(x-8)2 – 7 = 25
Factored

9514 1404 393

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

  3x +5 = -2x +10

  5x = 5 . . . . . . . . . add 2x-5

  x = 1 . . . . . . . divide by 5

  3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  [tex]$=\frac{14}{8!}$[/tex]

 = [tex]$\frac{14}{40320} = 0.000347$[/tex]

b). The probability that the marketing director to be placed in the leftmost position is

   [tex]$=\frac{7!}{8!}$[/tex]

  [tex]$=\frac{1}{8} = 0.125$[/tex]

c). The two events are not independent because

   [tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]

  [tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]

where A is the case a and B is the case b.

(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].

(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].

(c) So, the two events are dependent on each other.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.

Total people in company A and company B is [tex]=8[/tex]

Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]

                                                                                        [tex]=40320[/tex]

(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]

Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].

by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]

                                                                [tex]=5040[/tex]

Again, combine the general manager and vice president in one line[tex]=2![/tex]

                                                                                                                [tex]=2[/tex]

Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]

                          [tex]=\frac{10080}{40320}[/tex]

[tex]P(A)=\frac{1}{4}[/tex]

(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]

Now, fixing the position of marketing director in the leftmost.

arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]

Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]

                          [tex]=\frac{1}{8}[/tex]

[tex]P(B)=\frac{1}{8}[/tex]

(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.

Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.

So, the two events are dependent on each other.

Learn more about the topic of Probability: https://brainly.com/question/26959834

Answer:

A = $2937.5

Step-by-step explanation:

Given the following data;

Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850

Therefore, Principal = $2850

Time in years = 36 months/ 12 months = 3 years

Interest = 1% = 1/100 = 0.01

n = 360

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

[tex] A = 2850(1 + 0.000028)^{1080}[/tex]

[tex] A = 2850(1.000028)^{1080}[/tex]

[tex] A = 2850(1.0307)[/tex]

A = $2937.5

Therefore, the graduate will have $2937.5 when he cashes in the CD.

Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

Answer:

43.88

Step-by-step explanation:

Using the sine rule

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Answer: C

Step-by-step explanation:

The slope is

[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]

This eliminates all the options except for C.

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.

Answer:

15 (A)

A is the legit answer.

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Answer:

I say D cuz if u look at it, it's a pretty wide enough angle to be at least 47°

Answer:

your answer is c

Step-by-step explanation:

for it to be 137 degrees, the line would have to change direction to get to that angle, and same with the others, and with 43 degrees, it already gives you the measurement of  N F so you can just take that same angle and put it there as your answer.

HTH!!

Answer: domain: {-2, -1, 0, 1}

range: {0, 1, 2, 3}

Answer:

B

Step-by-step explanation:

the truck owner saves 7$ from every tires by buying at the selling price.

Answer:

14 yards

Step-by-step explanation:

length of basketball court=

7 inches

(times by 2.8) 2.5 inches-5 yards( times by 2.8)

7 inches=14

i hope i helped:)

Answer: 4

Step-by-step explanation: Good luck! :D

Answer:

4

Step-by-step explanation:

Answer:

8/15 of Jayda's vegetable garden are beefsteak tomatoes.

Step-by-step explanation:

Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:

The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.

Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.

Answer:It is The first one.

Step-by-step explanation:

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

Answer:

69%

Step-by-step explanation:

Im just doing this to get my points up. dont get mad

Answer:

x = 15.69

Step-by-step explanation:

Reference angle = 35°

Opposite side to reference angle = 9

hypotenuse = x

Find x using trigonometric ratio.

Thus,

Sin 35 = 9/x

Multiply both sides by x

x*sin 35 = 9

Divide both sides by sin 35

x = 9/sin 35

x = 15.69 (nearest hundredth)