The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answer:

0.121

Step-by-step explanation:

From the given information:

Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)

To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:

[tex]\mu_x = E(X)[/tex]

[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]

[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]

[tex]\mu_x =3.5[/tex]

The standard deviation is :

[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]

[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]

[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]

[tex]\sigma _x = 0.892[/tex]

However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :

[tex]X \geq \mu_x +\sigma_x[/tex]

[tex]X \geq 3.5 +0.892[/tex]

[tex]X \geq 4.392[/tex]

[tex]X \geq 5[/tex]

∴

[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]

[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]

Answer:  x>15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

>

15

Interval Notation:

(

15

,

∞

)

Answer:

-4

Step-by-step explanation:

-12x+18=-16x+2

+16x       +16x

4x+18=2

    -18   -18

4x=-16

/4     /4

x=-4

Answer:

x=‒4

Step-by-step explanation:

‒6(2x‒3)=‒2(8x‒1)

‒12x+18=‒16x+2

‒12x+16x=2‒18

4x=‒16

4x/4=‒16/4

x=‒4

i hope it helps you.

Answer:

the quotient of 4 and n

Step-by-step explanation:

or 4 divided by n

Answer:

I think it is 0.51? (I am complety off aren't I/)

Step-by-step explanation:

Answer:

i think it is 8

Step-by-step explanation:

but i am not sure

Answer:

5 times the quantity of 30 is (5*30) = 150 robots are needed.

Step-by-step explanation:

....

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

Answer:

uh 10?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.

Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.

Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.

So, x+90=215

[tex]\Rightarrow x=215-90=125.[/tex]

Hence, the number of fraternity men on the campus was 125.

Answer:

x = 1

Step-by-step explanation:

6x + 6x - 7 = 5

combine like terms

12x - 7 = 5

add 7 to both sides of the equation

12x - 7 + 7 = 5 + 7

12x = 12

divide both sides of the equation by 12

12x/12 = 12/12

x = 1

Answer:

x=1

Step-by-step explanation:

The attachement below.

*Remember: This is combining like-terms and solving 2-step equations*

Answer:

i agree

Step-by-step explanation:

Answer:

possibly " remainders "

Step-by-step explanation:

hope this helps <3

Answer:

for every 5 units to the right, there is 1 unit up

the slope is y = 1/5

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the differences in number of guests in this 2 party :

[tex]31 - 20 = 11 \: guests[/tex]

Next, you have to divide by the smaller value which is the first party, then, multiply by 100 as the question wants percentage increase :

[tex] \frac{11}{20} \times 100 = 55\%[/tex]

Answer: 50

Step-by-step explanation:

Answer:

8 Bags

Step-by-step explanation:

If two bags cost $5, and you can spend $20, the amount of money multiplies by 4, so the number of bags would also.

2 x 4 = 8

Answer:

34.56

Step-by-step explanation:

it is what it is

Answer:

ok, and?

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The sum of a polygon's angles is 180° (n − 2), where n is the number of sides.  A hexagon has 6 sides, so the sum of the angles is:

180° (6 − 2) = 720°

Therefore:

720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110

720 = 26x + 278

26x = 442

x = 17

Answer:

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Step-by-step explanation:

A relation may or may not represent a function.

The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

For a relation to be considered a function, then the x values must point to different y-values.

The above condition is true for the relation (3).

This is so because all x values in this relation point to different y-values.

Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

Read more about relations and functions at:

https://brainly.com/question/10283950

Answer:

B.-7/25

Step-by-step explanation:

edge

The required value of cos(2x) is -7/25. Option B is correct.

sinx = 4/5
cosx < 0

Trigonometry is the study of angles in mathematics.

Here,
cos(2x) = 1-2sin²x
           = 1 - 2 x 4²/5²
           =  1 - 32/25
cos(2x) =  -7/25

Thus, the required value of cos(2x) is -7/25.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

2x³ = x • 2x², and

2x² (x + 3) = 2x³ + 6x²

Subtract this from the dividend to get a remainder of

(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5

-2x² = x • (-2x), and

-2x (x + 3) = -2x² - 6x

Subtract this from the last remainder to get a new one of

(-2x² - 5) - (-2x² - 6x) = 6x - 5

6x = x • 6, and

6 (x + 3) = 6x + 18

This gives a new remainder of

(6x - 5) - (6x + 18) = -23

x does not divide -23, so we're done, leaving us with

[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]

Answer:

>

Step-by-step explanation:

Step 1: Define

1÷2/3 ? 1

Step 2: Evaluate 1÷2/3

1÷2/3 = 1 · 3/2 = 3/2

3/2 = 1.5

Step 3: Find

1.5 ? 1

1.5 > 1

Answer:

It's D

Step-by-step explanation:

Answer:12 and 15

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

(5) (-9) (-2)

-45 (-2) = 90

hope this helps

Answer:

m = 4/3

Step-by-step explanation:

Slope of line is given by

m = (y2-y1)/(x2-x1)

where

(x1,y1) and (x2,y2) are the two points on coordinate plane.

__________________________________________

Given points

(4,5) and (7,9)

using the above formula to find slope and plugging in the given points value

we have,

slope m = (9-5)/(7-4)

m = 4/3

Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.

inconsistent equation

Answer:

-23

Step-by-step explanation:

hope get Brainliest

Answer:

B.-23

Step-by-step explanation:

cuz im smart, im so smart my other account got banned...