Which of the following are solutions to the equation below?
Check all that apply.
9x² - 6x + 1 = 7
☐ A. x = -√7 +1
3
B. X=
=
C. x=
☐ D. x=
= 2√2
2√2
3
☐ E. X=
-√7
3
☐ F. x =
<=
X= √²+1
3
+1
+1

Answers

Answer 1

Step-by-step explanation:

therefore A is the correct answer

Which Of The Following Are Solutions To The Equation Below?Check All That Apply.9x - 6x + 1 = 7 A. X

Related Questions

Problem 11-3 blair & rosen, inc. (b&r) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. a client who contacted b&r this past week has a maximum of $55,000 to invest. b&r's investment advisor decides to recommend a portfolio consisting of two investment funds: an internet fund and a blue chip fund. the internet fund has a projected annual return of 12%, while the blue chip fund has a projected annual return of 9%. the investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. b&r services include a risk rating for each investment alternative. the internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested. for example, if $10,000 is invested in each of the two investment funds, b&r's risk rating for the portfolio would be 5(10) + 5(10) = 100. finally, b&r developed a questionnaire to measure each client's risk tolerance. based on the responses, each client is classified as a conservative, moderate, or aggressive investor. suppose that the questionnaire results classified the current client as a moderate investor. b&r recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 250.
(a) formulate a linear programming model to find the best investment strategy for this client. let i = internet fund investment in thousands b = blue chip fund investment in thousands if required, round your answers to two decimal places. i + b s.t. i + b available investment funds i + b maximum investment in the internet fund i + b maximum risk for a moderate investor i, b 0
(b) build a spreadsheet model and solve the problem using solver. what is the recommended investment portfolio for this client? internet fund = $ blue chip fund = $ what is the annual return for the portfolio? $
(c) suppose that a second client with $55,000 to invest has been classified as an aggressive investor. b&r recommends that the maximum portfolio risk rating for an aggressive investor is 310. what is the recommended investment portfolio for this aggressive investor? internet fund = $ blue chip fund = $ annual return = $
(d) suppose that a third client with $55,000 to invest has been classified as a conservative investor. b&r recommends that the maximum portfolio risk rating for a conservative investor is 150. develop the recommended investment portfolio for the conservative investor. internet fund = $ blue chip fund = $ annual return = $

Answers

Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,

0.005 I +0.004B<=250.

Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.

We have to make a linear programming problem.

Let

I= Internet fund investment in thousands.

B=Blue chip fund  investment in thousands.

Objective function:

Max Z=0.12I+0.09B

subject to following constraints:

Investment amount: I+ B<=25000

Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250

I,B>=0.

Hence the objective function is Max Z=0.12 I+ 0.09 B.

Learn more about LPP at https://brainly.com/question/25828237

#SPJ4

(1+sinA+cosA)^2 = 2(1+sinA) (1+cosA)

Answers

Answer:

Step-by-step explanation:

[tex]L.H.S = 1^2+Sin^2A+Cos^2A+2SinA+2CosA+2SinACosA\\ \{(a+b+c)^2 = a^2+b^2+c^2+2ab+2bc+2ca\}\\ = 1 + (Sin^2A+Cos^2A) + 2SinA+2CosA+2SinACosA \\ \{Sin^2A+Cos^2A=1\}\\ = 1 + 1 + 2SinA+2CosA+2SinACosA \\ = 2(1 + SinA+CosA+SinACosA)\\ = 2(1^2 + (SinA+CosA).1+ SinACosA )\\ \{x^2+(a+b)x + ab = (x+a)(x+b)\} \quad here \quad x=1\\ = 2(1+SinA)(1+CosA).\\[/tex]

Billy thinks of a number that is not zero.
He multiples his number by -3
Is:
The answer is positive
The answer is negative
The answer could be
positive or negative

Answers

The answer could be negative or positive. We are not given specific as to whether or not the starting number is positive or negative so therefore it could be either.
Hope this is helpful :)
SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Billy thinks of a nonzero number. He multiplies it by 3. He gets...? 3 options given

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

This problem does not give us the information about the starting number (we can't read Billy's mind).

First, I'm going to assume that the number is positive

[tex]\bf{A\;positive\;number\;multiplied\;by\;-3;\;yields\;a\;negative}[/tex]

Next, I'll assume that Billy's number is a negative one.

[tex]\bf{The\;number\;is\;a\;positive\;one}[/tex].

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{=The\;answer\;could\;be\;either\;positive\;or\;negative.\;It\;depends\;on\;the\;sign}\\of\:the\:starting\:number.[/tex]

A report of the National Center for Health Statistics says that the heights of 20-year-old men have mean 176.8 centimeters (cm) and standard deviation 7.2 cm. There are 2.54 centimeters in an inch. What are the mean and standard deviation in inches

Answers

The mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.

Unit conversion is the process of converting a magnitude of the same nature from one unit to another using fixed constants.

The constant between centimeters and inches are as follows:

1 inch = 2.54 cm,

or, 1 cm = 1/2.54 inches = 0.3937 inches.

In the question, we are informed that in a report of the National Center for Health Statistics, the heights of 20-year-old men have a mean of 176.8 (cm) and a standard deviation of 7.2 cm.

We are asked to find the mean and standard deviation in inches.

To calculate the mean in inches:-

We know that 1 cm = 1/2.54 inches.

Therefore, the mean of 176.8 cm = 176.8/2.54 inches = 69.6063 inches.

To calculate the standard deviation in inches:-

We know that 1 cm = 1/2.54 inches.

Therefore, the standard deviation of 7.2 cm = 7.2/2.54 inches = 2.83465 inches.

Thus, the mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.

Learn more about unit conversions at

https://brainly.com/question/16851332

#SPJ4

Fawzia took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.60 plus $1.50 per mile. The total fare was $17.60, not including the tip. How
many miles was the taxi ride?

Answers

Answer:

9.375 miles

Step-by-step explanation:

1) Let's set up an equation.

2.60 + 1.50x = 17.60

1.50x = 17.60 - 2.60

1.60x = 15

x = 15/1.60

x = 9.375

Find the area of the segment (unshaded area) of Circle G with radius 4in. Round to the nearest tenth.

Answers

Angle is 90°

The sector is 1/4 th of circle

Area of sector

πr²/4π(4)²/44πin²

Triangle is right angled

Area

1/2(4)²16/28in²

Area of unshaded region

4π-84(π-2)4(3.14-2)4(1.14)4.56in²

Answer:

4.6 in²  (nearest tenth)

Step-by-step explanation:

To find the area of the unshaded region, subtract the area of ΔAGB from the area of sector AGB.

The measure of an arc is equal to its corresponding central angle measure.  Therefore, the central angle of sector AGB is 90°.

As the two sides of ΔAGB adjacent the central angle are the radii of the circle they are therefore equal in length ⇒ ∠GAB = ∠GBA.  

Therefore, ΔAGB is an isosceles triangle.

Area of triangle (using the Sine Rule):

[tex]\sf A=\dfrac{1}{2}ab \sin C[/tex]

(where a and b are the side lengths and C is the included angle)

Given:

a = b = radius = 4 inC = 90°

[tex]\implies \sf Area\:of\:triangle=\dfrac{1}{2}(4)(4)\sin 90^{\circ}=8\:in^2[/tex]

Area of a sector of a circle

[tex]\textsf{A}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Substituting the given angle and radius:

[tex]\implies \textsf{A}=\left(\dfrac{90^{\circ}}{360^{\circ}}\right) \pi (4)^2=4\pi\:\: \sf in^2[/tex]

Area of the unshaded region:

[tex]\begin{aligned}\textsf{Area of unshaded region} & =\textsf{Area of sector} - \textsf{Area of triangle}\\& = 4 \pi - 8\\& = 4.566370614...\\ & = 4.6\:\sf in^2\:\:(nearest\:tenth)\end{aligned}[/tex]

Explain how to use equivalent ratios to find
125% of 200.

