What is the probability of
spinning a yellow?
[?]%

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

the product of the decimal equivalents of all discount in the series

The required logarithm form is -2log5

Given the exponential form of an equation expressed as;

\((5)^{-2} = 1/25\)

For us to change the exponential form into logarithmic equation, first we need to identify the base, move it to the other side of the expression and then take the logarithm

Take the logarithm of both sides

\(= log(5)^{-2} \\=-2log5\\\)

Hence the required logarithm form is -2log5

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Answer: Standard Deviation, σ: 0.23979157616564

Count, N: 8

Sum, Σx: 33.6

Mean, μ: 4.2

Variance, σ2:  0.0575

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(4.5 - 4.2)2 + ... + (4.1 - 4.2)2

8

=  

0.46

8

=  0.0575

σ =  √0.0575

=  0.23979157616564

Step-by-step explanation: but here

it isnt letting me do the fraction or the other things so yeah it will look wrong but its write for the entire graph

Answer:

18.97 units  

Step-by-step explanation:

Assume that the pool looks like the diagram below.

The pool consists of two equal right triangles.

We know that AB = CD = 3.16.

1. Find the length of the pool

AD = BC,  and we can use Pythagoras' Theorem to calculate AD.

  AB² + AD² = BD²

 3.16² + AD² = 7.07²

9.986 + AD² = 48.98

             AD² = 48.98 - 9.986 = 40.00

             AD   = 6.324

2. Find the perimeter of the pool

P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97

Alex will need 18.97 units of tile to surround the pool.

Alex will need 13.42 units of tile to surround his pool.

A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).

To find the units  of tiles that are needed to surround the pool ABCD with a single line of tiles  is equal to the perimeter of the rectangle

Perimeter of the rectangle = 2 length+2 width

In the figure, the width is given as 2.24 units and the diagonal is 5 units.

So we can find the length using the Pythagorean theorem, which is c²=a²+b².

Now, 5²=(2.24)²+b²

b=4.47 units

Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)

= 8.94 + 4.48

The perimeter of the rectangle = 13.42 units

Thus, Alex will need 13.42 units of tile to surround his pool.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

The restriction of the domain of f(g(x)) is that x cannot be 3.

Step-by-step explanation:

The first step to solve this question is finding the function, replacing the values. So

\(f(x) = \frac{1}{x+5}\)

\(g(x) = x - 2\)

\(f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}\)

The function is a fraction, which means that the restriction is that the denominator cannot be zero. So

\(x - 3 \neq 0\)

\(x \neq 3\)

The restriction of the domain of f(g(x)) is that x cannot be 3.

Answer:

D

Step-by-step explanation:

My mom is a teacher lol

Answer:

you would be correct in the second option, unknown

Step-by-step explanation:

anonymous is another word for unknown, i learned this in gamer talk ;P

Answer: Unknown.

Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown.  If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name."  Therefore, anonymous means an author not identified who is unknown.

Let me know if this is right! :)

Answer:

wouldn't that be 81 but i dont know

Answer:

1. d 2. 43.5 3. 817.5

Step-by-step explanation:

Answer:

your right the answer is A

have a good day (= <3 <3

Step-by-step explanation:

The depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

\(\rm y = 4 \ sin(\dfrac{\pi}{6}x)+9\)

As we know, the maximum value of a sin function varies [-1, 1]

At minimum value = -1

The depth of the water y = -4 + 9 = 5 feet

At maximum value, sin function = +1

y = 4 + 9

y = 13 feet

Thus, the depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

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The theoretical probability of Constance getting an orange ring from the coin-operated machine is 0.182. This means that out of all the possible outcomes, there is an 18.2% chance that Constance will get an orange ring.

To find the theoretical probability of Constance getting an orange ring from the coin-operated machine, we need to first understand what theoretical probability means. Theoretical probability is the likelihood or chance of an event happening based on the number of possible outcomes. In this case, the possible outcomes are the different colored rings that the machine contains.

We are given that the machine contains 5 white rings, 6 orange rings, 7 purple rings, and 15 pink rings.

Therefore, the total number of rings in the machine is 5 + 6 + 7 + 15 = 33.

The probability of Constance getting an orange ring can be calculated by dividing the number of orange rings by the total number of rings in the machine.

Therefore, the theoretical probability of Constance getting an orange ring is:

6 / 33 = 0.181818...

To express this as a decimal, we can round it to the nearest thousandth, which is 0.182.

