It has been determined that 15% of all cars tested emit excessive hydrocarbons, 12% emit excessive CO, and 8% emit excessive amounts of both. Find the probability that emissions of both hydrocarbons and CO are excessive. Round your answer to 2 decimal places.

Answer:

3X+ 2X =180

5X = 180

X,/ 180/5

X = 36

Answer:

slope = 2, y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4 + 2x , that is

y = 2x - 4 ← is in slope- intercept form

with slope m = 2 and y- intercept c = - 4

Answer:

31.0

Step-by-step explanation:

The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.

Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers

= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37

= 248

The mean = 248/8

= 31

Answer:

4900

Step-by-step explanation:

so what you're going to do first is you're going to do 114* 43 which equals 4902 then you round that and you're going to have 4900I am not a hundred percent sure

Answer:

p=22

sooooooooooooooooo ezzzzzzzzzzzzzzzzzzzzz

Answer:

There are two possible solutions:

Clockwise rotation

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (10, -5)[/tex]

Step-by-step explanation:

There are two possible answers: (i) Clockwise rotation, (ii) Counterclockwise rotation. Vectorially speaking, rotation of point of rotation of a point about another point of reference is defined by:

[tex]P'(x,y) = O(x,y) + r_{OP}\cdot (\cos (\theta_{OP}\pm \theta'),\sin (\theta_{OP}\pm \theta'))[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]r_{OP}[/tex] - Length of the segment OP.

[tex]\theta_{OP}[/tex] - Direction of segment OP, measured in sexagesimal degrees.

[tex]\theta '[/tex] - Angle of rotation, measured in sexagesimal degrees.

Please notice that clockiwise rotation occurs when [tex]\theta = \theta_{OP}-\theta'[/tex] and counterclockwise rotation when [tex]\theta = \theta_{OP}+\theta'[/tex]. In addition, we define length and direction of the segment below:

[tex]r_{OP} = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}[/tex] (1)

[tex]\theta_{OP} = \tan^{-1} \frac{y_{P}-y_{O}}{x_{P}-x_{O}}[/tex]

If we know that [tex]x_{O} = y_{O} = 0[/tex], [tex]x_{P} = 5[/tex], [tex]y_{P} = 10[/tex] and [tex]\theta' = 270^{\circ}[/tex], then the coordinates of the first car after rotation is:

[tex]r_{OP} = \sqrt{(5-0)^{2}+(10-0)^{2}}[/tex]

[tex]r_{OP} \approx 11.180[/tex]

Please notice that original point is located at first quadrant of the Cartesian plane centered at origin, then the direction of the segment OP is:

[tex]\theta_{OP} = \tan^{-1} \frac{10-0}{5-0}[/tex]

[tex]\theta_{OP} \approx 63.435^{\circ}[/tex]

The two solutions are finally presented:

Clockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (-206.565^{\circ}),\sin (-206.565^{\circ}))[/tex]

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (333.435^{\circ}),\sin (333.435^{\circ}))[/tex]

[tex]P'(x,y) = (10, -5)[/tex]

Answer:

The answer is 9

Step-by-step explanation:

27^2 =729

729/27^4/3

Answer:

I believe it's eighteen.

Step-by-step explanation:

Answer:

its increasing by 12

Step-by-step explanation:

Just count upward

Answer:

The Independent is the Number of Hours while the Dependent is the Number of Miles

Equation: y= 50x

Step-by-step explanation:

I Hope this helped

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

Answer:

They would pay $28.

Step-by-step explanation:

4 x 3 = 12, 22-12= 10. $10 is initial fee.

6 x 3 = 18, 18+10= 28. $28 for 6 hours

Answer:

нечего не понятно но очень интересно да, очень

Answer: Rs. 1,650

Step-by-step explanation:

First find the original price of the watch.

If the watch is sold at Rs. 1,275, there is a 15% loss.

Assume the watch is x.

(1 - 15%) * x = 1,275

0.85x = 1,275

x = 1,275 / 0.85

x = Rs. 1,500

Now add a 10% markup on the original:

= (1 + 10%) * 1,500

= 1.1 * 1,500

= Rs. 1,650

Answer:D!

Step-by-step explanation: i’m taking the test rn!

Solution :

The amount invested by Yvonne = $ 4,000

Time of investment = 3 years

The simple interest earned by Yvonne in 3 years = $ 960

a). Therefore, the amount Yvonne earned by the end of three years is

= principal + interest earned

= 4,000 + 960

= $ 4,960

b). The formula for simple interest(S.I.) is given by :

   [tex]$S.I. =\frac{P.T.R}{100}$[/tex]

  or [tex]$R = \frac{SI \times 100}{P.T}$[/tex]

          [tex]$ = \frac{960 \times 100}{4000 \times 3}$[/tex]

          = 8%

c). Now if the interest rate is 1% greater, i.e. R = (8+1) = 9%

   ∴ [tex]$SI =\frac{P.T.R}{100}$[/tex]

      [tex]$SI =\frac{4000 \times 3 \times 9}{100}$[/tex]  

      SI = $1,080

Therefore, the amount at the end of 3 years with 9% rate of interest will be

  = 4000 + 1080

  = $ 5080

Thus, Yvonne will have 5080 - 4960 = $ 120 money more in her account if the rate of interest was 1% greater.

Answer: Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

equal the equations

(x+20)=(2x-10)

then answer the equation

Step-by-step explanation:

Answer:

12mlies

Step-by-step explanation:

just add 7 + 5 and boom you have you answer

Answer:

-234

Step-by-step explanation:

5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234

Answer:

I simplified it to -20x - 35

Step-by-step explanation:

-5 times 4x is -20x, -5 times 7 is -35.

Step-by-step explanation:

since it is a circle the diameter is two times larger than radius.So 4×2=8km

Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

(Khan Academy)

You would first find your mean and then when you found that you would subtract you Q3 from your Q1 in order to find your IQR (Interquartile range.)

Answer:

[see below]

Step-by-step explanation:

50 apples cost 25 dollars.

25/50 = 0.5

Each apple cost half a dollar.

0.5 * 75 = 37.50

75 apples should cost $37.50.

Hope this helps.

Answer:

Step-by-step explanation:

h₁₀ - h₇ = 31-25 = 6 ft

The tree grew 6 ft in 3 years, or 2 ft per year.

In 7 years the tree grew 14 ft. It was 25-14 = 11 ft when planted

Answer:

The answer would be 5

Step-by-step explanation: Plz mark brianliest

Answer:

Answer for the first pic is 122.24  

Answer for the second pic is A

Step-by-step explanation:

the rectangle is 72 in

the semi-circle is 50.24

Answer for the first pic: 122.24 in  

Answer for the second pic: A

Answer:

[tex]\displaystyle EF \approx 15.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Answer:

A. V13

Step-by-step explanation: