a.) Rewrite the equation 9x-3y-9=0 in slope-intercept form.
B) Give the slope and y- intercept.
C) Use the slope and y -intercept to the graph the linear function.

Answer:

P [ 40000 ≤ X ≤ 45000 ] =  0,02773    or  2,8 %

Step-by-step explanation:

P [ 40000 ≤ X ≤ 45000 ]  = ?

To find the probablity    P [ X ≤ 40000 ] =  ?

z(s)  = ( X - x ) / σ

z(s)= ( 40000 - 6000 )/ 8300

z(s) =  -20000/8300

z(s) ≈  - 2,41

Then

from z-table we find P [ X ≤ 40000] =  0,00820

Now again:

For  P [ X ≤ 45000 ]

z₂  = ( X - x ) / σ

z₂ =  ( 45000 - 6000 ) / 8300

z₂ = - 15000 / 8300

z₂ = - 1,8072

z₂ ≈ 1,81

From z - table

For  P [ X ≤ 45000 ] =   0,03593

Then:

P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820

P [ 40000 ≤ X ≤ 45000 ] =  0,02773    or  2,8 %

Answer:

Step-by-step explanation:

1.25 km × 0.75 km = 0.9375 km²

1 km = 100 hectares

0.9375 km² = 93.75 hectares²

Answer:

a) x = 69°

b) y = 69°

Step-by-step explanation:

a. Given that AB and CD are parallel lines, therefore:

x = 69° (alternate interior angles are congruent to each other)

b. y + 111° = 180° (consecutive interior angles are supplementary)

y = 180° - 111° (substraction property of equality)

y = 69°

Answer:

A

Step-by-step explanation:

Answer:

350?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Prism A Volume

The Column of Prism A = Base (Area) * Height.

I think you have to assume that the triangle is a right triangle.

Area of the triangle = 1/2 * 9 * 7

Area of the triangle = 1/2 63

Area of the triangle = 31.5

Volume of the Prism = area of the triangle * thickness

Volume of the prism = 31.5 * 4

Volume of the prism = 126 m^3

Prism B = L * w * h

Prism B = 8 * 8 * 2

Prism B = 128

Prism A has the least volume by just a little.

Answer:

Prism A has the least volume

Step-by-step explanation:

I  just know ^w^

Answer:

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

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

hope this helps

Answer:

18

Step-by-step explanation:

Answer:

8 pies.

Step-by-step explanation:

Answer:

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Step-by-step explanation:

Given the data in the question;

Starting position:     1     2     3     4     5     6

# of Winners:         25   22   18   19    21   15

Mean x" (E) = (25+22+18+19+21+15)/6 = 120/6 = 20

Observed/Expected value table;

O       E            ((O-E)²) / E

25    20            1.25

22    20            0.2

18     20            0.2

19     20           0.05

21     20           0.05

15     20           1.25

∑                         3

so using chi square = ∑(((O-E)²) / E) = 3

DF = n-1 = 6-1 = 5

then, the critical chi square value is;

significance level = 0.05

chi square( critical ) = 11.07049769

from table;

p - value = 0.699986

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Answer:

750 cubic feet

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We have an equation and are asked to find the input of x when y = 7.

The output = y = 7

The input = x

7 = 2x - 3

2x - 3 = 7

We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method  to solve our answer.

2x - 3 = 7

7 + 3 = 2x

10 = 2x

Solve for x by dividing 2 from both sides :

x = 5.

Therefore, you would need an input of 5 to get 7 as the output.

Proof :

2(5) - 3 = 7

10 - 3 = 7

Answer:

x = 5

Step-by-step explanation:

Remark

This is a fancy way of asking you what is the value of x when y = 7

Equation

7 = 2x - 3

Solution

7 = 2x - 3                  Add 3 to both sides

7 + 3 = 2x                 Combine the left.

10 = 2x                      Divide by 2

2x/2 = 10/2

x = 5

Answer:

4.25 days

Step-by-step explanation:

Divide 15300 by 3600 to get the amount of time it takes. It takes 4.25 days for the bulb to consume 15300 watt-hours.

Answer:

11700

Step-by-step explanation:

15300-3600=11700

Answer:

y = 4x+4

Step-by-step explanation:

Using the coordinate point (1, 8) and (2, 12) from the table

Slope m = 12-8/2-1

m = 4/1

m = 4

Get the intercept

Substitute m = 4 and (1, 8) into y = mx+c

8 = 4(1) + c

8 - 4 = c

c = 4

Get the required equation

y = 4x + 4

Hence the required linear equation is y = 4x+4

Answer:

B

Step-by-step explanation:

Answer:

228750

Step-by-step explanation:

283×610=172630

10×610=6100

82×610=50020

Answer:

C

24, 5, 48, 4 because blue is 6 times green

Step-by-step explanation:

Hope this helps

Answer:

2m+14

Step-by-step explanation:

I hope its right

Answer:

2(m+14)

Step-by-step explanation:

m represents how much Ashton has.

-add 14 to how much Ashton has

(m+14) represents how much Riley has.

-multiply how much RIley has by 2

2(m+14) represents how much Peyton has.

Answer:

6 and 12 have the greatest common factor of 2

Answer:

4

Step-by-step explanation:

Answer:

x = -1 , y = -1

Step-by-step explanation:

We have system of equations and are asked to solve them.

We are looking for x and y, since both equations start with y, we can plug one to the other.

y = 5x + 4

y = 7x + 6

5x + 4 = 7x + 6

Now isolate x byitself to get x :

5x + 4 = 7x + 6

Subtract 4 from both sides :

5x = 7x + 2

Subtract 7x from both sides :

-2x = 2

Divide -2 by both sides :

x = -1

Now that we know what x is, we can substitute it into the equations seapraretly.

y = 5(-1) + 4

y = 7(-1) + 4

y = -5 + 4

y = -7 + 6

-5 + 4

-1

-7 + 6

-1

Therefore, both x and y equal -1

Step-by-step explanation:

5x4=20

Answer:

18.75

Step-by-step explanation:

18.75

Answer:

B. {x| -3 < x ≤ 2}

Step-by-step explanation:

The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.

The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:

{x| -3 < x ≤ 2}

Answer:

i have attached an image of the graph of y = log(-x)

Answer:she will have 96,600

Step-by-step explanation:

Hope this helps