Using Chebyshev's theorem, solve these problems for a distribution with a mean of 75 and a standard deviation of 19. Round & to at least 2 decimal places and final answers to at least one decimal place if needed. Part 1 of 2 At least % of the values will fall between 18 and 132. Part 2 of 2 At least % of the values will fall between 23 and 127. 4:0

Answer:

45

Step-by-step explanation:

division and multiplication doesnt work

0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

Learn more about multiply  : brainly.com/question/620034

#SPJ11

Answer:

13R - (-14)

Step-by-step explanation:

I believe this is the right answer i really hope it is im sorry if its wrong

Have a good day!

Answer -36r^2 + 101r - 45

Step-by-step explanation:

Hi!

There might be different variations into how anyone would approach this problem but this is by far an easy way for me.

In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.

You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.

When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.

(This is how you do cross multiplication.)

You should get something like this:

3(3y+12)=6(4y)              Distribute the three on the left side and multiply. Do the same on the right.

9y+36=24y                    Now, you can combine like terms by subtracting 9y to the other side.

36=15y                           Isolate y and divide it by 15.

y=2.4

I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.

I hope this helped!

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

Answer:

This ratio would be 12:1

Step-by-step explanation:

There's 12 gallons of water to 1 cup of cleaner.

Answer:

you would need 12 gallons of water.

Step-by-step explanation:

The ratio is 4 : 1/3. This means that for every 1/3 cups of cleaner, there is 4 gallons of water.

This in mind, 3 1/3 cups of cleaner would be 1/3 x 3.

Whatever you do to one side, you have to do to the other.

4 gallons x 3 = 12.

Hope this helps :)

Control typically arises when an entity has the power to govern the financial and operating policies of another entity to obtain benefits from its activities. In this case, Radiant Age Berhad initially acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022.

Acquiring 30% of the ordinary shares indicates a significant ownership stake in Glitter Berhad. However, control is not solely determined by the percentage of shares owned. It also depends on the ability to influence the financial and operating policies of the entity.

Given that Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares, it suggests a potential increase in ownership to a total of 55%. However, the option can only be exercised in 40 days, which is on 12 February 2022.

To determine control, we need to evaluate whether Radiant Age Berhad had the ability to govern the financial and operating policies of Glitter Berhad before exercising the option. Factors such as board representation, voting rights, contractual agreements, and the ability to influence key decision-making are crucial in assessing control.

Since the option to acquire the additional 25% of shares can only be exercised after 12 February 2022, Radiant Age Berhad did not have control over Glitter Berhad before that date. Control would only be established if and when the option is exercised, and Radiant Age Berhad obtains the additional shares, bringing their total ownership to 55%.

It's important to note that control is a complex concept, and the specific details of the option agreement and other factors may influence the determination of control. Professional judgment and a detailed analysis of the circumstances would be necessary to arrive at a conclusive assessment of control in this scenario.

Learn more about Radiant Age Berhad here:

brainly.com/question/32976033

#SPJ11

X = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

The smallest positive integer which when divided by 4, 5, 8 and 9 leaves remainder 3, 4, 7 and 8, respectively is 539.

The given equation isx ≡ 3 (mod 4)x ≡ 4 (mod 5)x ≡ 7 (mod 8)x ≡ 8 (mod 9)

By the first condition,x = 4a + 3

where a is any positive integer.

Substituting in the second condition,4a + 3 ≡ 4 (mod 5)⇒ 4a ≡ 1 (mod 5)⇒ a ≡ 4 (mod 5)

Let a = 5b + 4 (where b is any positive integer)

Substituting this in x = 4a + 3, we get

x = 4(5b + 4) + 3 ⇒ x = 20b + 19

Now, substituting this in the third condition,20b + 19 ≡ 7 (mod 8)⇒ 4b ≡ 4 (mod 8)⇒ b ≡ 1 (mod 2)Let b = 2c + 1

Substituting this in x = 20b + 19,x = 20(2c + 1) + 19 ⇒ x = 40c + 39

Finally, substituting this in the fourth condition,40c + 39 ≡ 8 (mod 9)⇒ 4c ≡ 5 (mod 9)

We know that the modular inverse of 4 modulo 9 is 7.

Multiplying both sides by 7,7(4c) ≡ 7(5) (mod 9)⇒ 28c ≡ 35 (mod 9)⇒ c ≡ 4 (mod 9)

Hence,x = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

for such more question on integer

https://brainly.com/question/929808

#SPJ11

The value of \(2\frac{1}{2} -1\frac{5}{6}\) as an fraction is 2/3 .

In the question ,

the expression is given as

\(2\frac{1}{2} -1\frac{5}{6}\)

To convert a mixed fraction \(a\frac{b}{c}\) into a improper fraction , we use the  formula

\(a\frac{b}{c}\) = (a*c+b)/c

let us first convert the given mixed fraction into improper fraction ,

using the formula of conversion , we get

\(2\frac{1}{2}\) = (2*2+1)/2 = 5/2

and

\(1\frac{5}{6}\) = (1*6+5)/6 = 11/6

Substituting the values , the expression becomes

= 5/2-11/6

taking the LCM as 6 and solving further , we get

= 15/6 - 11/6

= (15-11)/6

= 4/6

= 2/3

Therefore , The value of \(2\frac{1}{2} -1\frac{5}{6}\) as an fraction is 2/3 .

Learn more about Fractions here

https://brainly.com/question/19318336

#SPJ1

Answer:

Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21​. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21​=1.

Step-by-step explanation:

The type of polyhedron that can be assembled from this net is a triangular prism because if you assemble this net you get a figure like this

Answer:

x = - 4, x = 6

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

- 3(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

Learn more about angles from

https://brainly.com/question/25770607

#SPJ1

Answer:

Check out the answer. Hope it helps!!

Answer:

       \(\huge\boxed{\sf 10x^2-13x-3}\)

Step-by-step explanation:

\(=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}\)

Answer:

2 x 2 x 3 x 2

Step-by-step explanation:

Let's slowly break down 24 into shorter pieces.

24 = 4 x 6

=> 2 x 2 x 3 x 2

Since all of the numbers are prime numbers, the following product is the product of prime factors.

Hoped this helped.

Let the number be represented by "n"

Answer:

add 8 and 7= 4d + 3y + 15

Step-by-step explanation:

trust me :)

Answer:

\(y=[1]cos([\frac{2\pi }{3}]x)\)

Step-by-step explanation:

Looking at the graph, we can see the domain to be from (0 , 2π).

Now we have to find one period that corresponds to cos(x).

The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.

b = 2pi/3

a is the same range as cos(x). Range: (0,0)

y = [a] * cos ([b]*x)

y = [1] * cos([2pi/3]x)

Answer:

.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-(-5) -2

5 - 2

3

Answer:

-7

Step-by-step explanation:

Hope this helps

The equation for the line given on the graph is y = 30x , the correct option is (c) .

In the question ,

it is given that

the cable length varies directly with the amount of time it passes .

let the cable length that is wound on the spool be " y " , and

let the time it passes be " x " .

since they vary directly , it can be denoted by

y ∝ x

So , the equation is , y \(=\) k*x

from the graph we see that when x = 1 , the value of y is 30 .

On substituting x = 1 and y = 30 in the equation y = k*x

we get ,

30 = k*1

So , k = 30 .

Substituting k = 30 , we get

the equation as y = 30x .

Therefore , The equation for the line given on the graph is y = 30x .

Learn more about Equation Of Line here

https://brainly.com/question/24341336

#SPJ1

Sure thing! Here are the steps I took to find the value of con(tan-¹(6/8)):

1. Recall the identity: con(θ) = adj/hyp

2. Draw a right triangle with opposite side of 6 and adjacent side of 8.

3. Use the Pythagorean theorem to find the hypotenuse: hyp² = opp² + adj²

4. hyp² = 6² + 8² = 36 + 64 = 100

5. hyp = √100 = 10

6. Use the identity: tan(θ) = opp/adj

7. tan(θ) = 6/8 = 3/4

8. Take the inverse tangent of both sides: tan-¹(tan(θ)) = tan-¹(3/4)

9. Simplify: θ = tan-¹(3/4)

10. Recall the identity: con(θ) = adj/hyp

11. Substitute adj = 8 and hyp = 10: con(tan-¹(6/8)) = 8/10 = 4/5

So, the value of con(tan-¹(6/8)) is 4/5.

The maximum volume of the cylinder is 27147.355 at the maximum point  \(r = \frac{50}{\sqrt{3} }\) .

The formula for the volume of the cylinder v = \(\pi\)\(r^{2}\)h, To find the maximum volume of the cylinder we apply the condition of maxima  \(\frac{\mathrm{d} v}{\mathrm{d} r}\) = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = \(2\pi r(r+h)\)

                                                        \(5000\) = \(2\pi r^{2} +2\pi rh\)

                                                             \(h\) =   \(\frac{5000-2\pi r^{2} }{2\pi rh}\) .............(1)

Volume of the cylinder v = \(\pi r^{2} h\)

Substitute the value of \(h\) in the above equation

\(\Rightarrow\)                                       = \(\pi r^{2}\) × \(\left [ \frac{5000-2\pi r^{2}}{2\pi r} \right ]\)

\(\Rightarrow\)                                      = \(\frac{r}{2}\) ×  \((5000-2\pi r^{2} )\)

\(\Rightarrow\)                                    v = \(2500r-\pi r^{3}\) ..............(2)

Now, for the maximum volume of the cylinder  \(\frac{\mathrm{d} v}{\mathrm{d} r}\) = 0

\(\Rightarrow\)                                                            \(\frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0\)

\(\Rightarrow\)                                                                      \(3\pi r^{2} = 2500\)

\(\Rightarrow\)                                                                          \(r^{2} = \frac{2500}{3\pi }\)

\(\Rightarrow\)                                                                          \(r = \frac{50}{\sqrt{3\pi } }\)

Volume is maximum for  \(r = \frac{50}{\sqrt{3\pi } }\)  

Then, v = \(2500r-\pi r^{3}\)

\(\Rightarrow\)              =  \(2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}\)                              

\(\Rightarrow\)             = \(\frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }\)

\(\Rightarrow\)             = \(\frac{125000}{\sqrt{3\pi } }\)×\(\frac{2}{3}\)

\(\Rightarrow\)             = \(\frac{250000}{3\sqrt{3\pi } }\)                                                              

\(\Rightarrow\)          v = 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point  \(r = \frac{50}{\sqrt{3} }\) .                                                

To learn more about total surface area and volume of the cylinder from the given link

https://brainly.com/question/16095729

#SPJ4                                                                                   

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

\(( \frac{19 + 7}{2} ) - 5\)

hope this answer helps you dear...

The square root of the complex number z = 2i is the one in option B:

±(1 + i)

We want to solve the equation:

a = √2i

So we need to find a complex number a such that:

a^2 = 2i

You can try to square the given options to see which one gives that, the correct option will be the second one:

±(1 + i)*±(1 + i) = (1 + i)*(1 + i)

Remember that i*i = -1

Then we can expand that product to get:

(1 + i)*(1 + i) = 1*1 + 1*i + i*1 + i*i

                  = 1 +  i + i - 1 = 2i

So the correct option is B.

Learn more about complex numbers at:

https://brainly.com/question/10662770

#SPJ1

Answer:

248

Step-by-step explanation:

Divide 62 by 2 to get 31. Each distance on the map should be multiplied by this number. So if it's 8 on the map, its 8 x 31 in real life. 8 x 31 = 248

After 1.842 hours the price of Stock A and Stock B will be the same using a set of linear equations.

A grouping of one or more linear equations containing the same variables is known as a system of linear equations.

For Stock A :

The initial price = $15.03

The rate of increase = $0.05

For Stock B :

The rate of decrease = $15.53

The rate of decrease per hour = $0.13

Then the price of stock A at noon will be:

$ 15.03 + $ (0.05 × 3) = $ 15.03 + $ 0.15 = $15.18

The period of time during which the stock price will remain constant:

15.18 + 0.05t = 15.53 - 0.14t

Simplifying the terms we get,

0.05t + 0.14t = 15.53 - 15.18

0.19t = 0.35

t = (0.35 ÷ 0.19) hours

t = 1.842 hours

Therefore, the stocks will be of equal price after 1.842 hours.

Learn more about stocks here:

https://brainly.com/question/1193187

#SPJ9

Answer:

Okay, here are the GCF (Greatest Common Factor) and LCM (Lowest Common Multiple) for each pair of numbers:

   6,15 ________

   GCF = 3

   30,48 __________

   GCF = 30

   6 and 9 _________

   LCM = 18

   12 and 30 ____________

   LCM = 60

KEY:

240=i 3=g 18=d 30=e 20=t 60=l 6=a

#1 #2 #3 #4

Let me walk through the steps for each problem:

   To find the GCF of 6 and 15:

   Find all factors of 6: 1, 2, 3, 6

   Find all factors of 15: 1, 3, 5, 15

   The greatest common factor is 3.

   The GCF of 30 and 48 is 30.

   To find the LCM of 6 and 9:

   Find all factors of 6: 1, 2, 3, 6

   Find all factors of 9: 1, 3, 9

   The lowest common multiple that contains all factors is 18.

   The LCM of 12 and 30 is 60.

Does this help explain the steps and solutions? Let me know if you have any other questions! I can also show additional examples if needed.

Let me know if you understand the GCF and LCM concepts and are able to proceed to the key. I can explain that part in more detail.

Step-by-step explanation: