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Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

Answer: The expected number of spades that you will draw is 0.751 spades

Step-by-step explanation:

The expected value can be calculated as:

∑xₙ*pₙ

Where xₙ is the n-th event, and pₙ is the probability of that event.

First, let's count the possible events and calculate the probability for each one.

x₀ = drawing 0 spades.

Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.

Then the probability of not drawing a spade in the first draw is:

p1 = 39/52

In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:

p2 = 38/51

And with the same reasoning, in the third draw the probability is:

p3 = 37/50

The joint probability for this event will be:

p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413

Second event:

x₁ = drawing one spade.

Let's suppose that in the first draw we get the spade, the probability will be:

p1 = 13/52

In the second draw, we get no spade, then the probability is:

p2 = 39/51

in the third draw we also get no spade, the probability is:

p3 = 38/50

And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:

p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436

third event:

x₂ = drawing two spades:

Let's assume that in the first draw we do not get a spade, then the probabilities are:

p1 = 39/52

p2 = 13/51

p3 = 12/50

And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:

p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138

And the last event:

x₃ = drawing 3 spades.

The probabilities will be:

p1 = 13/52

p2 = 12/51

p3 = 11/50

And there are no permutations here, so the joint probability is:

p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013

Now we can calculate the expected value:

EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751

The expected number of spades that you will draw is 0.751 spades

Answer:

Step-by-step explanation:

x=2

X+4= 6

Move + 4 to the other side to get X by itself

Sign changes from +4 to -4

X+4-4=6-4

X=6-4

X= 2

Answer: X= 2

Answer:

J) y=4/3x+2

Step-by-step explanation:

The initial value is 2 so the y-intercept should be at (0, 2)

The slope is 2/1.5=1.3333

4/3=1.3333 so 2/1.5=4/3

y=mX+b

m= slope

b= Initial Value

Answer:

the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)

Step-by-step explanation:

have a good day!!

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

Answer:

0(-1,2),(0,6),(1,10)

Answer:

We have the expression:

(n + 2)^2 - (n - 2)^2

Let´s break the parentheses:

(n + 2)^2 = n^2 + 4*n + 4

(n - 2)^2 = n^2 - 4n + 4

Then:

(n + 2)^2  - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =

                                 = (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n

Then for any natural value of n, 8*n will be a multiple of 8.

Answer:

C

Step-by-step explanation:

Texas was not around during George Washington so that cant be correct

Texas was not around during the constitution of 1824

Texas did not want more restaurants lol

So Texans considered themselves  independent from Mexico is correct

Answer:

Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves  independent from Mexico is correct

took it on edge 2020 and got it write with this

Answer:

y=5x-2

Step-by-step explanation:

Answer:

D. 78°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

Therefore,

[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]

Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

The expression for the final amount for simple interest is

A = p(1+rt)

Given data

Principal = $10,000

Rate= 5 %= 0.05

Time = 6years (Assume)

A = p(1+rt)

A = 10,000(1+0.05×6)

A = 10,000(1+0.30)

A = 10,000(1.30)

A = 13,000

So the final amount for simple interest is $13,000

To determine her monthly payment

Given that it is spread over 6 years

There are 12×6 months= 72months

So monthly pay = 10000/72 = $180.56

The total of all her monthly payments would be $13,000 which is equal to the final amount.

The finance charge is equal to the interest.

⇒ $13,000 - $10,000 = $3000

So the finance charge would be $3000.

Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ5

Answer:

The system of equations is:

x+y = 42

y = 2x

Step-by-step explanation:

Let x represent the number of ounces of lemon juice.

Let y represent the number of ounces of linseed oil.

A total of 42 ounces of floor wax is to be made, so:

x+y = 42

The amount of oil should be twice the amount of lemon juice. So:

y = 2x

so the system of equations is obtained.

Answer:

It is 60 hours

Step-by-step explanation: 30 pages = 6 hours

30 × 10 = 300

6 × 10 = 60

Answer:

60

Step-by-step explanation:

trust me

Answer:

Step-by-step explanation:

The question is in this image.

Answer: since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation: I got this from a friend. But I hope this helps! <3

Answer:

21

Step-by-step explanation:

solved it

Answer:

A = 16010.32

Step-by-step explanation:

Given that,

[tex]A=P(1+\dfrac{r}{k})^n[/tex]

Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.

[tex]A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32[/tex]

So, the value of A is 16010.32. Hence, the correct option is (B).

Answer:

im guessing it says they give $5 to the father

if that is the case then the answer is c

Step-by-step explanation:

Answer:

what i do not know what i am on

Step-by-step explanation:

Answer:

sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer: a = 5

Step-by-step explanation:

5(a + 3) = 40

5a + 15 = 40

5a -15 = -15

5a = 25

5a/5a = 25/5a

a = 5

Hope this helps :)

Answer: 0.0625

Step-by-step explanation:

Answer:

2 gallons must be added Hope this helps!

Answer:

84 yd^2

Step-by-step explanation:

Answer:

½ × 7yd × 24yd = 84yd² <<<<< the answer

Answer:

I got 4x=5y sorry if i'm wrong