Big Ben is the largest clock tower in England and overlooks the Houses of Parliament and the Thames River. The minute hand of the clock measures 36 feet in length. How far does the tip of the minute hand move in 20 minutes

Answer:

what's the question though ?

Answer:

The events are  independent.Their conditional probability is equal to the  probability of an event .

2) The probability that there is line spoilage given that there is transformer spoilage=0.08

- Transformer spoilage but not line spoilage=0.046

Transformer spoilage given that there is no line spoilage = 0.05

- Neither transformer spoilage nor there is no line spoilage =0.03

v- Either transformer spoilage or there is no line spoilage  = 0.97

Step-by-step explanation:

Let A be an event that the spoilage is due to transformers so

P(A) = 5% = 5/100 or 0.05

Let B be an event that the spoilage is due to line so

P(B) = 8% = 8/100 or 0.08

Let C be an event that the spoilage is due to both then

P(C) = 3% = 3/100 or 0.03

1)  Independence

For events to be independent their joint probability is given by

P(A) = P(A∩B)/ P (B)  By Law of independence

P(A∩B)= P(A/B)P(B)

P(A∩B) = 5/100 *8/100=40/10000= 4/1000

P(A) = 5/100  

P(A/B) =P(A∩B)/ P (B)

= 4/1000/8/100= 1/20  

P(A)= P(A/B)

5/100 is equal to  1/20

The events are independent.Their conditional probability is equal to the probability of an event

2) The probability that there is line spoilage given that there is transformer spoilage

P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08

Which is again equal to probability of event B.

- Transformer spoilage but not line spoilage

P(A∩1-B)= 5/100*92/100= 460/10000=0.046

Transformer spoilage given that there is no line spoilage

P(A/1-B) =P(A∩1-B)/ P (1-B)

= 5/100*92/100/92/100= 5/100 = 0.05

- Neither transformer spoilage nor there is no line spoilage

1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03

v- Either transformer spoilage or there is no line spoilage  

P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97

Answer:

don't give up try and you will find the answers

Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the  

N sides has length P/N.  If we connect two adjacent vertices to the  

center, the angle between these two lines is 360/N degrees, or 2*pi/N  

radians.  (Do you understand radian measure well enough to follow me  

this far?)

The two lines I just drew, plus the side of the polygon between them,  

form an isosceles triangle.  Adding the altitude of the isosceles  

triangle makes two right triangles, and we can use one of them to  

derive the equation

 sin(theta/2) =  s/(2R)

where theta is the apex angle (which I said is 2*pi/N radians), R is  

the length of the lines to the center (the radius of the circumscribed  

circle), and s is the length of the side (which I said is P/N).

Putting those values into the equation, we have

 sin(pi/N) = P/(2NR)

so that

 P = 2NR sin(pi/N)

gives the perimeter of the N-gon with circumradius R.

Can we see a connection between this formula and the perimeter of a  

circle?  The perimeter of the circumcircle is 2*pi*R.  As we increase  

N, the perimeter of the polygon should get closer and closer to this  

value.  Comparing the two, we see

 2NR*sin(pi/N) approaches 2*pi*R

 N*sin(pi/N)   approaches pi

You can check this out with a calculator, using big numbers for N such  

as your teacher's N=1000.  If you calculate the sine of an angle in  

degrees rather than radians, the formula will look like

 N*sin(180/N) --> pi

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

5x+4=-16: minus 4 from both sides

5x=-20: Divide by 5 to solve for x

x=-4

Answer:

Step-by-step explanation:

Hello, you need to divide the two polynomials.

[tex]\boxed{2x^2}(x+1)=2x^3+2x^2\\\\2x^3+3x-2x^3-2x^2=-2x^2+3x\\\\\boxed{-2x}(x+1)=-2x^2-2x\\\\-2x^2+3x+2x^2+2x=5x\\\\\text{So, we can write that}\\\\\Large \boxed{\sf \bf \dfrac{2x^3+3x}{x+1}=2x^2-2x+5+\dfrac{-5}{x+1}}[/tex]

B=-2

G(x)=-5

H(x)=x+1

Thanks

Answer:

first number −8 second number −15

Step-by-step explanation:

n+n−7=−23

Combine like terms.

2n−7=−23

Add 7 to each side and simplify.

