4. A drawer contains 21 black socks and 9 white socks. A number generator simulates randomly selecting 10 socks from the drawer. The number generator is used 10 times and the number of black socks in each trial is shown in the plot.

Does this number generator appear to be fair?

WHY OR WHY NOT?


I know the answer is yes it appears to be fair, but please answer WHY. Thank you :)

Step-by-step explanation:

The solutions of the related quadratic equation are -1.5 and -3

To summarize, the true statements are:

(b) The function has two roots.

(d) The related quadratic equation has two solutions.

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To determine which statements about the quadratic function that passes through (1,0) and (3.5,0) are true, we need to use the fact that the roots (or x-intercepts) of a quadratic function can be found by solving the related quadratic equation, which is obtained by setting the function equal to zero.

Let's start with a statement (a). Plugging in the two points given into the equation y = 2x^2 - 9x + 7, we get:

At x = 1, y = 2(1)^2 - 9(1) + 7 = 0

At x = 3.5, y = 2(3.5)^2 - 9(3.5) + 7 = 0

This confirms that points (1,0) and (3.5,0) are indeed on the graph of the function, but it doesn't tell us whether this is the only function that passes through those points. So statement (a) alone is not sufficient to determine the true statements.

Next, let's consider statement (b). Since the graph passes through (1,0) and (3.5,0), we know that it must cross the x-axis at those two points. Therefore, the function has two roots or x-intercepts. Statement (b) is true.

Moving on to statement (c), we need to find the solutions of the related quadratic equation. Setting y = 2x² - 9x + 7 equal to zero, we get:

2x² - 9x + 7 = 0

Using the quadratic formula, we find that the solutions are:

x = (9 ± √(9² - 4(2)(7))) / (2(2)) ≈ 2.5 and ≈ 1.75

Therefore, statement (c) is false.

Finally, statement (d) asks whether the related quadratic equation has two solutions. We just found that it has two solutions, so statements (b) and (d) are true.

Learn more about Quadratic equations here:

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Answer:

5 3/4 hours  remaining to meet his goal  

Step-by-step explanation:

miles required  to meet his goal = 13 1/2 miles

Miles ran on monday =3 1/2

Miles ran on Tuesday =4 1/4

Miles remaining to reach his goal =Total miles required - Miles ran on Monday and Tuesday

13 1/2 - ( 31/2 + 4 1/4 )

  131/2 -   7 3/4

change to improper fraction for easy solving

27/2 -31/4

54-31 /4=23/4 =5 3/4 hours

Answer:

Step-by-step explanation:

5x =2x+9(corresponding angles are always equal)

5x-2x=9

3x=9

x=9/3

x=3

Answer:

-1      0      1      2      3      4      5

5      0     -3     -4     -3     0      5

Curve (B) best matches the given graph.

Step-by-step explanation:

When given the following function,

[tex]y=x^2-4x[/tex]

The problem asks one to evaluate the function for the given list of values, substitute in each of the values and solve to find the value of (y),

(-1)

[tex]y=x^2-4x\\y=(-1)^2-4(-1)\\y=1+4\\y=5[/tex]

(1)

[tex]y=x^2-4x\\=(1)^2-4(1)\\=1-4\\=-3[/tex]

(2)

[tex]y=x^2-4x\\=(2)^2-4(2)\\=4-8\\=-4[/tex]

(4)

[tex]y=x^2-4x\\=(4)^2-4(4)\\=16-16\\=0[/tex]

Answer:

Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!

Step-by-step explanation:

if this is wrogn sorry

Answer:

[tex]\displaystyle x \approx 53.1^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

[tex]\frac{5}{8} :\frac{y}{24}[/tex]

Cross multiply.

y × 8 = 24 × 5

Simplify.

8y = 120

Divide each side by 8.

8y ÷ 8 = 120 ÷ 8

Simplify.

y = 15

[tex]\frac{6}{8} :\frac{y}{24}[/tex]

You can simplify 6/8.

[tex]\frac{3}{4} :\frac{y}{24}[/tex]

Cross multiply.

y × 4 = 3 · 24

Simplify.

4y = 72

Divide each side by 4.

4y ÷ 4 = 72 ÷ 4

Simplify.

y = 18

Answer:

point S is (-2, 0) if that's what the question is asking for

Step-by-step explanation:

For a graphed line to be a function it needs to pass the vertical line test.

If a vertical line goes through the graphed line in more than one x axis then it is not a function.

 Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point  (-1,0)

Answer: (-1,0)

Answer:

12

Step-by-step explanation:

what is the value of x? you ask.

use the pythogoras Theorem =

C^2 = a^2 + b^2

169= 25 + x^2

144 = x^2

√144 = the answer is 12

Answer:

Exact Form:

27

7

Decimal Form:

3.

¯¯¯¯¯¯¯¯¯¯¯¯

857142

Mixed Number Form:

3 6/7

Answer:

9

Step-by-step explanation:

6 + 21 ÷ 7

6 + 3

9

Answer:

here you go!!

Speech club: y = 120x+-150

Science club: y = 90 x

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

• The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day.  [ 12*10 -150]

• The science club is offering individual tutoring sessions for $15 per session.[6*15]

The club has no start-up costs, and plans to provide 6 sessions per day.

Speech club: y = 120x+-150

Science club: y = 90 x

to learn more about algebraic expression refer to:

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Answer:

140 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

  = pi (10)^2 14

   = pi (100) 14

   = 140 pi cm^3

Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

Answer:

4

Step-by-step explanation:

2 8 12 20

2 4 6 10

2 3 5

:2*2=4

Answer:

x = 2

UV = 9 ft

VW = 6 ft

WU = 5 ft

Step-by-step explanation:

The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:

P = UV + VW + WU

Now, we can substitute the values which we have:

20 = 4x + 1 + 8 - x + 2x + 1

We can combine like terms...

20 = 5x + 10

5x = 10

x = 2

Since UV is represented by 4x + 1, we can substitute in x to find its length.

UV = 4x + 1

UV = 4(2) + 1

UV = 6 + 1

UV = 9

We can do the same for the other two sides:

VW = 8 - x

VW = 8 - 2

VW = 6

WU = 2x + 1

WU = 2(2) + 1

WU = 4 + 1

WU = 5

Answer:

The second dealer is better.

Step-by-step explanation:

3.8/2=   2.7/1.5=

3.8/2=1.9 (first vendor)   2.7/1.5=1.8 (second vendor) 1.8 is less than 1.9.

Answer:

12z if thats wrong lmk

Step-by-step explanation:

Answer:

the answe is 2^3

Answer:

27

Step-by-step explanation:

First you need to find x.

It is shown that DE=EF, so we can use this.

5x-3=3x+7

5x=3x+10

2x=10

x=5

Then, you plug in the value of the variable and solve.

6(5)-3

30-3

27 = DF

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

[tex] \huge \: Answer࿐[/tex]

The values are :

As the it's a sqaure pyramid, thus the formula we will use will be:

= 2 × b × s + b²

= 2 × 2 × 6 + 2²

= 4 × 6 + 4

= 24 + 4

= 28 cm²

And it's done..!

Answer:

6√3

Step-by-step explanation:

√108= √(36×3)

√36×√6= 6×√3

=6√3

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

Answer:

one point zero three two four or one and three hundred twenty-four ten-thousandths

Step-by-step explanation: