Decimal 23.5 x 100 =

Answer:[tex]18\sqrt{91[/tex]

Step-by-step explanation:

Answer:

a. The scatter diagram created with he given data is attached

b. The scatter diagram indicates that the Number of Defective Parts found increases with Line Speed

c. The regression model is Y = 27.5 - 0.3·X

When the line speed is 25 feet per minute, the number of expected defective parts is 20 defective parts

Step-by-step explanation:

The give data is presented as follows'

Line Speed;             [tex]{}[/tex]      20,   20,    30,    30,    40,    40,    50,     50

Number of Defective; [tex]{}[/tex]  23,    21,     19,     16,     15,     17,     14,       11  

Parts  Found

a. Please find attached the scatter diagram created with Microsoft Excel

b. From the scatter diagram there is an apparent correlation between increase line speed and the number of defective parts found

c. The equation for linear regression by the least squares method is presented as follows;

Y = a + b·X

Where;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

From Microsoft Excel, we have;

∑X = 280, ∑Y = 136, ∑X² = 10,800, ∑XY = 4,460, (∑X)² = 78,400, N = 8

Plugging in the values, we get;

b = (8×4,460 - 280×136)/(8×10,800 - 78,400) = -0.3

a = (136 - (-0.3)×280)/8 = 27.5

Therefore, we have the linear regression as follows;

Y = 27.5 - 0.3·X

Therefore, when the line speed is 25 feet per minute, we have;

Y = 27.5 - 0.3 × 25 = 20

The number of defective parts expected to be found when the line speed is 25 feet per minute, Y = 20 defective parts.

Answer:

All parts are solved in the attached picture

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

Answer:

C.34

Step-by-step explanation:

Answer:

12,000

Step-by-step explanation:

one ton = 2000 pounds then multiply that by 6 and you have your answer

Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15

15

Answer:

The graph has a y- intercept at(0,1) and is decreasing over the interval -infinity <x< infinity

Step-by-step explanation:

Trust me

To graph the function f(x) = -3x + 2, we can plot some points and then connect them to form a straight line.

Here are a few points you can use to plot the graph:

1. When x = 0, f(0) = -3(0) + 2 = 2. So, the point (0, 2) is on the graph.

2. When x = 1, f(1) = -3(1) + 2 = -1. So, the point (1, -1) is on the graph.

3. When x = -1, f(-1) = -3(-1) + 2 = 5. So, the point (-1, 5) is on the graph.

Plot these points on a coordinate plane and then draw a straight line passing through them. The graph should be a straight line sloping downwards from left to right.

Key features of the graph:

1. Slope: The slope of the line is -3, which means it goes down 3 units for every 1 unit it moves to the right.

2. Y-intercept: The y-intercept is the point where the graph crosses the y-axis. In this case, the y-intercept is 2, as the graph passes through the point (0, 2).

3. X-intercept: The x-intercept is the point where the graph crosses the x-axis. To find the x-intercept, set f(x) = 0 and solve for x:

0 = -3x + 2

3x = 2

x = 2/3. So, the x-intercept is approximately (2/3, 0).

4. Linearity: The graph is a straight line, indicating that the function is a linear function.

5. Decreasing: The graph decreases as you move from left to right, indicating that the function is a decreasing function.

To know more about graph:

https://brainly.com/question/30466256

#SPJ2

Answer:

[tex]m=\frac{2}{5}[/tex]

Step-by-step explanation:

1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.

[tex]\frac{2-0}{5-0}[/tex]

[tex]\frac{2}{5}[/tex]

So, your slope would be [tex]m=\frac{2}{5}[/tex]

Hope this helped! C:

Answer :

How do You find the right line of reflection? 

Step-by-step explanation:

The concept is the line y = x. (y, x). The point is on the line y = -x (-y, -x). Notice that each point of a reflected image is the same distance from the reflection line as the original figure's corresponding point. Between the original figure and its image, the line of reflection will be directly in the centre.

Answer:

Dont think eh multiplied both sides by 4. That would be the first step.

Step-by-step explanation:

1/4(x+12)=2

multiply both sides by 4

x+12=8

move the 8 to the right side of the equation and change its sign

x=8-12

calculate

x= -4

Answer:

He didn't multiply 1/4 between both terms in the brackets.

Step-by-step explanation:

1/4(x+12)=2

1/4x+3=2

1/4x= -1

x= -4

Hope that makes sense!

Answer:

35/26 = 1.346153846

Step-by-step explanation:

Answer:

20/100 or 20%

Step-by-step explanation:

Let's see how many candies are in total.

5 orange + 6 blue + 3 green + 4 red + 7 yellow = 25 in total

So there are 5/25 orange candies.

5/25 x 4 = 20/100 (I multiplied by 4 to get the denominator 100)

If you need it in percent it is 20%.

I hope this is helpful for you!

Answer: 165 different combinations.

Step-by-step explanation:

Here we first need to identify the "selections", and then the number of options for each selection.

Here we have two selections, shorts, and sleeveless blouses.

For shorts, we have 15 options.

For sleeveless blouses, we have 11 options.

The total number of combinations will be equal to the product between the numbers of options for each selection, then the total number of combinations is:

C = 11*15 = 165

Answer:

the equation can also be 5+4i

Step-by-step explanation:

if 5 - 4i is a root to an equation, what else has to be a root

30

Factors of 30 are

3,5, and 6

Answer:

3. (x-6)

Step-by-step explanation:

x^2-5x-6

--

Find factors of -6 that could be added that equals to -5

Factors=

-6 and 1

x^2-5x-6 factored is (x-6)(x+1)

so the answer would be (3) (x-6)

Answer:

The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]

Answer: the answer is B

Step-by-step explanation:

Answer:

He must get at least a 90 in order to recieve an 85 percent or higher

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️Reference angle = 50°

Opposite side length = y

Hypotenuse = 8 cm

Adjacent = x

Thus, applying CAH we can find x as shown below:

Cos 50 = adj/hyp

Cos 50 = x/8

8 × cos 50 = x

x = 5.1 (to 1 decimal point)

Thus, applying SOH, we can find y as shown below:

Sin 50 = opp/hyp

Sin 50 = y/8

8 × Sin 50 = y

y = 6.1 (to 1 decimal point)

Answer: 119

Step-by-step explanation:

just did on iready

yes, yes yes yes yes yes yes yes

Answer:

400

Step-by-step explanation:

u = 50 km/hr

v = 100 km/hr

d = 300 km

b = 200 km/hr

= b*d/(u+v)  

=  200* 300/(50+100)  

= 400

Answer:

[tex]32 \times 3.14 \times 2 = 200.96[/tex]

[tex] \binom{22}{7 } \times 49 \times 2 = 308[/tex]

Step-by-step explanation:

it is so simple

easy peasy lemon squeaky

Answer:

5) 106°

6)

7) 46°

8) 102°

Step-by-step explanation:

Find the measure of the angle indicated in bold.

We are to find x

5) This follows the rule of Alternate Interior angles

= 12x + 10 = 13x + 2

Collect like terms

= 10 - 2 = 13x - 12x

= 8 = x

x = 8

The angle indicated in bold = (13x + 2)°

= 13 × 8 + 2

= 104 + 2

= 106°

6) This follows the rules of consecutive interior angles

x - 70 + 130 + x = 180

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

7)This follows the rule of Alternate Interior angles

22x + 2 = 21x + 6

Collect like terms

22x - 21x = 6 - 2

x = 4

The angle in bold is (22x + 2)°

Hence,

(22 × 2 + 2)°

44 + 2 = 46°

The measure of the angle is 46°

8) This follows the rule of corresponding angles

13x + 11 = 14x + 4

Collect like terms

11 - 4 = 14x - 13x

7 = x

x = 7

The angle in bold is (14x + 4) °

(14 × 7 + 4)°

=( 98 + 4)°

= 102°

Answer:

32

Step-by-step explanation:

Same factors meaning it is of the form

(x + a)(x + a) = (x + a)^2 = x^2 + 2ax + a^2

Take sqrt(256) = 16

a = 16, c = 2a = 32

Answer:

32

Step-by-step explanation:

Answer:

$1230

Step-by-step explanation:

Adult tickets cost = 15 * $14 = $210

The children tickets cost = 85 * $12 = $1020

Therefore, they spent $1020 + $210 = $1230