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The solution to the given system of equations is x = -6, y = 5, and z = 3. That is, the solution is (-6, 5, 3)

From the question, we are to solve the given system of equations

The given system of equation is

x - 2y + 3z = -7      ------------ (1)

4x + 5y + z = 4      ------------ (2)

-x + y - 2z = 5       ------------ (3)

Add equations (1) and (3)

x - 2y + 3z = -7  

-x + y - 2z = 5  

--------------------------

-y + z = -2        ------------ (4)

Multiply equation (3) by 4 and add it to equation (2)

4 [-x + y - 2z = 5      

  -4x + 4y -8z = 20

+ (4x + 5y + z = 4

-------------------------

9y - 7z = 24      ------------- (5)

Solve equations (4) and (5) simultaneously

-y + z = -2

9y - 7z = 24

From equation (4)

-y + z = -2

z = -2 + y        ---------- (6)

Substitute equation (6) into equation (5)

9y - 7z = 24

9y - 7(-2 +y) = 24

9y + 14 - 7y = 24

2y + 14 = 24

2y = 24 - 14

2y = 10

y = 10/2

y = 5

Substitute the value of y into equation (6)

z = -2 + y

z = -2 + 5

z = 3

Substitute the value of y and z into equation (1)

x - 2y + 3z = -7

x - 2(5) + 3(3) = -7

x - 10 + 9 = - 7

x - 1 = -7

x = -7 + 1

x = -6

Hence, the solution to the given system of equations is x = -6, y = 5, and z = 3. That is, the solution is (-6, 5, 3)

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\(\\ \sf\Rrightarrow \left(\dfrac{1}{2}x-\dfrac{1}{3}\right)+5x^2-2x+6\)

\(\\ \sf\Rrightarrow \left(\dfrac{x}{2}-\dfrac{1}{3}\right)+5x^2-2x+6\)

\(\\ \sf\Rrightarrow \dfrac{3x-2}{6}+5x^2-2x+6\)

\(\\ \sf\Rrightarrow \dfrac{3x-2+30x^2-12x+36}{6}\)

\(\\ \sf\Rrightarrow \dfrac{30x^2+3x-12x-2+36}{6}\)

\(\\ \sf\Rrightarrow \dfrac{30x^2-9x+34}{6}\)

Answer:

Step-by-step explanation:

Answer:

A) The first equation has points of.... (0,5) and (5,-5)

B) The second equation has points of... (0,3) and (3, -1)

Step-by-step explanation:

If you need further explanation don't hesitate to ask :)

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

Step-by-step explanation:

Since y = (x + 3)(x + 3), the root is x = -3.

Only Graph A touches the x-axis once.

Answer:

answer is 2/8 or simplified is still 1/4

Step-by-step explanation:

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:   I think its c sorry if im whrong

Answer:c

Step-by-step explanation:

Did the test

Answer:

D. 2:1 & 6:3

Step-by-step explanation:

Proportion means equal so we need to see which ratios are equal.

To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.

A:

1:2 & 4:2

The second number is already the same but the first isn't, therefore it is not proportional.

B:

1:2 & 6:3

To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well

6:12 & 6:3

The first numbers are the same but the second isn't, therefore it is not proportional.

C:

2:1 & 2:4

The first numbers are the same but the second isn't, therefore it is not proportional

D:

2:1 & 6:3

to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too

6:3 & 6:3

These are equal so this is proportional.

Answer: sally is correct, sally read 3/4 (0.75) of the book and rely read 0.5 (1/2) of the book

Step-by-step explanation:

Answer: She is correct

Step-by-step explanation: 1/4+2/4=3/4 of the book while 2/8=1/4 and 4/16=1/4 and 1/4+1/4=2/4 and 3/4>2/4 so Sally is correct. She read 1/4 more of the book Remy. By the way, if you are asking questions, please Capitalize names. Thank you.

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

I think it's 16 tell me if I am wrong

Answer:

23.5 in²

Step-by-step explanation:

act like the whole triangle is there (9x7)

then us the triangle rule 1/2(b times h)

9x7=63/2=31.5

then subtract the missing part from the total area

31.5-(2x4)

31.5-8

23.5

hope this helps have a blessed day

Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.

Divide the numerator (11) by the denominator (4).

11 ÷ 4 = 2 remainder 3

The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.

Write the mixed numeral using the whole number part and the fractional part.

The mixed numeral for 11/4 is:

2 and 3/4

Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

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The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

     Age                      Frequency (f)               X                    \(X \times f\)

     0 - 9                            30                         4.5                   135

    10 - 19                           32                        14.5                  464

    20 - 29                         12                         24.5                 294

    30 - 39                         20                        34.5                 690

    40 - 49                         25                        44.5                1112.5

    50 - 59                         53                        54.5                2888.5

    60 - 69                         49                        64.5                3160.5

    70 - 79                          13                         74.5                968.5

    80 - 89                          8                          84.5                676        

    Total                            242                                              10389      

Now, the mean of the frequency distribution is given by the following formula;

                          Mean =  \(\frac{\sum X \times f}{\sum f}\)

                                     =  \(\frac{10389}{242}\)  = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

   Age                      Frequency (f)               X                    

   0 - 9                            30                         4.5                   135

  10 - 19                           32                        14.5                  464

  20 - 29                         12                         24.5                 294

  30 - 39                         20                        34.5                 690

  40 - 49                         25                        44.5                1112.5

  50 - 59                         53                        54.5                2888.5

  60 - 69                         49                        64.5                3160.5

  70 - 79                          13                         74.5                968.5

  80 - 89                          8                          84.5                676        

  Total                            242                                              10389      

Now, the mean of the frequency distribution is given by the following formula;

                        Mean =  

                                   =    = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years