Answers

Answer:

Step-by-step explanation So if you take that times 21 25 times two gives you X equals 250. So the answer is 2 50. And I use these equivalent fractions and then solve the proportion to come up with 2 50. Instead of doing a little aero trick you could have cross multiplied 200 times 1 25 and 100 times X.ion:

M angle IMJ= help me thank u :)

Answers

The value of the angle ∠IMJ using  angles of Intersecting Chords Theorem is; 62.5°

How to find the angle of intersecting chords?

From the given image, we see that;

mIJ = 40°

mLK = 85°

Now from angles of Intersecting Chords Theorem, we know that If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle. Thus;

∠IMJ = ¹/₂(mIJ + mLK)

∠IMJ = ¹/₂(40+ 85)

∠IMJ = 62.5°

Read more about Intersecting chords at; https://brainly.com/question/13950364

#SPJ1

Solve the quadratic equation 8x²-5x-4=0
Give your answer to 3 significant figures

Answers

The solution of the quadratic equation 8x² – 5x – 4 = 0 will be 1.085 and negative 0.460.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The quadratic equation is given below.

8x² – 5x – 4 = 0

Then we have

a = 8, b = -5, c = -4

Then the solutions will be

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}\\\\\\\rm x = \dfrac{-(-5)\pm \sqrt{(-5)^2 - 4 * 8 * (-4)}}{2 * 8 }\\\\\\x = \dfrac{5 \pm 12.37}{16}\\\\\\x = \dfrac{5- 12.37}{16}, \dfrac{5 +12.37}{16}[/tex]

On further solving, we have

x = 1.085, -0.460

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

What are some of the questions that you should ask when evaluating rankings or other metrics that claim to demonstrate CSR

Answers

Some of the questions that should be asked when evaluating rankings or other metrics that claim to demonstrate CSR are: option A, B, and C.

What is CSR?

CSR is acronym for corporate social responsibility and it can be defined as an organization's (company's) obligation to act in a manner that benefits and adds significant value to the society and the people, usually as it conduct its business operations.

Some of the questions that should be asked when evaluating rankings or other metrics that claim to demonstrate CSR include the following:

"What was the methodology used?""Who contributed to the study and how were they qualified to do so?""Do the findings seem to match what your common sense tells you?"

Read more on CSR here: https://brainly.com/question/1373962

#SPJ1

Complete Question:

What are some of the questions that you should ask when evaluating rankings or other metrics that claim to demonstrate CSR? (check all that apply)

A. What was the methodology used?

B. Who contributed to the study and how were they qualified to do so?

C. Do the findings seem to match what your common sense tells you?

D. Was the list published in print or online?

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere.

A sphere with height h and radius r. A cylinder with height h and radius r.

Her work is shown below.

V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed.

What is Amie’s error?
Amie should have multiplied 54 by Two-thirds.
Amie should have multiplied 54 by Four-thirds pi.
Amie should have multiplied 54 by Four-thirds.
Amie should have multiplied 54 by Two-thirds pi.

Answers

The error in Amie's evaluation as described in the task content is; Amie should have multiplied 54 by Two-thirds.

What is Amie's error in the evaluation?

Since it follows that the she needs the volume of the sphere in which case the radius of the sphere is half the height.

Hence we have;

V(sphere) = (4/3) πr² × h/2

V = (2/3) × πr²h

Where πr²h = Volume of the cylinder = 54cm

Hence, Amie should have multiplied 54 by Two-thirds.

Read more on volume of sphere;

https://brainly.com/question/22807400

#SPJ1

A carnival tent is set up using a 32-foot pole as the center. The Support wires each have an angle of elevation of 38 degrees from the ground to the top of the pole. Approximately how many feet of wire is needed for one support for the tent?

