An English teacher needs to pick 13 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 6 novels, 6 plays, 7 poetry books, and 5 nonfiction books. Step 1 of 2 : If he wants to include no more than 4 nonfiction books, how many different reading schedules are possible?

Answer:

Not a function

Step-by-step explanation:

There are two outputs (4 and 6) for one input x. If it were function, y(1) can only be one thing  

Step-by-step explanation:

20

hope it is helpful to you

Answer:

19.28

Step-by-step explanation:

91.48 minus 72.2

Answer:

answer is B I hope it helps you

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:

Any line with a slope of 3/4, the y intercept could be anything

Step-by-step explanation:

A perpendicular line's equation is the opposite reciprocal

For example if the slope is -3 the perpendicular line's slope would be 1/3

An example of an answer you can put for your problem is :

y=3/4x+1

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:

theres no statements below

Step-by-step explanation:

I can tell you how many ounces of lemon juice (24) and cups of water (12) but you do not have statements so cant help with that, sorry.

Answer:

4d−3

Step-by-step explanation:

5d−7−d+4

Combine 5d and −d to get 4d.

4d−7+4

Add −7 and 4 to get −3.

4d−3

The simplified expression is 4d - 3.

Given is an expression 5d - 7 - d + 4 we need to simplify it,

We know that,

An expression is a combination of numbers, variables, and operations that can be evaluated to produce a value.

It can represent a mathematical relationship or a computation.

To simplify the expression 5d - 7 - d + 4, we can combine like terms.

First, let's group the terms with the variable "d" together:

(5d - d) - 7 + 4

Simplifying within the parentheses:

4d - 7 + 4

Combining the constants:

4d - 3

Therefore, the simplified expression is 4d - 3.

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Answer:8/15

Step-by-step explanation:

1,3,5,7,9,11,13,15

Numbers from 1-15. The sample space:

[tex]\implies[/tex] S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

[tex]\implies[/tex] n(S) = 15

Let A be the event that number selected randomly from the numbers 1 to 15.

Event A:

Odd numbers from 1-15. The sample space:

[tex]\implies[/tex] A = {1, 3, 5, 7, 9, 11, 13, 15}

[tex]\implies[/tex] n(A) = 8

Now, as we know that;

Placing values,

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:

ArcTan (.34) = 18.778 degrees

Multiply 18.778 by pi/180 = .33

Step-by-step explanation:

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:

[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:

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:

y=1/4x + 1.75

Step-by-step explanation:

1-2/2--2 = 1/4

2=1/4+b

b=1.75

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:

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:

$1230

Step-by-step explanation:

Adult tickets cost = 15 * $14 = $210

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

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

Answer: -1

Step-by-step explanation: The axis of symmetry of a parabola is a line where the parabola is symmetrical. So it basically 'cuts' the parabola in half. In this case, the axis of symmetry would be -1.

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.

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Answer:

31.8 that is it I just need to fill a 20 character long answer

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

Step-by-step explanation:

Answer:

1 is hard

Step-by-step explanation:

Answer:

Awnser is C

Vertex (1, -2), Axis of symmetry is x = 1