What is the length of a diagonal in the given picture? Round your answer to the nearest whole number. Write the numerical value

Answer:

a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b)  0.0459

c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Step-by-step explanation:

Total number of balls = 3 + 4 + 4 + 3 = 14 balls

3 Red balls = 3/14

4 blue balls  = 4/14

4 green balls = 4/14

3 yellow balls = 3/14

a) Determine the sample space and probability distribution of outcomes

since ball is drawn with replacement

Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

i.e. The sample space has 16 possible combination

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b) Determine  P( R and R )

P ( R and R ) = 3/14 * 3/14

                    = 9/196 =  0.0459

C) Determine probability of drawing two different balls

P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )

= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Answer:

the minimum is 0 and the maximum is 16.

Step-by-step explanation:

For a function f(x), the maximum is defined as:

f(xₐ)

such that:

f(xₐ) ≥ f(x) for every value of x in the domain.

And the minimum is:

f(xₙ)

Such that:

f(xₙ) ≤ f(x)

for every value of x.

Now, in this case we have the function:

f(x) = (-x + 2)^4 in the range  0 < x < 3

First, let's analyze our function.

We can see that the exponent is even, then:

f(x) = (-x + 2)^4

Can be equal to zero or larger than zero.

Then the minimum will be f(x) = 0

To find this, we need to find the value of x such that:

-x +2 = 0

2 = x

Then the minimum is:

f(2) = (-2 + 2)^4 = 0

For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).

Again, because f(x) =  (-x + 2)^4 , the maximum will be at the value of x such that:

|-x + 2| is maximized.

As we have a negative sign multiplying x, the smaller value in the range:

x = 0

is the one that maximizes that:

|-0 + 2| = |2| = 2

Evaluating f(x) in x = 0 we get:

f(0) = (0 + 2)^4 = 16

Then the minimum is 0 and the maximum is 16.

Answer:

option C

Step-by-step explanation:

Since three sides of the triangle are same , the triangle is equilateral.

Again every equilateral triangle is also an isosceles triangle.

The angles of an equilateral triangle are the same and is 60°. Therefore it is acute ( < 90°)

Answer:

324 kilometres

What I did was do 36x10 which is 360

Then I did 360-36=24 because the question wants 9x36 not 10x36

Answer:

y=33 degree

Step-by-step explanation:

y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

Answer:

128659.6037

Step-by-step explanation:

contiously compounding interest formula:

PV(e^(i*t))

100000e^(.021*12)=128659.6037

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Explanation:

Add up those areas to get the final answer

x^2+9x+2x+18 = x^2+11x+18

note the like terms 9x and 2x combine to 11x

The solution of the logarithmic function log₂₇165  found using logarithmic properties is :

(1 + log ₃55)/3.

What is a logarithmic function?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.

We are asked to solve the following logarithmic function.

 log₂₇165

Here the base of the log is 27.

According to logarithmic properties, we can write the above functions as:

 log₂₇165  = log 165 /  log 27

If we are dividing the numerator and denominator by log 3, then the new base will become 3.

(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27

Now we can solve as follows,

log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3

                                          = (1 + log ₃55)/3

Therefore the solution of the logarithmic function log₂₇165  is

(1 + log ₃55)/3.

To learn more about logarithmic functions, follow the link.

https://brainly.com/question/13473114

#SPJ1

Step-by-step explanation:

It's an intercept graph

Answer:12 yes 14 no 16 yes

Step-by-step explanation:its hard to explain

just plug the value in

12.

17 + 5 < 13

22 < 13

false

14.

10/2>6

5>6

false, you are correct

16.

-5 =< 0

it just has to be less OR equal

so it's true, it is a solution

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Answer:

56 dollars

Step-by-step explanation:

idfk 56 dollars is the answer tho

Answer:

this is a cylinder and it volume is =2pie r²h

Answer:

19

Step-by-step explanation:

-9b -5 -7b = -309

-16b - 5 = -309

16b = 309 - 5

16b = 304

b = 304 ÷ 16

b = 19

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

6/8

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

let one angle=a°

second angle=(90-a)°

tan a=7/10=0.7

a=tan^{-1}(0.7)≈35.0°

other angle=90-35=55.0°

Answer:

A (0,3) (-3,-3)

Step-by-step explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(-3 + 3)[/tex]

[tex]y + 3 = 0[/tex]

[tex]y = -3[/tex]

So (-3,-3) is part of the graph.

When x = 0

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(0 + 3)[/tex]

[tex]y + 3 = 6[/tex]

[tex]y = 3[/tex]

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.

Answer:

Width = 64.4 feet

Step-by-step explanation:

A scale is a representative faction that can be used to either increase or decrease the dimension of a given object.

scale = [tex]\frac{nem length}{actual length}[/tex]

But,

1 feet = 12 inches

For the actual MetroPass;

length = 3.4 inches = 0.2033 feet

width = 2.1 inches = 0.175 feet

The MetroPass float has a length of 74.8 feet.

scale = [tex]\frac{74.8}{0.2033}[/tex]

         = 367.93

So that;

the width of the MetroPass float = 0.175 x 367.93

                               = 64.388

Therefore, the width of the MetroPass float is 64.4 feet.

Step-by-step explanation:

7 + 2x + 3 = x + 10

2x - x = 10 - 7 - 3

x = 0

What?

I don't think this helps...

Answer:

x = 0.

Step-by-step explanation:

The distance between  the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:

x + 10 = 2x + 3 + 7

x + 10 = 2x + 10

Subtract 10 from both sides:

x = 2x

Subtract x from both sides:

0 = x

x = 0

Answer:

I dont know

Step-by-step explanation:

Answer:

Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)

Step-by-step explanation:

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Answer:

5196 m

Step-by-step explanation:

The sea is level = 0

If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m

If Lake Assal is 156 m below sea level then it would be = - 156 m

The difference between the two elevations:

= 5040 - (-156)

= 5040 + 156 --> two negatives create a positive

= 5196 m

9514 1404 393

Answer:

  (x, y) = (-7, 5)

Step-by-step explanation:

I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...

  (x, y) = (-7, 5)

__

In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.

  (4x -6y) -(-2x -6y) = (-58) -(-16)

  6x = -42 . . . . . . . . . simplify

  x = -7 . . . . . . . . divide by 6

Substituting into the first equation gives ...

  -2(-7) -6y = -16

  6y = 30 . . . . . . . . . . add 16+6y to both sides

  y = 5 . . . . . . . . .divide by 6

The solution is (x, y) = (-7, 5).

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

25%

Step-by-step explanation:

We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

Answer:

4x+8

Step-by-step explanation:

X + 3( x + 2) + 2

Distribute

x +3x+6+2

Combine like terms

4x+8

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4x + 8[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B (-4)(3) + (-4)(1/4)

Step-by-step explanation:

We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.

(-4)(3 1/4) = (-4)(3 + 1/4)

Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes

(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)

I hope this helps! :)