Answers

The length of wire is needed to form the tent frame for
the fabric tent is: From the choices: D. 312 feet Let: X
be the length of each wire Using ..

evaluate x+2x+1/x^2-25

Answers

The evaluation of the algebraic fraction x+2x+1/x^2-25 is[tex]\mathbf{\implies -\dfrac{3}{5(x+5)} +\dfrac{18}{5(x-5)}}[/tex]

What is the division of algebraic expression?

The division of an algebraic expression can be carried out by using the long division method or expansion of the.

Given that:

[tex]\mathbf{\dfrac{x+2x+21}{x^2-25}}[/tex]

where:

x^2 - 25 is the divisor.

By expanding the denominator, we have:

[tex]\mathbf{\dfrac{x+2x+21}{(x+5)(x-5)}}[/tex]

[tex]\mathbf{\dfrac{3x+21}{(x+5)(x-5)}}[/tex]

Creating a partial fraction from the denominator, we have:

[tex]\mathbf{\dfrac{3x+21}{(x+5)(x-5)} = \dfrac{a_o}{x+5} +\dfrac{a_1}{x-5}}[/tex]

Multiply the equation by the denominator, and we have:

[tex]\mathbf{\dfrac{(3x+21)(x+5)+(x-5)}{(x+5)(x-5)} = \dfrac{a_o(x+5)(x-5)}{x+5} +\dfrac{a_1(x+5)(x-5)}{x-5}}[/tex]

Simplifying, we have:

3x + 21 = a₀(x-5)+a₁(x+5)

Solve for the unknown parameter by plugging the real roots of the denominator: -5, 5

[tex]\mathbf{a_o =\dfrac{-3}{5}}[/tex]

[tex]\mathbf{a_1 =\dfrac{18}{5}}[/tex]

Replacing the solutions into the partial fractions parameters to obtain the final result, we have:

[tex]\mathbf{\dfrac{-(\dfrac{3}{5})}{x+5} +\dfrac{\dfrac{18}{5}}{x-5}}[/tex]

[tex]\mathbf{\implies -\dfrac{3}{5(x+5)} +\dfrac{18}{5(x-5)}}[/tex]

Learn more about the division of algebraic fractions here:

https://brainly.com/question/24705296

#SPJ1

Help me pls it is geomerty traingle proof
and here the question
Given: NQ¯¯¯¯¯¯¯¯ is the bisector of ∠MNP and ∠NMQ≅∠NPQ

Prove: △MNQ≅△PNQ

Answers

△MNQ ≅ △PNQ by SAS congruence theorem.

What is the SAS Congruence Theorem?

If two triangles are congruent by the SAS congruence theorem, then they have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.

∠MNQ ≅ ∠PNQ [congruent angles formed by angle bisector]

Therefore, opposite sides to the angles, MQ and PQ would also be congruent.

Thus, MQ ≅ PQ

NQ ≅ NQ [reflexive property]

This means that both triangles have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.

Thus, △MNQ ≅ △PNQ by SAS congruence theorem.

Learn more about the SAS congruence theorem on:

https://brainly.com/question/2102943

#SPJ1

60 more points i believe

Answers

C

f(x) does have an inverse function since it does pass the horizontal line test

Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below

Answers

The value should be placed in the second column for the range 11 - 15 will be 4. Then the correct option is C.

What is a frequency table?

The data is given below.

3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.

Arrange the data in ascending order, then we have

2, 3, 3, 6, 12, 12, 13, 15, 17, 17, 18, 19, 20, 21, 25.

Then the frequency table will be

Range         Number of values

 1 - 5                      3

6 - 10                     1

11 - 15                    4

16 - 20                   5

21 - 25                   2

The value should be placed in the second column for the range 11 - 15 will be 4.

Then the correct option is C.

The complete question is attached below.

More about the frequency table link is given below.

https://brainly.com/question/12576014

#SPJ1

Which graph represents y= ^3 square root of x +2?

Answers

The graph of the function can be seen in the image at the end.

Which graph represents the function?

