Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:

conforms
yes no
1 22 8
supplier 2 25 5
3 30 10


Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities.
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85

Answer:

−3y2−8y−12

Step-by-step explanation:

Let's simplify step-by-step.

−5y2−9y−4−(−2y2−y+8)

Distribute the Negative Sign:

=−5y2−9y−4+−1(−2y2−y+8)

=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)

=−5y2+−9y+−4+2y2+y+−8

Combine Like Terms:

=−5y2+−9y+−4+2y2+y+−8

=(−5y2+2y2)+(−9y+y)+(−4+−8)

=−3y2+−8y+−12

Answer:

[tex]-3y^2-8y-12[/tex]

Step-by-step explanation:

Simplify each term.

[tex]-5y^2-9y-4+2y^2+y-8[/tex]

Simplify by adding terms.

[tex]-3y^2-8y-12[/tex]

hope this helps :)

Answer:

[tex] V_{total} = 26460 \pi~cm^3 [/tex]

[tex] V_{total} = 83127~cm^3 [/tex]

Step-by-step explanation:

The solid is made up of 2 cones and a cylinder.

Upper cone:

radius = 21 cm

height = h_1 = 70 cm - 35 cm = 35 cm

Cylinder:

radius = 21 cm

height = h_2 = 35 cm

Lower cone:

radius = 21 cm

height = h_3 = 40 cm

[tex] V_{total} = V_{upper~cone} + V_cylinder} + V_{lower~cone} [/tex]

[tex] V_{total} = \dfrac{1}{3} \pi r^2 h_1 + \pi r^2 h_2 + \dfrac{1}{3} \pi r^2 h_3 [/tex]

[tex] V_{total} = \dfrac{1}{3}(\pi)(21~cm)^2(35~cm) + (\pi)(21~cm)^2(35~cm) + \dfrac{1}{3}(\pi)(21~cm)^2(40~cm) [/tex]

[tex] V_{total} = \dfrac{1}{3}(\pi)(441~cm^2)(35~cm) + (\pi)(441~cm^2)(35~cm) + \dfrac{1}{3}(\pi)(441~cm^2)(40~cm) [/tex]

[tex] V_{total} = (147~cm^2)(35~cm)(\pi) + (441~cm^2)(35~cm)(\pi) + (147~cm^2)(40~cm)(\pi) [/tex]

[tex] V_{total} = 5145\pi~cm^3 + 15435\pi ~cm^3 + 5880\pi~cm^3 [/tex]

[tex] V_{total} = 26460 \pi~cm^3 [/tex]

[tex] V_{total} = 83127~cm^3 [/tex]

Answer:

42.25485 or 42.25

Btw is this your homework or a test.

Answer:

[tex]A=190.75\ cm^2[/tex]

Step-by-step explanation:

The diameter of a hemisphere, d = 9 cm

Radius, r = 4.5 cm

We need to find the surface area of the paperweight. The formula for the surface area of a hemisphere is given by :

[tex]A=3\pi r^2\\\\A=3\times 3.14\times (4.5)^2\\\\A=190.75\ cm^2[/tex]

So, the surface area of the paperweight is [tex]190.75\ cm^2[/tex].

Answer:

1a w=-9                 1b s=20/7

2a x=12                 2b v=11

3a b=10                 3b a=9/5

4a c=1                    4b x=2

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

2+6x=20

6x=20-2

6x=18

x=3

The value of the number is 3

Answer:

D. 120 square feet

Step-by-step explanation:

12×10=120

120 square feet

Answer:

D) 120 square ft

Step-by-step explanation:

If he wants to know the area you just multiply 10 by 12 which is 120

Answer:

The answer is 3,000 because the 5 next to the 2 make it go up

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

5 or bigger round up

4 or smaller round down

Answer:

899211cm

Step-by-step explanation:

Answer:

899211

Step-by-step explanation:

300x3000=900000

900000-789=899211

Answer:

the aria is what you need to multiply together

Step-by-step explanation:

Answer:

156 pages.

Step-by-step explanation:

Ophelia's reading speed is 104 pages / 2 hours = 52 pages/hour. So in 3 hours she will have read 3 * 52 = 156 pages.

Answer:

b

Step-by-step explanation:

Answer:

Answer is D.

Step-by-step explanation:

I hope it's helpful!

Answer:

x= 28

Step-by-step explanation:

combine the equations and set equal to 180, since a striaght line is 180 degrees. When combined you get, 6x + 12=180. Subtract, 180-12=168, then divide by 6 to get 28

Answer:

m<1=117

m<2=99

Step-by-step explanation:

Answer:

Angle 1 is 117 degrees.

Angle 2 is 59 degrees.

Step-by-step explanation:

Let angle 1 be x, and angle 2 be y.

By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.

Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.

Answer:

B

Step-by-step explanation:

The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.

Answer:

4:1

Step-by-step explanation:

Both numbers are divisable by 3, so 12 devided by 3 is for and 3 devided by 3 is 1, which would get you 4 : 1

Answer:

Step-by-step explanation:

Density is mass divided  by volume

d = 3/4 = 0.75 g/mL

Step-by-step explanation:

density=mass/volume=3/4 g/ml

Answer:

160

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

They are the same dimensions

Answer:

I think its true because there both the same shape and dimension

Answer:

No my dude its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12

Explanation:

1/4 × 12 = 3

Answer:

12

Step-by-step explanation:

1 cup -> 4  [tex]\frac{1}{4}[/tex] cups

3 cups -> 3 x 4 [tex]\frac{1}{4}[/tex] cups

          = 12 [tex]\frac{1}{4}[/tex] cups

Answer:

162 square feet

Step-by-step explanation:

Let the side lengths of the square be l feet each.

Then the diagonal together with any two sides forms an isosceles right triangle.

We can apply the Pythagoras Theorem, which says that, the sum of the squares of the two shorter legs equals the square of the hypotenuse ( the diagonal) in this case.

Divide both sides by

The area of the square garden is 162 ft²

The number of 1 foot by 1 foot square planter boxes that can fill this garden is

The area of the square garden will be 162 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that the length of the diagonal of the square is 18 feet. The area of the square will be calculated as,

Area = 1 / 2 x d₁ x d₂

Area = 1 / 2 x 18 x 18

Area = 9 x 18

Area  = 162 square feet

To know more about the area of the square follow

https://brainly.com/question/20654745

#SPJ6

Answer:

c. 15cm^2

Step-by-step explanation:

Answer:

c. 15 cm

Step-by-step explanation:

Area is multiplication of height and length, (or whatever you call it) and 5 multiplied by 3=15

Answer:

what drawing

Step-by-step explanation: