1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krek1111 [17]
3 years ago
11

A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincol

ns; and a Toyota dealer. If an experiment consists of observing the brand of the next car sold, then the events A = {5 Chevrolet, 6 Buick} and B = {5 Ford, 6 Lincoln} are mutually exclusive because the next car sold cannot be both a GM product and a Ford product.
Identify three events that are mutually exclusive.
Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

Step-by-step explanation:

- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.

                             P (A & B) = P (B & C) = P (A & C) = 0

- In our case these events A,B, and C can be defined as:

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

You might be interested in
PLEASE HELP!!! OFFERING LOTS!
OLga [1]

Answer:

55 because if u take the 6 and 3 and multiply then subtract 4 and whatever you get that's your answer same with the others

5 0
3 years ago
Read 2 more answers
Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
3 years ago
Solving one to two step equations . algebra 1 .
frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11     /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

   +15    +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6    /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20  +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1     /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12            -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7         +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

      -2     -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4     /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9         +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8   /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

  +14    +14

b = 5

3 0
3 years ago
How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that
Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

5:6::x:15\\

Product of mean = Product of extreme

6*x=15*5\\6x=75

Dividing both sides by 6

\frac{6x}{6}=\frac{75}{6}\\x=12.5

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9527422
  • brainly.com/question/9381523

#LearnwithBrainly

8 0
2 years ago
6.7 more than 5 times a number is 20
IrinaK [193]
Subtract 6.7 from 20. This is 13.3. Divide 13.3/5 is 2.66. That is the answer
6 0
2 years ago
Read 2 more answers
Other questions:
  • explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression
    13·2 answers
  • Write a proportion that can be used to find the part if you know the base and the percent. Then, solve the proportion.
    15·1 answer
  • The line plot shows the weight gain, in pounds, of several dogs seen on Monday by a veterinarian at the animal clinic. A number
    14·2 answers
  • 16.437 rounded to the nearest hundredth is 16.43. true or false
    13·1 answer
  • Graph the line with the slope -3/4 passing through the point (4,-1)
    10·1 answer
  • Simplify <br><br> 2√10 * 3√12<br><br> Please don’t guess I beg u
    14·1 answer
  • ARE YOU A GEOMETRY EXPERT?? ARE YOU WILLING TO HELP ME?? DO YOU NEED POINTS AND BRAINLIEST? COME RIGHT THIS WAY I NEED ALL THE H
    7·1 answer
  • Three integers have a mean of 7, a median of 5 and a range of 14. find the three integers​
    6·1 answer
  • What that two numbers when multiplied give 600 and when added give 59 ​
    15·1 answer
  • 1. If 6.5 pounds of cherries cost $12, what is the
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!