I assume that the function we have here is:

[tex]y = x^3 + \sqrt{x + 2}[/tex]

This is a kinda cubic function. Notice that because we have a square root, then we have a restricted domain.

The argument of the square root can't be smaller than zero, then the minimum value of x is:

x + 2 = 0

x = -2

Then the domain is:

x ≥ -2

With that in mind, the graph of the function is the one below.

If you want to learn more about square roots:

https://brainly.com/question/9423572

#SPJ1

Please help with these 3 questions! Will give brainliest and 25 points.

Answers

a. I and II only true statement.

b . ∠3  = 84°

c . m∠KJM = 138° and m∠KLM  = 59°

Properties of an Isosceles trapeziumOnly one pair of sides are parallelThe diagonals are equal in measure.The opposite angles are supplementaryThe base angles are equal in measure.

Therefore, i and ii are true for an isosceles trapezium.

∠2 ≅ ∠3

∠1 ≅ 96°

Therefore,

∠3  = 180 - 96

∠3  = 84°

m∠KJM = 180 - x - 14

5x - 2 = 180 - x - 14

5x - 2 = 180 - x  - 14

5x + x = 180 - 14 + 2

6x = 168

x = 168 /6

x = 28

m∠KJM = 5(28) - 2 = 138°

m∠KLM  = 180 - 10y + 29

3y + 14 = 180 - 10y + 29

3y + 10y = 180 + 29 - 14

13y = 195

y = 195 / 13

y = 15

m∠KLM  = 3(15) + 14

m∠KLM  = 45 + 14

m∠KLM  = 59°

learn more on trapezium here: https://brainly.com/question/22607187

#SPJ1

19. Which of the following expressions can be used to calculate the area of a square with side length 5 inches?
O 5.5
05.4
O 5+5
O5+4

Answers

Answer:

5 × 5

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length ) , then

A = 5² = 5 × 5 = 25 in²

Which inequality represents Three times a number is greater than 15. a. 3x > 15 b. 3x = 15 c. 3x + 15 d.15 + 3x

Answers

Answer:

a.

Step-by-step explanation:

> is a symbol of inequality representing greater than

The function fis given by this table of values.
-1
96
0
48
X
f(x)
Use this table to complete the statements.
1
24
2
12
3
6
The parent function of the function represented in the table is
If function fis vertically compressed by a factor of 4, the
A point in the table for the transformed function is
-values will be

Answers

Answer:

no man you should reconsider the question again

try typing again i guess its wrong

Answer: exponential, f(x), divided by 4, 1,6

Step-by-step explanation:

If a card is drawn from a deck and a coin is tossed, what is the probability the card will be a heart and the coin will be tails?

Answers

No idea

Sorryyyyy

I dont know

The graph of a function f(x) passes through the following points:
(0,2), (1, 0), (-1,-4)
Which of the following could be f(x)?
O f(x) = 2x - 2
O f(x) = 2x² - 2
○ f(x) = - 2x - 2
○ f(x) = 2√x-2

Answers

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0  ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Find the measure of x.
X
56.76°
56.76
x = [?]
Round to the nearest hundredth.

Answers

Since 56.76 degrees is beta, 56.76 is adjacent and x is hypothesis.
Adjacent over hypothesis is cosine. So,
Cos(56.76) = 56.76/x
X = 56.76/cos(56.76)
X = 103.55

What is the value of x in the figure at the right?

Answers

Answer:

b 12

Step-by-step explanation:

62=5x+2(opposite angle are equal)

5x=60

x=12

a(x + 1) - b(x + 1) - x - 1

Answers

Answer:

Step-by-step explanation:

Solution

I'm assuming you want this simplified. If not leave a note.

a(x + 1) - b(x + 1) - x - 1                     remove the brackets

ax + a - bx - b - x - 1                        gather like terms

ax - bx - x + a - b - 1

x(a - b - 1)  + (a - b - 1)                      Use the distributive property to simplify

Answer

(x + 1)(a - b - 1)

The common factor is (a - b - 1). That can be pulled out on either side of the isolated + sign

Gabrielle sees a 30% discount on potted plants at the nursery. She chooses 3 potted plants whose regular prices are $3.59, $4.25, and $3.99. What is the total she will pay after the discount? Round your answer to the nearest cent and do not include sales tax.

