What is the probability of the following.
(a) An event A that is certain to occur?
(b) An event B that is impossible?
Enter an exact number

Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]

2) (3 , -4) ; m= 3

[tex]y - y_{1} = m(x - x_{1}[/tex])

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]

         [tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

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

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}

=

3−[−6]

−5−2

=

3+6

−5−2

=

9

−7

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

Answer: 1/3x + 1/6

Step-by-step explanation:

The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:

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

= 1/3x + 3/4 - 1/4 - 1/3

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

= 1/3x + 3/6 - 2/6

= 1/3x + 1/6

Answer:

1/3x + 2/4

Step-by-step explanation:

(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

Answer:

[tex]B = \frac{1}{2}A[/tex]

[tex]A = 2B[/tex]

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

[tex]B = \frac{1}{2} * A[/tex]

[tex]B = \frac{1}{2}A[/tex]

Multiply both sides by 2

[tex]2*B = \frac{1}{2}A*2[/tex]

[tex]2B = A[/tex]

[tex]A = 2B[/tex]

Answer:

Cheese B

Step-by-step explanation:

Find the cost of 1 slice for Cheese A:

Find the cost of 1 slice for Cheese B:

Make a conclusion:

Because $0.32 is less than $0.359, Cheese B is the better buy.

I hope this helps!

Step-by-step explanation:

the exterior angle is equal to the sum of the interior angles on the opposite side.

As in angle BCD = angle BAC + angle ABC

113 = 72+angle ABC

angle ABC = 41

Answer:

180-113 to find the linear angle.

add that result with 72.

once found the sum, use 180 to subtract the sum to get angle B.

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

Answer:

FE

Step-by-step explanation:

i hope you help this answer

For the two similar figures, the expression can be written as:

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.

For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.

The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:

ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

To know more about similarity follow

https://brainly.com/question/30068992

#SPJ7

Answer:

f(15,055) is the number of pages in a book with 15,055 words.

Step-by-step explanation:

f(w) = length of book (in pages).

w = number of words

Thus, from the options given, the only true statement about the function is that:

f(15,055) = number of pages of a book that has 15,055 words.

"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.

Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5

Answer:

i believe its 9 too

Step-by-step explanation:

Answer:

1 hour and 53 minutes

Step-by-step explanation:

Your welcome

Answer:

a. (0,3)

b. (-4,-3)

c. (-2,0)

d. (-1 1/3, 1)

e. (4,9)

f. (-3 1/3, -2)

Step-by-step explanation:

Answer:

3x is greater then 3 because 3x has 3 of x and 3 is plain 3

Answer: 4 weeks

Step-by-step explanation: 28 divided by 7 is 4.

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation:

Answer: I believe the scale is balanced.

Step-by-step explanation: I stated that because since the other side of the scale contained 12 marbles that were 1 pound each that would be 12 pounds and then since 4+8=12 12 pounds of marbles were also put on the other side.

Answer:

80˚

Step-by-step explanation:

Since the angles are equal, we can make this equation:

2x + 65 = 8x + 5

60 = 6x

x = 10

so if we put x = 10 in 8x + 5 we get

8x + 5

8(10) + 5

80 + 5

85

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

Answer:

Follows are the solution to this question.

Step-by-step explanation:

Please find the solution file for the question in the attachment.

Answer:

Yes it can have the lengths 1, 5 and 5