2n=−16

Divide each side by two and simplify.

n=−8

Now solve for each number.

n−8−=−8 1st number

n −7 2nd number

-8−7

-15

Step 6. Check. Is −15 seven less than −8?

−8−7−=-15

−15=−15✓

Is their sum −23?

−8+(−15)=−23

−23=−23✓

Step 7. Answer the question.

The numbers are −8 and −15.

The numbers are −8 and −15.

It is given that a number is 7 less than another number and the sum of both numbers is -23.

We have to find the value of both of the numbers.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

One number is seven less than the other.

Let's assume 1st number is x.

The 2nd number will be x - 7.

Given ;

Sum of both numbers = -23

i.e.,

x  + (x −7) = −23

2x−7 = −23

2x = -23 + 7

2x = −16

x = −8

So ;

The numbers will be ;

1st number = −8

and

2nd number = x − 7

= - 8 - 7

= -15

Thus , the numbers are −8 and −15.

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Answer:

We can solve this using ratio and proportion. Let x be the number of hits the baseball player will have in the next 28 games.

4 : 8 = x : 28

(4)(28) = (x)(8)

112 = 8x

112/8 = 8x/8

14 = x

Step-by-step explanation:

Answer:

14 hits

Step-by-step explanation:

We can use a ratio to solve

4hits            x hits

------------ = -------------

8 games      28 games

Using cross products

4 * 28 = 8x

Divide each side by 8

112/8 = x

14 = x

14 hits

Answer:

your answer would be 8000, i hope this helps.

The complete sentence is that [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

A fraction is a piece of another or, more broadly, a set of equal pieces. In everyday English, a fraction refers to the number of portions of a particular size, such as half, eighths, and thirds.

[tex]\boldsymbol{80000=\frac{1}{10}\times 800000}[/tex]

So, [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

Here, of denotes sign of multiplication.

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Answer:

The side length of the square is 3 meters.

The side length of the triangle is 4 meters.

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we have to create two different equations. Let's assume [tex]s[/tex] is the side length of the square and [tex]t[/tex] is the side length of the triangle.

We can make the equation [tex]4s=3t[/tex], since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)

We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes [tex]t = s+1[/tex].

Now, let's substitute the second equation ([tex]t = s+1[/tex]) into the first ([tex]4s=3t[/tex]).

[tex]4s = 3(s+1)[/tex]

Apply the distributive property:

[tex]4s = 3s+3[/tex]

Subtract 3s from both sides:

[tex]s=3[/tex]

So the side length of the square is 3. We can now plug it into the equation [tex]t = s + 1[/tex] to find the side length of the triangle.

[tex]t = 3+1\\\\t=4[/tex]

Hope this helped!

Answer:

9x - 24 ÷ 6

Step-by-step explanation:

Quotient means that one number will be divided by another, so the division sign will be involved in the expression.

9 times x minus 24 translates to 9x - 24.

Now, put it all together.

9x - 24 ÷ 6 will be the expression.

Hope that helps.

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

Answer:

(-3,-4)

Step-by-step explanation:

● (-1,-8) => (0,-11)

Notice that to move from -1 to 0 in the x-axis we should go one unit to the right wich means adding 1.

● -1 + 1 = 0

Notice that to move from -8 to -11 in the y-axis we should go 3 units down wich means substracting 3.

● -8-3 = -11

Let's do the same for the second point.

● (-4,-1) => ?

Add 1 to -4

● -4+1 = -3

We moved 1 unit to the right by adding 1

Substract 3 from -1

● -1-3 = -4

We moved down 3 units by substracting 3

So the image of (-4,-1) is (-3,-4)

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = [tex](\frac{-2+8}{2} ,\frac{1+9}{2} )[/tex]

               Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]

[tex]PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }[/tex]

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

Final answer:-

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

Answer:

The average speed for the four laps is 9 km/h.

