The time spent by a teacher on schoolwork during the weekend is normally distributed with a mean of 6 hours and a standard deviation of 1.2 hours.
a) What amount of time do the bottom 20% of teachers work?
b) What amount of time do the top 20% of teachers work?
c) What amount of time do the middle 40% of teachers work?

Answer:

The surface area equals 45.

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.

Answer:

81

Step-by-step explanation:

(-81)(-1) = 81

Answer:

212×2×2×8×2×2×2×6= 325636

I hope the answer is correct. I hope I will get 5points

Answer:

2 units i hope this helps you

Answer:

y = 5/8x + 9

Hope this helps!

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

Answer:

x = 8, and y = 0

Step-by-step explanation:

We can solve this by taking y as (x-8), as it states there.

Since y is equal to x-8, we can rearrange the system of equations into one single equation.

We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.

Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.

We can now organize our equation here.

3x - 8x + 64 = 24.

We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.

We will get something like:

3x - 8x + 64 - 64 = 24 - 64.

Simplify by solving like terms like the x value and the integers.

-5x = -40

Divide both sides with division property of equality:

-5/5x = -40/5

x = 8

We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.

y = (8) - 8

y = 0

Therefore, x = 8, and y = 0.

The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

Answer:

12

Step-by-step explanation:

2

4

6

8

10

12

14

16

18

20

22

24

26

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

Answer:

6 is the answer

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

Comment:  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit larger than 4.  g(5) = |5 - 1| = 4.

Answer:

c

Step-by-step explacnation:

Answer:

D

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28

Answer:

75,625

Step-by-step explanation:

cause a dictionary contains all known words including dictionary..my turn!.look in the comments!

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

Answer:

20x +80y -60 hope this helped:)

Step-by-step explanation:

Answer:

a⁸=112 is the answer.

Step-by-step explanation:

a⁸=32(1/2)⁷

a⁸=32(7/2)

a⁸=112

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

Answer:

Its the second one

Step-by-step explanation:

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

Answer:

A] Probability = 1/n ; B] Number = 8

Step-by-step explanation:

Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1

A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n

Alternative, Prob  (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ]  = 1 / n

B] Prob (each color , a blue & red counter taken) = 0.125  {Given}

By A], this Prob = 1/n.

So, 0.125 = 1/n → n = 1 / 0.125 = 8

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!