(-4x⁴+6x²+3)-(5x²-3) answer should be a standard polynomial ​

Answers

Answer 1

Answer: -4x⁴ + x² + 6

Step-by-step explanation:

Remove parentheses:   (-a) = -a

-4x⁴ + 6x²+3 - (5x²-3)

-4x⁴ + 6x² + 3 - 5x² + 3

Simplify -4x⁴+ 6x² + 3 - 5x² + 3:   -4x⁴ + x² + 6

-4x⁴ + x² + 6


Related Questions

Look at the cahrt below The number of satisfied customers is given below each month on the x axis select an appropriate scale for the y axis of the graph

Answers

Answer:

wydjae  is męi ze tak

Step-by-step explanation:

The appropriate scale for the y-axis include:

A = 2000

B = 4000

C = 6000

D = 8000

E = 10000

F = 12000

G = 14000

In Mathematics and Euclidean Geometry, a bar chart is a type of graph that is used for the graphical representation of a data set, especially through the use of rectangular bars and vertical columns.

Since the set of axes starts from the origin (0, 0), an appropriate scale for the y-axis (number of satisfied customers) of the graph can be calculated as follows;

1 unit = 250 customers

4 units = (4 × 250) = 2,000 customers.

In this context, the appropriate scale for the y-axis should be completed as follows:

A = 2000

B = 4000

C = 6000

D = 8000

E = 10000

F = 12000

G = 14000

Complete Question;

Look at chart below.

The number of satisfied customers is given below each month on the x-axis.

Select an appropriate scale for the y-axis of the graph.

The appropriate scale for the y-axis is:

A =

B =

C =

D =

E =

F =

G =

Graph y=4x-9 ill give brainliest for first one that is correct

Answers

Answer:

I hope this helps

7 times a number is 8 less than the square of that number. Find the negative solution.

Answers

Answer:

  -1

Step-by-step explanation:

The required relation is ...

  7n = n^2 -8

  0 = n^2 -7n -8 . . . . put in standard form

  0 = (n -8)(n +1) . . . . factor

Solutions are n=8 and n=-1.

The negative solution is -1.

A rectangular prism with a volume of 8 cubic units is filled with cubes twice: once with cubes with side lengths of 1/2 unit and once with cubes with side lengths of 1/3 unit. How many more of the 1/3-unit cubes are needed to fill the prism than if we used the 1/2-unit cubes? * Your answer

Answers

Answer:

Step-by-step explanation:

Given that,

A rectangular prism with a volume of 8 cubic units, V = 8 cubic units

The rectangular prism is filled with a cube twice.

First one

A cube with ½ length unit, we should know that a cube have equal length

Then, L = ½ units

Volume of a cube is L³

V = L³

V1 = (½)³ = ⅛ cubic units

Second cube

A cube with ⅓ length unit, we should know that a cube have equal length

Then, L = ⅓ units

Volume of a cube is L³

V = L³

V1 = (⅓)³ = 1 / 27 cubic units

So, to know number of times cube one will filled the rectangular prism

V = nV1

Where V is the volume of rectangular prism

n is the number of times the cube will be able to matched up with the volume of the rectangular prism

Then, n_1 = V / V1

n_1 = 8 / ⅛

n_1 = 64 times

Also,

n_2 = V / V2

n_2 = 8 / 1 / 27

n_2 = 8 × 27 = 216 times

So, the we need more of ⅓units and we will need (216 - 64) = 152 times

We need 152 more of ⅓units

You need 152 more cubes with side lengths of 1/3 unit than cubes with side lengths of 1/2 unit to fill a rectangular prism with a volume of 8 cubic units.

To determine how many more cubes with side lengths of 1/3 unit are needed to fill the rectangular prism compared to cubes with side lengths of 1/2 unit, we first need to find the number of each type of cube that fits into the prism.

The volume of the rectangular prism is given as 8 cubic units.

First, let's calculate the volume of one small cube:

For a cube with side length 1/2 unit, the volume is (1÷2)^3 = 1/8 cubic units.For a cube with side length 1/3 unit, the volume is (1÷3)^3 = 1/27 cubic units.

Next, determine how many of each type of cube are needed to fill the prism:

Number of 1/2-unit cubes: 8 / (1÷8) = 64 cubes.Number of 1/3-unit cubes: 8 / (1÷27) = 216 cubes.

The difference in the number of cubes needed is:

216 (1/3-unit cubes) - 64 (1/2-unit cubes) = 152 more 1/3-unit cubes.

What is the Inverse operation needed to solve for p?
765 = p - 254

Answers

Answer:

Adding 254 to both sides.

This is an inverse operation.

On the right side of the equation, there is a -254, which you need to get rid of in order to isolate p. (You have to isolate p to find the value)

So, since it is -254, you would do +254 on BOTH sides of the equation. Hope this helps!!

Final answer:

The inverse operation needed to solve for p in the equation 765 = p - 254 is addition.

Explanation:

To solve for p in the equation 765 = p - 254, we need to isolate p on one side of the equation. To do this, we can use the inverse operation of subtraction, which is addition. By adding 254 to both sides of the equation, we get:

765 + 254 = p - 254 + 254

Simplifying the equation gives us:

1019 = p

Therefore, the inverse operation needed to solve for p is addition.

Learn more about Inverse Operation here:

https://brainly.com/question/17776628

#SPJ3

2. If 1 cm3 of iron has a mass of 7.52 g, what is the mass of an iron bar of rectangular cross section with
the dimensions shown?
120.0 cm
3.2 cm
í
1.7 cm​

Answers

Answer:

248cm

Step-by-step explanation:


Mr. Jones gave some statistics for the Unit 1 Math test:

Mean = 70
Median = 75

Based on this information, which statement is NOT true?

A) The data is skewed to the left.
B) More people passed than failed.
C) Exactly half the class failed the exam (<70).
D) A person that scored a 74 scored lower than half the class.

Answers

Answer:

The Correct answer is C

Step-by-step explanation:

because i just took it.

Answer:

c

Step-by-step explanation:

American Statistical Association budget is distributed normally with a mean spending of $45.67 and a standard deviation of $5.50. What is the probability that the spending is more than $42.35

Answers

Answer:

Probability that the spending is more than $42.35 is 0.7271.

Step-by-step explanation:

We are given that American Statistical Association budget is distributed normally with a mean spending of $45.67 and a standard deviation of $5.50.

Let X = American Statistical Association budget

So, X ~ N([tex]\mu=45.67,\sigma^{2} =5.5^{2}[/tex])

The z-score probability distribution for normal distribution is given by;

               Z = [tex]\frac{ X -\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean spending = $45.67

            [tex]\sigma[/tex] = standard deviation = $5.50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that the spending is more than $42.35 is given by = P(X > $42.35)

  P(X > $42.35) = P( [tex]\frac{ X -\mu}{\sigma}[/tex] > [tex]\frac{42.35-45.67}{5.5}[/tex] ) = P(Z > -0.604) = P(Z < 0.604)

                                                              = 0.7271

Now, in the z table the P(Z [tex]\leq[/tex] x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.604 in the z table which will lie between x = 0.60 and x = 0.70 which has an area of 0.7271.

Hence, the probability that the spending is more than $42.35 is 0.7271.

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Answers

Y=1/5x ! :) I hoped this helped ! Privately message me if you need help with anything else !!

StartRoot 53 EndRoot is between 7.2 and 7.3. Estimate further to the hundredths place. Which two consecutive values does StartRoot 53 EndRoot fall between?

7.26 and 7.27
7.27 and 7.28
7.28 and 7.29
7.29 and 7.30

Answers

Answer:

7.28 7.29  c

Step-by-step explanation:

The square root of 53 can be found to lie between the values of 7.28 and 7.29.

What is the square root function?

The square root function can only have non negative values. If we take thee square root of a number, we obtain a value that can be multiplied by itself to obtain the number.

The square root of 53 can be found to lie between the values of 7.28 and 7.29.

