A construction company has two divisions: ceilings and floors. The amount of revenue for the ceiling division, C, is approximately Normally distributed with a mean of $2.6 million per year and a standard deviation of $0.9 million per year. The amount of revenue for the flooring division, F, is approximately Normally distributed with a mean of $3.1 million per year and a standard deviation of $1.1 million per year. Assume C and F are independent random variables.

What is the probability that the ceiling division makes more revenue than the flooring division in a randomly selected year?
0.006
0.363
0.401
0.637

Answer:

answer is in the image. hope it helps.

Answer: it should be undefined

Step-by-step explanation:

Answer:

What are you trying to solve?

Step-by-step explanation:

Answer:

16. length=4

18. length=7

Step-by-step explanation:

Formula = area=length x height

16. 44=11xL

44 divided by 11 equals 4

18. 49=7xL

49 divided by 7 equals 7

Answer:

30 cm

Step-by-step explanation:

add all sides and use 7 for the bottom line because 5+2=7 and use 8 for the side because 5+3=8.

Answer:803.84

Step-by-step explanation:

3.14 x (16^2) = 803.84.  

16^2 is 256 so multiply that by 3.14

Answer:

1.1

Step-by-step explanation:

1 in probability means always so anything greater than 1 is meaningless

Answer:

Step-by-step explanation:

[tex] \sqrt{81 \times 25 \times 4} [/tex]

Since,

[tex] \sqrt{a \times b \times c} = \sqrt{a} \times \sqrt{b} \times \sqrt{c} [/tex]

Hence,

[tex] = \sqrt{81} \times \sqrt{25} \times \sqrt{4} [/tex]

= 9 × 5 × 2

= 90 (Ans)

Answer:

[tex]\sqrt{81*25*4} =90[/tex]

Step-by-step explanation:

Thanks!!

Have a great day!!

Answer:

Step-by-step explanation:

Perimeter= all sides added together

so in this case

3x+1 = 2x + 2x + x-1 + x+2 + x-1 + x + 2

now you may be wondering why i put two 2x's, two 2+x, and two x-1  , the far left side is 2x and has 2 lines and so does the bottom side which has 2 lines so theyre congruent ( the same case for the 2+x and x-1 )  so you need to account for all sides.

so lets simplify this huge equation!

3x+1 = 4x + 1x - 1 + 1x + 2 + 1x - 1 + 1x + 2

3x+1 = 8x - 1 + 2 - 1 + 2

3x + 1 = 8x + 2

-3x on both sides

1 = 5x + 2

-2 on each side

-1 = 5x

x = -1/5

Answer D

Step-by-step explanation:

A. -6+2y

Step-by-step explanation:

-2×3-2×(-y)

multiply the numbers

-6-2×(-y)

multiplying two negatives equals a positive

-6+2y

Answer:

a

Step-by-step explanation:

-2×3=-6 -2×-y=2y so you awnser us -6+2y

Answer:

I think it's D

Step-by-step explanation:

Answer:

I think it is C.

Step-by-step explanation:

I think it's C because the 2 is showing how long it took to get to the library.

Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.

Step-by-step explanation:

Answer: The answer is principal

Step-by-step explanation:

It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.

Answer:

B

Step-by-step explanation:

Answer:

B   The rate of change is constant and represents the cyclist's speed of 1120 ft/min

Step-by-step explanation:

The difference is always 1120ft for each minute

Answer:

96 tiles

Step-by-step explanation:

The kitchen floor is rectangular on shape.

The dimensions of the kitchen floor were 8 feet by 12 feet.

Hence, Area of a rectangle = Length × Width

Length = 8ft

Width = 12ft

Hence:

Area = 8ft × 12ft

= 96 ft²

If each tile was 1 square foot, the number of tiles he would need is

1 ft² = 1 tile

96 ft² = x

Cross Multiply

1ft² × x = 96 ft² × 1 tile

x = 96 ft² × 1 tile/1 ft²

x = 96 tiles

Therefore, Mark's father would need 96 tiles

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

The Answer Is H=3.5

have am amazing day <3

Answer:

[tex]h = \frac{7}{2} [/tex]

Step-by-step explanation:

1) Divide both sides by -4.

[tex]h = \frac{ - 14}{ - 4} [/tex]

2) Two negative makes a positive.

[tex]h = \frac{14}{4} [/tex]

3) Simplify 14/4 to 7/2.

[tex]h = \frac{7}{2} [/tex]

Therefor, the answer is 7/2.

Answer:

They are 24, 692 feet aprart

Step-by-step explanation:

Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.

Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.

Pluto's location to the sea level = 24,568 feet

Goofy's Location to the sea level = 124 feet

their distance apart = 24,568 feet + 124 feet =24, 692 feet apart

6 x -2 = -12

-12 = 3, -4

y = 6x^2 + 3x - 4x - 2

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

(2x + 1) (3x - 2) = 0

2x = -1, 3x = 2

x = -1/2, 2/3

pls give brainliest im trying to level up :))

Answer:

(2x+1)(3x-2)

Step-by-step explanation:

Given :-

We need to factor out the given expression. For that we may use the middle term splitting method. Taking the equation,

[tex]:\implies[/tex] y = 6x² - x - 2

[tex]:\implies[/tex] y = 6x² - 4x + 3x-2

[tex]:\implies[/tex] y = 2x ( 3x -2) +1( 3x -2)

[tex]:\implies[/tex] y = (2x + 1)(3x -2 )

Answer:

51 degrees

Step-by-step explanation:

All right angles are 90 degrees and all triangles interior angles add up to 180.

39+90=129

180-129=51

Step-by-step explanation:

apskaičiuoti trikampių perimetrą?

Answer:

Step-by-step explanation:

From the dot plot of start of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 5

Range of the data set = 10 - 5

                                    = 5 miles

From the dot plot of End of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 6

Range of the data set = 10 - 6

                                    = 4 miles

The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.

Answer:

11

Step-by-step explanation:

All angles on a triangle equal 180. 80+60=140.

Now to solve for x, we set it to equal 40 for 180-140.

40=3x+7. 40-7=33

33=3x 33/3=11

x=11

Answer:

Your answer is the first option, Lorenzo's icing will be darker!

Step-by-step explanation:

If they both added the same amount of yellow dye, than blue will determine how dark their icing is. Since Mariana added less blue, her dye will be lighter!

Answer:

[tex]36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

Step-by-step explanation:

Polar form:  [tex]z=r(\cos(\theta)+i\sin(\theta)[/tex]

To multiply two complex numbers in polar form, multiply the r values and add the angles.

[tex]w_1w_2=36\left[\cos{(95^\circ+32^\circ)}+i\sin{(95^\circ+32^\circ)}\right]\\\\=36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

Answer:

The answer is 65.97 yd^3

Step-by-step explanation:

The volume of a cone is: v = [tex]\pi r^{2}\frac{h}{3}[/tex]

So, v = [tex]\pi[/tex](3^2)(7/3) = 65.97345 yd^3

Answer:

hi

Step-by-step explanation:

Answer:

1. 12

2. 2y

4. 6 + y

St0ep-by-step explanation:

The quadrants in which sin and cosine will have same sign are :

=》1st quadrant - both have positive values

=》3rd quadrant - both have negative values

Answer:

scale factor = 2

Step-by-step explanation:

Determine the ratio of corresponding sides, image to original

scale factor = [tex]\frac{5}{2.5}[/tex] = 2

Answer:

2

Step-by-step explanation:

If one angle in Polygon A is 2.5

and one angle in polygon b is 5

5/2.5= 2

the answer is 2