Answers

Using proportions, it is found that she will pay $8.28 in total after the discount.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Before tax, the total price is given by:

P = 3.59 + 4.25 + 3.99 = $11.83.

She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:

P = 0.7 x 11.83 = $8.28.

She will pay $8.28 in total after the discount.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Need help now.
Someone please.

Answers

Answer:

$1,075

Step-by-step explanation:

Simple Intereat Formula:

A = P(1+rt)

where A is the final amount,

P is the principal(original amount invested)

r = annual interest rate

t = time in years

Given P = 1000

r = 2.5/100

t = 3 (Beginning of 4th year means the 4th year is not counted)

A = 1000(1+(0.025)(3))

= 1000(1.075)

=$1,075

You have to fill a can of gasoline with a capacity of 12 liters.

The gas pump indicates that gasoline is selling for $1.15/litre.



Which equation allows you to calculate the cost of gasoline C according to the quantity of gasoline in liters n ?

Please choose an answer.

C = 1,15n + 12


C= -1,15n + 12


C = 0,12n - 1,15


C = 1,15n

Answers

Answer:

C=0,12N-1,15

Step-by-step explanation:

PROBLABILITY!!!

(I added the picture needed)
1.Create a sample space and find the product of each combination. What is the probability that a person wins the game? Express your answer as a fraction in lowest terms and as a percent rounded to the nearest tenth.
(answer to this one is 9/28 and 32.1%)

2. You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher, and she suggests that you change the winning number so that a participant will win only 25% of the time. What number will that be? Support your answer.

3. Participants achieving a winning score of 36 or higher in four consecutive attempts will receive a large prize! What is the probability of this occurring?


4. After changing the game rules, participants and the crowd are disappointed when the first five games yield scores of 12, 18, 30, 28, and 24. What statement can you recommend the teacher posts to reassure everyone that the game is fair?

Answers

Based on the game rules of randomly picking a card and multiplying it by the roll from a number cube, the following are true:

Probability is 3/8 or 37.5%.To win 25% of the time, player needs to get 32 or higher. Probability of a score of 36 or higher in 4 attempts is 1/1,1296.Teacher should remind everyone that all numbers except only 24 and 30 can appear equally.

How can the data be represented?

There are 6 sides to dice and 4 cards. The sample space is:

Dice             Card            Product        

1                 5                         5

1                 6                         6

1                 7                         7

1                 8                         8

2                 5                         10

2                 6                         12

2                 7                         14

2                 8                         16  

3                 5                         15

3                 6                         18

3                 7                         21

3                 8                         24

4                 5                         20

4                 6                         24

4                 7                         28

4                 8                         32

5                 5                         25

5                 6                         30

5                  7                         35

5                  8                         40

6                 5                         30                        

6                 6                         36

6                 7                         42

6                 8                         48

Frequency table

Product                     Frequency

5                                      1

6                                      1

7                                      1

8                                      1

10                                      1

12                                      1

14                                      1

16                                      1

15                                      1

18                                      1

21                                      1

24                                      2

20                                      1

28                                      1

30                                      2

32                                      1

25                                      1

35                                      1

40                                      1

36                                      1

42                                      1

48                                      1

Total                                24

The frequency table shows that to get 28 or more, a person will have a relative frequency of:

= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1

= 9

Probability is:

= 9 / 24

= 3/8

= 37.5%

What product does a player need to win 25% of the time?

The number of products required to win 25% of the time is:

= 25% x 24

= 6

To find the winning number, count down from the highest product 6 times to get 32.

How can the larger prize be won?

The probability of getting 36 or higher is:

= ∑(Probabability of picking 36 and above numbers)

= 1 / 24 + 1/24 + 1/24 + 1/24

= 1 / 6

The probability of repeating this 4 times is:

= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6

= 1 / 1,296

= 0.0007716

Find out more on frequency tables at https://brainly.com/question/2002190.

#SPJ1

Other Questions
Question 1 (1 point) Saved Carbohydrates are always a source of energy for exercise. Question 1 options: supported by the results does not match the results Question 2 (1 point) Saved The amount of energy produced from fats and lipids increases with the intensity of exercise. Question 2 options: supported by the results does not match the results Question 3 (1 point) The amount of energy produced from carbohydrates increases with the intensity of exercise. Question 3 options: supported by the results does not match the results Question 4 (1 point) When exercising, fats (and lipids) are used as a source of energy before carbohydrates. Question 4 options: supported by the results does not match the results Question 5 (1 point) Fats produce more energy for exercise because they have more carbons and hydrogens in each molecule. Question 5 options: supported by the results does not match the results Question 6 (1 point) The mass of fat and lipid used to produce energy at 65 % intensity of exercise is about the same as the mass of carbohydrate used. Question 6 options: supported by the results does not match the results Question 7 (1 point) The amount of energy produced increases with the intensity of exercise. Question 7 options: supported by the results does not match the results Question 8 (1 point) Most exercise in daily life is low intensity exercise. Question 8 options: supported by the results does not match the results Identify the causes and effects in this passage. Check all that apply. How were the dunes form in Rub al Khali, Arab for the Empty Quarter, of the Arabian Peninsula? Does the manager of a licensed establishment need to obtain an rbs certification?. What is the maximum sentence for a misdemeanor crime, such as selling alcohol to a minor?. Education and healthcare are two examples of _________ in international business. What is the era towards the end of the nineteenth century, characterized by great transformation, commonly called today?. An Inspect and Adapt (I&A) event is occurring and a program is trying to address a long-existing problem (WIP)?"unreliable Program Increment (PI) commitments. One of the participants suggests that they are working on too many things at one time. What aspect Of the program causes uncontrollable amounts of work in processTeams do not do a good job of task.switchingStories are too smallItems in the program Backlog are large chunks Of work at different layers Of the System instead Of true FeaturesAll program teams are cross-functional so every team creates work in multiple areas at the same time What muscular tubes, not supported by cartilage, help regulate airflow into and out of the lungs?A. tracheaB. diaphragmC. alevoliD. bronchioles Find the sum of the first five terms of the geometric sequence: - 1, - 6, - 36 Neutrophils with defective lysosomes are unable to Group of answer choices undergo chemotaxis. migrate. produce toxic oxygen products. attach to microorganisms and other foreign material. engulf microorganisms and other foreign material. The Smiths have a pool that is 20 feet by 35 feet. A 5 foot wide deck completely surrounds the pool. The average depth of the pool is 6 feet. How much surface area is covered by the proposed pool deck? Skill #1 self and social AwarenessSkill description: What does the self and social Awareness skill look like in your career/industry? Johnny, a child, says that cleaning up his toys is good because he will get a treat. What level of moral development is this n Act V, scene iii of Romeo and Juliet, how does Romeo react when he hears someone in Juliets tomb?He tries to discover the intruders identity.He attempts to greet the intruder.He kills the intruder immediately.He begs the intruder to leave. The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information.City Police Number of Crimes City Police Number of CrimesOxford 12 17 Holgate 15 6 Starksville 15 13 Carey 8 18 Danville 20 6 Whistler 6 21 Athens 22 7 Woodville 17 7 Click here for the Excel Data Filea. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.) The process from a disturbance destroying an area through the climax of ecological succession is called ______. Find sin(c)1.080.380.920.42 Which bond is the most polar?Group of answer choicesa)between C and Ob)between Br and Brc)between C and Sd)between C and Is 38 students are going on a field trip. parents will drive. each car can hold 4 students along with the driver. how many cars will be needed?