Learn more about square root:https://brainly.com/question/3120622

#SPJ2

Consider the following linear programming problem: The feasible corner points are (48,84), (0,120), (0,0), (90,0). What is the maximum possible value for the objective function

Answers

Answer:

We have,

max 4x+10y

3x+4y<480

4x+2y<360

The feasible corner points are ( 48,84),(0,120),(0,0),(90,0)

Now, our problem is maximum type so put above feasible points in equation max 4x + 10y one by one and select one point at which our value from this equation is maximum,

(48,84) 4*48+10*84 1032

(0,120) 4*0+10*120 1200

(0,0) 4*0+10*0 0

(90,0) 4*90+10*0 360

Here we get maximum value at (0,120) which is 1200.

Correct option is (B)1200

Answer:

Answer is 1200.

Refer below.

Step-by-step explanation:

The maximum possible value for the objective function is 1200.

What is the measure of Zc?
so 90-
42
48
90
180

Answers

Angle Zc measures 90° as it is supplementary to the given 90° angle. Therefore, Zc = 90°.

To find the measure of angle Zc, we need to use the properties of angles formed by intersecting lines.

Given:

- Angle Zc is supplementary to angle 90°.

- Angle 90° is formed by the intersection of lines, let's denote them as line AB and line CD.

- Angle 90° is bisected by line EF, forming two congruent angles.

Step-by-step explanation:

1. Since angle Zc is supplementary to angle 90°, we subtract the measure of angle 90° from 180° to find the measure of angle Zc.

  Measure of angle Zc = 180° - 90°

                                     = 90°

So, angle Zc measures 90°.

Find the value of x

Answers

Answer:

37

Step-by-step explanation:

all triangle's angle measures add up to 180

180-98-45 = x

x = 37

Answer:

x = 37 degrees.

Step-by-step explanation:

All triangles = 180 degrees

^ That is known.

98 + 45 = 143

     ^ These 2 angles are given (98 and 45)

180 - 143 = 37

          ^ This was the total.

37 is the final answer.

I hope I helped you!

PLEASE ANSWER!URGENT! The table below shows the approximate height of a ball thrown up in the air after x seconds. Which quadratic model best represents the data?

Answers

Answer:

A) f(x) = –16x2 + 99x + 6

Step-by-step explanation:

ed2021 :)

A barbershop requires appointments for perms and hair cuts. Ten percent of those making appointments cancel or simply fail to show up. Next week's appointment calendar has 64 appointments. Let x be the number of missed appointments out of the 64. The probability that more than 3 cancellations and/or no-shows will occur during the next week is:

Answers

Answer:

0.8937

Step-by-step explanation:

This is a case of binomial probability with n = 64, p = 0.10 and x = 3.  This means that the probability of a cancellation is 10%.  Here, we can find the probability that more than 3 cancellations or no shows will occur by finding binompdf(64,0.10, 0) + binompdf(64,0.10, 1) + binompdf(64,0.10, 2) + binompdf(64,0.10, 3) and then subtracting this sum from 1.000.  

We get:    0.0012 + 0.0084 + 0.0293 + 0.0674 = sum = 0.1063

Then the desired probability is 1.0000 - 0.1063 = 0.8937

The probability that more than 3 cancellations and/or no-shows will occur during the next week is: 0.8937

This involves binomial probability distribution with the formula;

P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

We are given;

p = 10% = 0.1

n = 64

q = 1 - p = 1 - 0.1

q = 0.9

We want to find the probability that more than 3 cancellations and/or no-shows will occur during the next week is given by;

P(X > 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X =3))

From online binomial probability calculator;

P(0) = 0.0012

P(1) = 0.0084

P(2) = 0.0293

P(3) = 0.0674

Thus;

P(X > 3) = 1 - (0.0012 + 0.0084 + 0.0293 + 0.0674 )

P(X > 3) = 1 - 0.1063

P(X > 3) = 0.8937

Read more at; https://brainly.com/question/25232251

Which statements are correct? Check all that apply.
A quadratic function can have two irrational roots.
A quadratic equation can have no real number solutions.
If a quadratic function has two real roots, then both roots must be rational.
A quadratic function can have three zeros.
All quadratic functions touch or cross the x-axis at least once.

Answers

Answer:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

Step-by-step explanation:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

What is quadratic function?

A quadratic function is a polynomial function with one or more in which highest exponent of variable is two.

According to the question,

A quadratic function can have two irrational roots.

example: [tex]x^{2} -2x -2 =0[/tex]

This equation have two irrational roots  1+√3 and 1 - √3.

A  quadratic function can have no real number solutions

Hence, A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

Learn more about quadratic function here

https://brainly.com/question/26582529

#SPJ2

What value of n makes the equation 2/3 times in equals 4/9 true

Answers

Answer:

the answer is 3/2

Step-by-step explanation:

because when you divide it you have to do keep change flip so you change 4/9 to 9/4 and divide it by 2/3 to get 3/2 so you put it in the equation to see if it is correct

The equation is a linear function, and the value of n that makes the 2/3 times n equals 4/9 true is 2/3

How to determine the value of n?

The equation in the question implies that:

2/3 of n equals 4/9

This equation can be expressed as:

2/3 * n = 4/9

Multiply both sides by 3

3 * 2/3 * n = 3 * 4/9

Evaluate the product

2 * n = 4/3

Divide both sides by 2

n = 2/3

Hence, the value of n that makes the 2/3 times n equals 4/9 true is 2/3

Read more about equations at:

https://brainly.com/question/15602982

#SPJ2

It takes Ernesto 3 minutes to jog a lap around the school track. How many laps can Ernesto complete in 15 minutes?

Answers

Answer:

5 laps

Step-by-step explanation:

We can use ratios to solve

3 minutes        15 minutes

----------------- = ------------------------

1 lap                   x laps

Using cross products

3x = 15

Divide each side by 3

3x/3 = 15/3

x = 5

He can do 5 laps

manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasing a batch of 2000 cameras, applies the following sample plan: They randomly select 20 cameras and accept the whole batch if there are more than 17 working cameras. What is the correct probability statement for the company to accept the whole batch

Answers

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) [tex]nCr q^{r} p^{n-r}[/tex]

[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = [tex]20C18 * 0.97^{18} * 0.03^{20-18}[/tex]

P(X=18) = [tex]20C18 * 0.97^{18} * 0.03^{2}[/tex]

P(X=18) = 0.0988

P(X=19) = [tex]20C19 * 0.97^{19} * 0.03^{20-19}[/tex]

P(X=19) = [tex]20C19 * 0.97^{19} * 0.03^{1}[/tex]

P(X=19) = 0.3364

P(X=20) = [tex]20C20 * 0.97^{20} * 0.03^{20-20}[/tex]

P(X=20) = [tex]20C20 * 0.97^{20} * 0.03^{0}[/tex]

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

A ticketholder on the merry-go-round is riding a horse that is at a radius of 12 feet. How far does she travel after the merry-go-round rotates 3π5 radians? Give approximate answer. Round decimal to the tenth space.

Answers

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast. If a person is selected at random, find the probability that the person preferred milk as his or her primary drink.

Answers

Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = [tex]\frac{18}{60}[/tex]

The probability of person preferred coffee = [tex]\frac{29}{60}[/tex]

The probability of person preferred juice = [tex]\frac{13}{60}[/tex]

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = [tex]\mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}[/tex]

    =   [tex]\frac{18}{60}[/tex]  =  0.3

if f(x) = [tex]\frac{(3+x)}{(x-3)}[/tex], what is f(a +2)?

Answers

Answer:

[tex]f(a) = \frac{(a+5)}{(a-1)}[/tex]

Step-by-step explanation:

Given : [tex]f(x) = \frac{(3+x)}{(x-3)}[/tex]

In order to find [tex]f(a+2)[/tex] we will substitute [tex](a+2)[/tex] for [tex]x[/tex] in the given function, that is :

[tex]f(a) = \frac{(3+a+2)}{(a+2-3)}[/tex]

[tex]f(a) = \frac{(a+5)}{(a-1)}[/tex]

What is one way you can calculate 0.25 times 0.044 as a decimal?

Answers

Answer:

0.011

Step-by-step explanation:

let's see so first

first you line the numbers on the right (DO NOT ALINE DECIMAL POINTS)

second, starting from on the right multiply each digit in the top number by each digit in the bottom number just as whole numbers .

after add the products

If each edge is 5 inches, what will be the surface area of the cube? Pls help.

Answers

Answer:

C

Step-by-step explanation:

A cube has 6 square faces

Each face: 5² = 25

Surface area: 6(25) = 150 in²

6th grade math) help please

Answers

Answer:

C 66 miles

Step-by-step explanation:

88miles/4 gallons = 22 miles/gallon

22 miles/ gallon * 3 gallons = 66 miles

Answer:

66 miles per 3 gallons

Step-by-step explanation:

if you divide 88 by 4 you get 22 which means you get 22 miles to each gallon so for three gallons you would be able to drive 66 miles

Hope I helped:)

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 ​hours, technology output shows that the hypothesis test has power of 0.4038 of supporting the claim that muless than9 hours of sleep when the actual population mean is 8.5 hours of sleep. Interpret this value of the​ power, then identify the value of beta and interpret that value.

Answers

Answer:

a) probability of choosing the mean amount of sleep for adult as  μ < 9 hours when it is μ = 8.5 hours is 0.4038

b) There is a 0.5962 probability of failing to choose that the mean amount of sleep for adult is  μ < 9 hours when it is μ = 8.5 hours

Step-by-step explanation:

a) Interpret the value of the power

The power of an hypothesis is the probability of rejecting the null hypothesis when the alternative hypothesis is valid. It is a type 1 error

Power = 0.4038

From the hypothesis test,

the null hypothesis, μ = 8.5 hours

Alternative hypothesis, μ < 9 hours

Sine the power is the probability of rejecting the null hypothesis, it means that the probability of choosing the mean amount of sleep for adult as  μ < 9 hours when it is μ = 8.5 hours is 0.4038

b)

Power + β = 1

β = 1 - Power

β = 1 - 0.4038

β = 0.5962

β, type 2 error, is the probability of not rejecting the null hypothesis even when it is false.

It means that there is a 0.5962 probability of failing to choose that the mean amount of sleep for adult is  μ < 9 hours when it is μ = 8.5 hours

Final answer:

The power of a test (0.4038 in this case) is the probability that we correctly reject the null hypothesis, given the actual population mean is 8.5 hours. Beta (1 - Power, or 0.5962 in this case) is the probability of committing a type II error, which is incorrectly accepting the null hypothesis.

Explanation:

In the context of hypothesis testing in statistics, the power of a test refers to the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true. In this specific scenario, the power of the test is 0.4038. This means that there is a 40.38% chance that we would correctly conclude that the mean sleep for adults is less than 9 hours, assuming that the actual population mean is 8.5 hours.

The value of beta represents the probability of committing a type II error, which is the error of not rejecting a null hypothesis when it should be rejected; in other words, incorrectly concluding that the mean sleep for adults is not less than 9 hours when it actually is. The value of beta can be calculated as 1 minus the power of the test, so in your case it would be 1 - 0.4038 = 0.5962. This means there is a 59.62% chance of committing a type II error.

Learn more about Hypothesis Testing here:

https://brainly.com/question/34171008

#SPJ3

Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Answers

Answer:

Step-by-step explanation:

The answer is 10 bananas and 2 apples

The number of apples are 2 and number of bananas is 10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.

She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.

On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Let Bananas is denoted by B and Apples are represented by A.

A+B=12...(1)

5A+7B<80...(2)

A=12-B

Substitute in equation 2.

5(12-B)+7B=80

60-5B+7B=80

60+2B=80

Subtract 60 on both sides.

2B=80-60

2B=20

Divide both sides by 2.

B=10

A+B=12

A+10=12

A=2

Hence, the number of apples are 2 and number of bananas is 10.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Aiden learned 12new words. Wyatt learned 6 new words How many times as many new words as Wyatt did Aiden learn

Answers

Answer:

2

Step-by-step explanation:

6×2=12

That is how I got the answer.

Answer:

2

Step-by-step explanation:

8. A machine making
mango pieces puts 8
pieces in each snack
packet. The machine
makes 88 pieces in 1
minute. How many
packets are filled
every minute?
9. A carpenter mal
tables. Some ha
legs and some
legs. He plans t
tqbles with 3 le
tables with 4
many legs will
<?

Answers

Answer:

8. 11 packets

Step-by-step explanation:

8. If the machine makes 88 pieces in 1 minute and puts 8 pieces in each snack packet 88÷8=11 so, 11 packets are filled each minute.

I cannot read 9. as it is cut off, so i can't answer it :)

Final answer:

In an economy with 100 workers who can produce either four cakes or three shirts, they can make 400 cakes or 300 shirts, respectively, when all are dedicated to one task.

Explanation:

Calculating Production Output

If an economy has 100 identical workers with each one capable of producing either four cakes or three shirts, we can calculate the total production of each good. When all workers are cooking, the number of cakes that can be produced in this economy is 400 cakes (100 workers × 4 cakes per worker).

Conversely, if all workers are sewing shirts, then the total number of shirts produced is 300 shirts (100 workers   ×3 shirts per worker).

An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Find the probability of the sum of the dots indicated. A sum less than 8

Answers

Answer:

7/12

Step-by-step explanation:

Probability is a ratio defined by the number of possible outcome to the number of total outcome. The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.

The probability that an event a will happen or that another independent event  b will happen is the sum of the probability that a will happen to the probability that b will happen.

For the 2 dies, the outcomes possible when rolled are as shown below  

O   1     2     3    4    5     6

1    2    3     4     5    6    7

2   3    4     5    6    7     8

3   4    5    6    7      8    9

4   5    6    7     8    9    10

5   6     7   8    9    10    11

6   7    8    9    10    11    12    

From the table, there are 36 possible outcomes but only 21 outcomes are less than 8 hence the probability required

= 21/36

= 7/12      

Other Questions
Please answer this quickkkkkkk Bob flips a fair coin. If Bobs outcome is heads, Chuck draws a card randomly from a Poker deck where the four kings have been removed beforehand; If Bobs outcome is tails, Chuck draws a card randomly from another Poker deck where the four aces have been removed beforehand. (There are 52 cards in a standard deck, among which there are 4 kings and 4 aces). Finally, if Chuck gets a king David raises a red flag; otherwise David raises a green flag. What is the probability that David raises a green flag? Can any one please Help with 4 Use the data in the table to complete the sentence. The function has an average rate of change of.... why is the motion of simple pendulum not strictly a simple harmonic motion Which cultural group once preserved food by burying kimchi pots underground during the winter? a ___________ is the smallest unit of life? Use the multiplier method to increase 258 by 43%You must show your working. How could you increase the width (in centimeters) of the central maximum of the diffraction pattern on the screen? There may be more than one correct method, so select all those that would work. In each case, assume you only do the one named thing and make no other changes. : If the estimate of the useful life of equipment is modified, this change requires A : that no change be made to the amount of periodic depreciation recorded in subsequent years. B : that income for the current year be increased. C : a retroactive change in the amount of periodic depreciation recognized in previous years. D : that the amount of periodic depreciation be changed in the current and future years. Long Construction Company uses the percentage-of-completion method of accounting for long-term construction contracts. During 2021, Long began work on a $400 million fixed-fee construction contract, which was completed in 2024. Cost incurred and estimated costs to complete at year-end for the life of the contract are as follows ($ in millions): Cost Incurred Estimated Costs to Complete as of December 31 2021 $60 $240 2022 $84 $176 For the year 2022, Long should have recognized gross profit on this contract of: a.$20 million. b.$18 million. c.$16 million. d.$14 million. How the Mongols encouraged trade during the Pax Mongolica Kerry bought a conical tent to put on the back porch. The tent instructions reveal the height at the tallest point to be4.5 feet and the space inside to be 10.5 cubic feet. About how many square feet of the back porch will be covered bythe tent?Which measure of the cone needs to be calculated to answer the problem?A. diameter B. Radius C. Base areaD. VolumeWhich equation represents the scenario?A. V= (1/3)(10.5)(4.5)B. 4.5 = (1/3)(10.5)(h)C. 10.5 = (1/3)(4.5)(h)D. 10.5= (1/3)B (4.5)How many square feet of the back porch will the tent cover?A. 2.33 square feet B. 6 square feet C. 7 square feet D. 15.75 square feet On July 1, Alaskan Adventures issues a $120,000, eight-month, 6.5% note. Interest is payable at maturity. What is the amount of interest expense that the company would record in a year-end adjustment on December 31 A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less than 5 times the number of red marbles. How many white marbles are there? THREE FRIENDS WENT ON A TRIP TO THE STRIP OF LAS VEGAS. THE RATES FOR ROOMS IN THE SUMMER ARE USUALLY PRETTY INEXPENSIVE. THE THREE GOT A ROOM AT THE STRATOSPHERE FOR $60(all taxes and Resort fees included), SO THEY EACH PAID $20 PER PERSON AND WENT UP TO THE ROOM. AS THEY WERE UNPACKING, THE BELLHOP KNOCKED ON THE DOOR AND TOLD THEM THAT THE FRONT DESK SAID THE ROOM WAS ONLY SUPPOSED TO BE $55. SO HE HAD FIVE ONE DOLLAR BILLS TO GIVE BACK TO ONE OF THE FRIENDS. THAT FRIEND SUGGESTED THAT EACH GET $1, AND THE BELLHOP KEEP THE OTHER $2 AS AS TIP. SO, THAT IS WHAT THEY DID, AND THE BELLHOP LEFT. THEN ONE OF THE OTHER BUDDIES SAID, HOLD ON A MINUTE... WE ALL PAID $19 EACH FOR THE ROOM, SO, 3 X $19 = $57. AND WE GAVE THE BELLHOP $2, WHY DOESN'T IT ADD UP TO $60, SO WHAT'S UP? WHAT HAPPENED TO THE MISSING BUCK??? What is 1 3/4 divided by 1/3 equal There were 34 balloons at the beginning of a party. By the end of the party, m of them had popped. Using ,m write an expression for the number of balloons that were left. George Large (SSN 000-11-1111) and his wife Marge Large (SSN 000-22-2222) live at 2000 Lakeview Drive, Cleveland, OH 49001 and want you to prepare their 2017 income tax return based on the information below: George Large worked as a salesman for Toyboat, Inc. He received a salary of $80,000 ($8,500 of federal income taxes withheld and $1,800 of state income taxes withheld) plus an expense reimbursement from Toyboat of $5,000 to cover his employee business expenses. George must make an adequate accounting to his employer and return any excess reimbursement, none of the reimbursement was related to the meals and enter- tainment. Additionally, Toyboat provides George with medical insurance worth $7,200 per year. George drove his car a total of 24,000 miles during the year, and he placed the car in service on June 1, 2015. His log indicates that 18,000 miles were for sales calls to customers at the customers' offices and the remainder was personal mileage. George uses the standard mileage rate method. George is a college basketball fan. He purchased two season tickets for a total of $4,000. He takes a customer to every game, and they discuss some business before, during, and after the games. George also takes clients to business lunches. His log indicates that he spent $1,500 on these business meals. George also took a five-day trip to the Toyboat headquarters in Musty, Ohio. He was so well-prepared that he finished his business in three days, so he spent the other two days sightseeing. He had the following expenses during each of the five days of his trip: Airfare $200 Lodging $85/day Meals $50/day Taxicabs $20/day Marge Large is self-employed. She repairs rubber toy boats in the basement of their home. The total square footage of the Larges' home, including the basement, is 3,000 square feet. The portion of the basement used in Marge's business is 750 square feet. The busi- ness code is 811490. She had the following income and expenses: Income from rubber toy boat repairs $15,000 Cost of supplies 5.000 Contract labor 3,500 Telephone (business) 500 The Larges use the simplified method to figure their deduction for Marge's business use of their home. The Larges incurred the following total other expenses: Real estate taxes 2,500 Mortgage interest 4,500 Cash charitable contributions 3.500 Prepare Form 1040, Schedules A, C, and SE for Form 1040, and Form 2106 for the 2017 year. (Assume no depreciation for this problem and that no estimated taxes were paid by the Larges.) MIRR calculation) Emily's Soccer Mania is considering building a new plant. This project would require an initial cash outlay of $10.2 million and would generate annual cash inflows of $3.2 million per year for years one through four. In year five the project will require an investment outlay of $5.2 million. During years 6 through 10 the project will provide cash inflows of $5.2 million per year. Calculate the project's MIRR, given a discount rate of 8 percent.'