Step-by-step explanation:

The average speed of the four laps can be calculated as follows:

[tex] \overline{v_{T}} = \frac{\overline{v_{1}} + \overline{v_{2}} + \overline{v_{3}} + \overline{v_{4}}}{4} [/tex]

Where:

[tex]\overline{v_{1}}[/tex]: is the average speed for the first lap

[tex]\overline{v_{2}}[/tex]: is the average speed for the second lap

[tex]\overline{v_{3}}[/tex]: is the average speed for the third lap

[tex]\overline{v_{4}}[/tex]: is the average speed for the fourth lap

Hence, the average speed for the four laps is:  

[tex] \overline{v_{T}} = \frac{12 km/h + 10 km/h + 8 km/h + 6 km/h}{4} [/tex]

[tex] \overline{v_{T}} = 9 km/h [/tex]                                      

Therefore, the average speed for the four laps is 9 km/h.

I hope it helps you!

Answer: 37.9 ft

Step-by-step explanation:

concept to know: trigonometric relation (sine, cosine, tangent)

In this case, we use cosine (adjacent/hypotenuse)

   cos (65)=16/x

16/ cos(65)=x

               x=37.9 ft (rounded)

Answer:

Step-by-step explanation: x can be 3, -3, i, or -i.

Explanation:

If you can't find the factoring by looking at this, simplify the equation.

let

x

2

=

y

to make things easier to see

Now we have

y

2

−

8

y

−

9

=

0

See it now?

We can factor into

(

y

−

9

)

(

y

+

1

)

Now substitute back in

x

2

for

y

.

(

x

2

−

9

)

(

x

2

+

1

)

Since

(

x

2

−

9

)

is a difference of two squares,

(

x

−

3

)

(

x

+

3

)

Now we have

(

x

−

3

)

(

x

+

3

)

(

x

2

+

1

)

x can be 3, -3 for the first two parts

x

2

+

1

=

0

can become

x

2

=

−

1

Taking the positive and negative root means

x

=

±

√

−

1

Thus

x

=

±

i

in addition to 3 and -3.

Answer:

My answer is.

Paying of taxes.

Serving the nation with all our might and strength

Answer: C. Stratification

Step-by-step explanation: There are diverse samping techniques employed for statistical purposes depending on the tipe and nature of data available or other factors. When a data population is sampled in sects such that the entire data is divided into a equals groups at a fixed intervals based on a certain criteria, it is called stratified sampling. Here, data is divided into strata, with each stratum containing a fixed amount of samples with each partition taking place at regular interval. In the scenario stratification process is employed by sampling at a fixed and regular interval, however, the random nature of the data is not violated.

Answers:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

  B.  6 Large taxis =  $498 + 9 Small taxis = $450     498+450= $948

    C.  5 Large taxis and 10 Small taxis

Step-by-step explanation:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra

  B.  6 Large taxis =  $498 + 9 Small taxis = $450     498+450=948

    C.  5 Large taxis and 10 Small taxis

While the more small taxis there are, the more cheaper it is for Max but the less seats there would be for 75 people, So I did 1 more small taxi and 1 less large taxi.

The total number of seats now is 75 seats which is perfect amount for 75 people

So the total cheaper cost would $915 while still maintaining a fair amount of seats which is 75

Answer:

0 Is Integer ,

rational and a

whole number.

Hope it helps.

Answer:

you combine like terms and that will get you your answer

Step-by-step explanation:

2x+x

2y+3y

15+2

to get your answer

The answer is 0.73 because in 0.975 the value of digit 7 is 7/100 ,10 times of 7/100 is  7/10 and the value of 7 in 0.73 is 7/10 ;.tenth value.

The value of each digit in a number is known as the place value. The number is 0.73. The correct option is C.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The value of digit 7 in the number 0.975 is hundredth. Therefore, the digit 7 in the number 0.975 is equal to 7/100.

Now, if the number is 10 times as great as digit 7 in 0.975. Therefore,

7/100 x 10 = 7/10 = 0.7

Thus, the number in which digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975 is the number that is at the first place after the decimal.

Hence, the number is 0.73.

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I think its 1/6

I'm not sure tho

u take the bottom and subtract it by the top then multiply

Answer:

I think its 1/6

You will end up taking the bottom number and subtract it by the top number then multiply to get your final

Step-by-step explanation:

Answer:

750

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

Angle 1 and angle 2 are the angles made between two lines intersecting each other at a point and a third line is perpendicular to one of them.

Therefore, both the angles are equal in measure.

Rest all the options are not applicable to show the relation between these angles.

Option (2) will be the correct option.

Answer:

21 is option 3

22 is option 3

23 is option 1

Step-by-step explanation:

In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe ...