The mean is 0.500 and the standard deviation is 1.84 x 10-3. Gaussian Statistics Apply. How many replicate determinations are necessary if the standard error of the mean is not to exceed 0.100%

Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

-----------------------------------------------------

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]

Where, n = 8.

Plug in the value of n into the formula

[tex] = \frac{(8 - 2)180}{8} [/tex]

[tex] = \frac{(6)180}{8} [/tex]

[tex] = \frac{1,080}{8} = 135 [/tex]

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

0.17,1.7,2.0,16.9

Step-by-step explanation:

Answer:

0.17    1.7    2.0    16.9

Step-by-step explanation:

your going to look at the first number

Answer:

labeled is the answer your looking for

Answer:

1) 2x^3-2x^2+4x+20

Step-by-step explanation:

line up the equations, having each variable aligned with the similar variable, and distribute the minus sign across the parenthesis

7x^3              + 4x + 13

-(5x^3 + 2x^2          - 7)

---------------------------------

2x^3 - 2x^2 +4x +20

Answer:

Option "A" is correct answer to the following question.

Step-by-step explanation:

We know that, in triangle sum of two smaller lines ≥ largest side

So,

3 cm + 3 cm < 6 cm   [Not correct to the given situation.]

3 cm + 4 cm > 5 cm [Correct]

3 cm + 5 cm > 7 cm [Correct]

3 cm + 6 cm > 6 cm [Correct]

Answer:

A  The one that says 3 cm, 3 cm, 6 cm.

Step-by-step explanation:

Answer:

Y= -1x - 4

Step-by-step explanation:

Given:

Selling price of child ticket = $5.40

Selling price of adult ticket = $9.40

Total tickets = 168

Total sales = $1199.20

To find:

The number of adult tickets sold.

Solution:

Let x be the number of child tickets and y be the number of adult tickets.

Total tickets : [tex]x+y=168[/tex]          ...(i)

Total sales : [tex]5.40x+9.40y=1199.20[/tex]      ...(ii)

From equation (i), we get

[tex]x=168-y[/tex]

Put this value in (ii).

[tex]5.40(168-y)+9.40y=1199.20[/tex]

[tex]907.2-5.40y+9.40y=1199.20[/tex]

[tex]4y=1199.20-907.2[/tex]

[tex]4y=292[/tex]

Divide both sides by 4.

[tex]y=\dfrac{292}{4}[/tex]

[tex]y=73[/tex]

Therefore, 73 adult tickets were sold that day.

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

The answer is

6 hours : 1 book

Answer:

C

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

All you have to do is fill in the variables with the number it is.

e - 1/2f

15 - 1/2(2)

15 - 1

14

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest so I can move on the the next rank! :)

Answer:

14

Step-by-step explanation:

1/2 x 2=1

15-1=14

Answer:

24 :)

Step-by-step explanation:

12 divided by 3 = 4

24 divided by 3 = 8

36 divided by 3 = 12

4 + 8 = 12

12 + 12 = 24

Answer:

Step-by-step explanation:

Is there another part to the question? Maybe the original function?

Answer:

Width = 3 inch and length = 6 inch

Step-by-step explanation:

The width of a frame = x

A frame 3-in longer than it was wide. Length = 3+x

Area of the frame = 18 sq inch

We need to find the the dimensions of the length and width of the frame Zach purchased,

Area of a rectangle is given by : A = lb

[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]

Neglecting negative value

Width = 3 inch

Length = 3 + 3 = 6 inch

Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.

Complete Question:

Let x and y be positive integers and x be greater than y.

11x/11y = ?

Answer:

11x/11y = x/y

Step-by-step explanation:

Given

x > y

Required

11x/11y

From the question, we understand that x is greater than y (i.e. x > y)

Also, we'll assume that y ≠ 0, in other not to result in an undefined result.

So,

11x/11y

Divide the numerator and denominator by 11

(11x ÷ 11)/(11y ÷ 11)

The result of the division is:

(x)/(y)

x/y

Hence,

11x/11y = x/y for x > y and y ≠ 0

Answer:

40 baskets

Step-by-step explanation:

Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.

Answer:

40 Baskets

Step-by-step explanation:

4 x half an hour = 8 baskets an hour. 8 x 5 = 40

Answer:

0. 3

1. 1

2. -1

3. -3

4. -5

y- intercept is 3 then remember rise over run for the slope

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

Answer:

-13ºC

Step-by-step explanation:

The temperature has fallen, so you subtract.

Answer:

y = 69

Step-by-step explanation:

start with the distributive property:

5/9 * y and 5/9 * 3

and now you have: 5/9y + 15/9 = 40

and we have to isolate y so subtract 15/9 from both sides:

5/9y + 15/9 = 40

        - 15/9     -15/9

and now you have 5/9y = 345/9

and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y

and 345/9 divided by 5/9 = 345/5 and lets simplify....

y= 69

hope this helps luv

Answer:

There are 625 trees in the park.

Step-by-step explanation:

Assume that there are x trees in the park

∵ The number of trees in the park = x

∵ 27% of them are oaks

∵ 16% are pins

∵ 33% of them are banyans

∵ The remaining are willows

→ The percentage of the total number of trees is 100%

∴ The percent of the remaining = 100% - (27 + 16 + 33)%

∴ The percent of the remaining = 100% - 76%

∴ The percent of the remaining = 24%

∵ The number of willows trees = 150

∴ 24% of x = 150

∴ 24% × x = 150

→ Change the percent to a decimal by divide it by 100

∵ 24% = [tex]\frac{24}{100}[/tex] = 0.24

∴ 0.24 × x = 150

∴ 0.24x = 150

→ Divide both sides by 0.24

∴ x = 625

∴ There are 625 trees at the park.

Answer:

[tex]y = 14x + 3400[/tex]

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

[tex](x_1,y_1) = (150,5500)[/tex]

[tex](x_2,y_2) = (370,8580)[/tex]

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]

[tex]m = \frac{3080}{220}[/tex]

[tex]m = 14\\[/tex]

The equation is calculated using:

[tex]y-y_1 = m(x - x_1)[/tex]

Where

[tex]m = 14\\[/tex]

[tex](x_1,y_1) = (150,5500)[/tex]

So, we have:

[tex]y - 5500 = 14(x - 150)[/tex]

[tex]y - 5500 = 14x - 2100[/tex]

Make y the subject

[tex]y = 14x - 2100 + 5500[/tex]

[tex]y = 14x + 3400[/tex]

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

Answer:

x = 19.8

Step-by-step explanation:

5x - 9 = 90

5x = 90 + 9

5x = 99

x = 19.8

Hope this helped!

Answer:

19.8

Step-by-step explanation:

5x-9=90

Cancel the 9 on both sides, so you get:

5x=90+9

5x=99

x= 19.8