Graph the line with a slope of −1 that contains the point (3,6)?

Step-by-step explanation:

[tex] \frac{7}{30} [/tex]

[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]

so 7 x 5.5 = 35.5,

250 x 5.5 = 1375

1/5 of 1375 = 275

2/5 = 550, 3/5 = 825

he spent 825

Answer:

mean = 4.5

SD = 1.2

Z value = (3-4.5)/1.2 = - 1.25

Percentage based on z value = 1 - pnorm(1.25) =  0.1056498 = 10.56498%

The response times under 3 minutes is 10.56%

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

mean = 4.5

SD = 1.2

Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25

Percentage based on z value = 1 - pnorm(1.25)

                                                 =  0.1056498

                                                 = 10.56498%

Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.

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Answer:

5.916

count N : 4

Sum, Ex : 44

Mean , M

Variance , o2 : 35

Step-by-step explanation:

we are creating the mean value of the squares of the differences of each data point to the mean value (variance), and then we pull the square root to bring the differences back to the same dimension as the basic data points.

and since we are dealing with the whole "population" of data points and not only with a sample of a much larger set of data points, that mean value of the differences is a true mean value (divide by n = the number of data points). if we would deal with a sample of a much larger population, we would divide by n-1.

so, how does this work in practice ?

let's go first for the given example :

2, 4, 6, 8.

the mean value is : (2+4+6+8)/4 = 20/4 = 5.

the variance (mean value of the squared differences of each data point to the mean value) :

((2-5)² + (4-5)² + (6-5)² + (8-5)²)/4 = (9+1+1+9)/4 = 20/4 = 5.

the standard deviation is the square root of the variance.

so,

SD = sqrt(5) = 2.236067977...

now for the given problem :

4, 8, 12, 20

the mean value is : (4+8+12+20)/4 = 44/4 = 11.

the variance (mean value of the squared differences of each data point to the mean value) :

((4-11)² + (8-11)² + (12-11)² + (20-11)²)/4 = (49+9+1+81)/4 = 140/4 = 35.

the standard deviation is the square root of the variance.

so,

SD = sqrt(35) = 5.916079783... ≈ 5.916

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

Answer:

Answer:

 B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

 a² -b² = (a -b)(a +b)

__

Here, we have ...

 a² -b² = 16x² -(-25)

 a² = 16x²   ⇒   a = 4x

 b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

 (a -b)(a +b) = (4x -5i)(4x +5i)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

20% of 60 is 12

Hope that helps

Answer: The angle is a acute angle not obtuse angle.

Step-by-step explanation:

Answer:

9 1/2n + 11

Step-by-step explanation:

9n + 1/2n + 4 + 7

9 1/2n + 11  or 19/2n + 11

A) The speed of the parachute in feet per second is; 198 ft/s

B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft

We are given;

Speed of parachute during freefall = 60 m/s

A) We are told that 1 m = 3.3 ft

Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s

B) Speed is now 198 ft/s

Time is 15 seconds

Formula for distance is;

Distance = speed × time

Distance = 198 × 15

Distance = 2970 ft

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Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

Answer:

HOPE ITS HELP

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

Answer:

Undefined

Step-by-step explanation:

Slope formula:

y2-y1/x2=x1

In (3,-1), 3 is x1 and -1 is y1

In (3, -6), 3 is x2 and -6 is y2

-6-(-1)/3-3

Which is -5/0

And that couldn't happen in a slope

So the answer is undefined

Hope this helps!

Answer:

Kate.

Step-by-step explanation:

Answer:

Kate, 29.26 is correct

Step-by-step explanation:

99.91 - 70.65 is 29.26

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

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Answer:

14/15

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%

i think the answer is 4 hope it helps

Answer:

45

Step-by-step explanation:

(f+g)(x)

f(x)= x-3, g(x)= 2x+8

Step-by-step explanation:

sum was the first name of integral

and the median is something in the middle

for example :

A . B . C

the median is B

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

Answer: 1200

Step-by-step explanation:

12*100 = 1200

Add the two 0’s in 100 to the end of 12 and get 1200

Answer:

Step-by-step explanation:

12 x 3=36 yx

12x2x3= 72 x*y

Answer:

11,550

Step-by-step explanation:

1200- 675( because its descending) + 250 ( its ascending) - 525 = 11,550

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 more cupcakes are needed.

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