:

5,6,7,8,9,

When repeated:

it has

5 ways for each

different five digit members can be formed from the digits:5*5*5*5*5=3125

When not repeated:

it has

5 ways for 1st

4 ways for 2nd

3 ways for 3rd

2 ways for 4th

1 ways for 5th

different five digit members can be formed from the digits:5*4*3*2*1=120

Answer:

The vertex of the parabola is [tex]V(x,y) = (0, 3)[/tex].

Step-by-step explanation:

In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point [tex]V(x,y) = (0, 3)[/tex].  Mathematically speaking, the vertex of the parabola is represents the only point of the range ([tex]y[/tex]) which is related to an only value of the domain ([tex]x[/tex]).

Answer:

Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail

This question is incomplete, the complete question is;

A gymnasium floor is being covered by square shock-absorbing tiles.

The old gym floor required 864 square tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles  

Answer:

Length of the side of one of the new shock-absorbing tiles is 12 inches

Step-by-step explanation:

Given the data in the question;

Since both the area for old tiles and new tiles are the same;

so Area of old tiles = Area of new tiles,

given that; The old gym floor required 864 square tiles and new flooring will require only 600 tiles as new tiles are 2 inches larger in length and width than the old tiles.

Now let the length of the sides of the square tiles be x

Area of a square = length × length = x × x = x²

So, Area of Old tiles = 864 × x² = 864x²

Area of New tiles = 600( x + 2 )²

= 600( x² + 4x + 4 )

= 600x² + 2400x + 2400

Now, Area of old tiles = Area of new tiles

864x² - 600x² - 2400x - 2400 = 0

264x² - 2400x - 2400 = 0

we find x

Using; x = [-b ±√( b² - 4ac )] / 2a

x = [-( -2400) ±√( (-2400)² - (4 × 264 × -2400 )] / 2( 264 )

x = [ 2400 ±√( 5760000 + 2534400) ] / 528

x = [ 2400 ±√8294400 ] / 528

x = [ 2400 ±2880 ] / 528

x = [ 2400 - 2880 ] / 528  or  [ 2400 + 2880 ] / 528

x = [ -480 / 528 ] or  [ 5280 / 528 ]

x = [ -0.909 ] or  [ 10 ]

the length of the sides of the square tiles cannot be Negative

Hence, x = 10

Therefore, the length of a side of one of the new shock-absorbing tiles will be;

⇒ x + 2 = 10 + 2 = 12 inches

Length of the side of one of the new shock-absorbing tiles is 12 inches

Answer:

12

Step-by-step explanation:

Answer:

20 mph

Step-by-step explanation:

Varies inversely

ts = k

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It takes Danielle 24 minutes to get to work when he drives at an average speed of 30 mph

24(30) = 720

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What is Danielle's average speed if he gets to work in 36 minutes.

36s = 720

s = 720/36

s = 20

20 mph

Answer:

What is the anwser i ned help

Step-by-step explanation:

Answer:

0.0416

Step-by-step explanation:

Given :

Number of balls :

Pink = 8 ; black = 9

Total number of balls = 8+9 = 17

Choosing with replacement :

Probability = required outcome / Total possible outcomes

Required outcome = number of black balls

Total possible outcomes = total number of balls

P(black) = 9/17

Number of picks = 5

Hence, Probability that all 5 picks are black :

P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879

= 0.0416

y= 4x-5

x.y = 6

x = 6/y

substitute value

y= 24/y-5

y²+5y-24=0

y²+8y-3y-24=0

y(y+8) -3(y+8) = 0

y=3 or y = -8

consider y = 3,

3 = 4x-5

x= 2!

now y = -8

-8= 4x-5

x= -3/4

The answer is 2 and 3 Or -8 and -3/4

2 is not 5 less 4 times other so the solution is -8 and -3/4

Answer:

3x² + 8 = 20

x = 2

Step-by-step explanation:

3 times x squared increased by 8 is 20

3x² + 8 = 20

3x² = 12

x² = 4

x = 2

Answer: perpendicular lines

Step-by-step explanation:

look up "Two straight lines that intersect at a right angle"

Answer:

Perpendicular! hope this helps :)

Answer:

100 cm2

Step-by-step explanation:

If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)

8 increased by 2 = 10

area 10x10 = 100 cm2

Answer:

the answer is 100cm²

since originally is 64 cm²

so square root of 64 is 8 cm.

after you get 8cm you get,

8+2 = 10cm (a side of square)

and then to find a new area you get,

10 × 10 = 100 cm²

Answer:

Step-by-step explanation:

take 64 degree as reference angle

using cos rule

cos 64=adjacent/hypotemuse

0.43=QR/10

10*0.43=QR

4.3=QR

Answer: 166.666 mcgs

Step-by-step explanation:

If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

A ratio shows us the number of times a number contains another number.

Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,

IV fluid / Drug A = 300ml / 50 mcg

IV fluid / Drug A = 6 ml/ mcg

Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,

IV fluid / Drug A = 6 ml/ mcg

1000 ml / Drug A = 6 ml/ mcg

Drug A = 1000 ml / 6 ml/ mcg

Drug A = 166.667 mcg

Hence,  If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

Learn more about Ratios here:

https://brainly.com/question/1504221

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2^( - 1 ) × 4^( -1 ) =

2^( -1 ) × 2^( 2 × ( - 1) ) =

2^( - 1 ) × 2^( - 2 ) =

2^( - 1 - 2 ) =

2^( - 3 ) =

1/ 2^( 3 ) =

1/8

Answer:

4/10 8/20 16/40

Step-by-step explanation: