What is the surface area of the prism?

77.25 cm2
154.5 cm2
225 cm2
309 cm2

The required probability would be 65.78% that at most 14 returns will pass the audit.

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

P(Passed the audit) = 0.931

Number of tax returns = 15

We must determine the probability that no more than 14 returns will pass the audit.

⇒ P(X⇒14)

P(X⇒14) = 1 - P(X>14) =1 - P(X=15)

Binomial distribution probability, which can be computed as will be used in this case

⇒ P(X=n IN,p) = P(X=15| 15,0.931)

⇒  15C15 (0.931¹⁵) (1-0.931)⁽¹⁵⁻¹⁵⁾

⇒  10.34221 × 10

⇒  0.3422

⇒ P(X⇒14) = 1 - P(X>14)=1 - P(X=15) = 1 -0.3422 = 0.6578

Hence, there is a 65.78% probability that a maximum of 14 returns will be accepted for filing.

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Complex numbers are numbers in the form

where i represents the imaginary number defined as the square root of minus one.

We call a as the real part of the complex number and b the imaginary part.

We want to rewrite the number

in terms of the imaginary constant.

Using the following property

We can rewrite the second term of our sum as

Then, our number can be rewritten as

Using the definition of the imaginary unit we can rewrite our number as

Then, we can rewrite the square roots as

The simplified version of our number is

The value of x in the solution set is x = 4

The system of inequalities is given as

3x + 4 < 9

-x + 6 ≥ -3

The first step is to solve for x in both inequalities in the system of inequalities

So, we have

3x + 4 < 9

3x < 5

Divide by 3

x < 5/3

Also, we  have

-x + 6 ≥ -3

-x ≥ -9

Divide by -1

x ≤ 9

So, we have

x < 5/3 and x ≤ 9

x ≤ 9 is a superset of x < 5/3

So, we have

x ≤ 9

This means that the values of x do not exceed 9

An example of this value (from the options) is 4

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The solution of the equation 4 x - 1 = - 2 (x + 1) is x = [tex]\frac{-1}{6}[/tex]

4 x - 1 = - 2 (x + 1)                 (given)

4 x - 1 = - 2 x - 2                   (applying distributive law to RHS)

4 x - 1 + 2 x = - 2                  (transferring literal term from RHS to LHS)

6 x - 1 = - 2                           (simplifying literal terms of LHS)

6 x  = - 2 + 1                         (transferring constant term from LHS to RHS)

6 x = - 1                                (simplifying constant terms of RHS)

x = - 1 / 6                              (transferring literal coefficient from LHS to RHS)

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PROBLEM

Slope of a line passes through (-82,-26) and (-81,4)

Method

Step 1

Write out slope formula

Step 2

write out all parameters

x1 = -82, y1 = -26

x2 = -81 , y2 = 4

Step 3

Input all parameter

ANSWER

3/7 (the correct option is not there)

EXPLANATION

There are 7 red balls and 3 white balls in the bag.

To find the probability of Doug being the first to draw the white ball, we have to assume that Andrew, Betsy and Cam all draw red balls.

There are a total of 10 balls there.

After Andrew Betsy and Doug pick their balls, there will be 7 balls left, that is:

4 red balls and 3 white balls.

Ther probaility of Doug picking the white ball will therefore be the number of white balls divided by the total number of balls.

That is:

P(Doug) = 3/7

That is the probability that Doug will win the $160.

Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.​

we know that

the volume of the sphere is equal to

In this problem we have

r=5.2/2=2.6 cm -----> the radius is half the diameter

pi=3.14

substitute the given values

With the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

Here,

According to the table,

The number of bananas will become smaller as one moves down the table.

Therefore, with the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

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Complete question:

Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. Will the number of bananas get smaller or larger as you move down the table? How do you know?

The table has been attached

Her monthly payment will be $103.29.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. Because simple interest keeps total interest payments lower than compound interest, it is better for borrowers. Simple interest is used in the monthly amortization of auto loans and retailer instalment loans. As the loan balance decreases with each monthly payment, so does the interest.

Given Data

Principal = $939

Time = 12 months

Rate = 11%

Simple interest = P(R)(T)

Simple interest = [tex]\frac{939(1)(11)}{100}[/tex]

Simple interest = 103.29

Her monthly payment will be $103.29.

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Answer:

579.93

Step-by-step explanation:

trust me bro

Answer: 580

Step-by-step explanation:

Answer:

(a) 180°

(b) 180°

(c) Transitive

(d) m∠3

(e) ∠3

Step-by-step explanation:

(a) and (b) Supplementary angles add to 180°
(c) Transitive Property says if a = b and b = c then a = c

The son mowed most of the lawn

7/20 of the lawn still needs to be mowed

Size of the lawn mowed by Miss Jones = 1/4

Size of the lawn mowed by her son = 2/5

To know who mowed the most lawn, find the LCM of the denominators

The LCM of 4and 5 = 20

Make the denominators of both fractions to be 20

Size of the lawn mowed by Miss Jones = 1/4 x 5/5 = 5/20

Size of the lawn mowed by her son = 2/5 x 4/4 = 8/20

Since 8/20 > 5/20, Miss Jone's son mowed more part of the lawn than Miss Jone

How much of the lawn still needs to be mowed:

Savannah's grade percentage in the class so far is 92.28%.

Percentage is a measure of frequency that is used in mathematics. The sign that represents percentage is %. In order to convert a number to percentage, multiply the fraction of that amount by 100 or by the given percentage.

Savannah's grade percentage can be determined by adding her percentage score in each component that makes up the total grade.

Percentage score in quizzes = (score obtained / maximum score) x percentage allocated to quizzes

(118 / 150) x 15% = 11.80%

Percentage score in the three exams = (average of the three scores / maximum score) / percentage allocated to exams

Average of the three scores = (73+ 89 + 97) / 3 = 86.33

(86.33 / 100) x 55% = 47.48%

Percentage score in the project = (score in the project / maximum points) x percentage allocated to project

(28 / 25) x 25% = 28%

Percentage score in attendance = 5%

Total grade percentage so far: 5% + 28% + 47.48% + 11.80% = 92.28%

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Solution:

The equation of an up-down facing parabola with vertex at (h, k) and focal length p is expressed as

It should be noted that the frequency distribution given appear to be normal as D. No, the frequencies increase, reach a maximum, then decrease.

It should be noted that the graph that's illustrated shows that there is a concentration of the data points in the middle.

It should be noted that this illustrates that isn't not normal and the bell shaped curve was illustrated.

Therefore, based on the information, the correct option is D.

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Given the information on the proble, we have to substract 2/3 cups from the 9/10 cups that the jar contains. We can use the following general rule for the substraction of fractions:

then, in this case, we have the following:

therefore, there are 7/30 cups of honey left in the jar

Answer:

13$

Step-by-step explanation:

just divide 39 by three.

39 dive by 3=13

13 x 3=39

Using the continuity concept, it is found that the function is continuous on the following interval:

C. (0, 1).

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In the context of this problem, the numeric values are especially relevant, as the function not continuous at the zeros of the denominator.

The denominator of the function is given as follows:

(x² - 2)(x + 0.4).

Hence the discontinuity points are:

Hence the only interval in which the function is continuous over the entire interval is given by option C.

The function and the possible options are given by the image at the end of the answer.

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Using translation, the functions that could be the one graphed are given as follows:

A translation is when a function undergoes a change in it's definition, keeping the same shape and side length, just changing the position.

The possible translations are given as follows:

In the context of the graph of this problem, the parent function is the square root of x, defined as follows:

y = sqrt(x)

The domain of this function, as is the domain of the graph, is for non-negative values of x, hence:

x ≥ 0.

From the graph, the function was translated down a units, keeping the domain but changing the range, hence the translation has the following format:

y = sqrt(x) - a.

Hence the first two options can be correct, either with a = 1 or with a = 3.

The information to solve this problem is given by the image at the end of the answer.

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Answer:

kiss

i just thought of kiss I'm probably not correct to be honest

Answer:

He would have $235

Step-by-step explanation:

If Tom worked 28 hours and earned $9 per hour he would have 252 dollars. Then if he spent $17 dollars he would have $235

Answer:

235

Explanation:

If Tom worked 28 hours last month, and his hourly rate is $9.

Start by multiplying 9 times 28. 9 × 28 = 252

Faster way I do the math is in my head, what is 9*3=27, Add a zero 9×30=270. 30-2=28;2×9=18, Subtract 270-18=252...

Tom spent $17 of his earnings, $252-$17=$235

Answer:

the aswer is 30 glad i could help

Step-by-step explanation:

Answer:

w = 30

Step-by-step explanation:

184 = 2w + 64 + 2w

(2w + 2w)

184 = 4w + 64

(184 - 64)

120 = 4w

(÷4)

w = 30

The most appropriate choice for simultaneous linear equation will be given by -

Cost of one notebook is $1.70 and cost of one pen is $0.50

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

Let the cost of one notebook be $x and the cost of one pen be $y

John spent $10.50 on 5 notebooks and 4 pens.

So,

5x + 4y = 10.50 ........... (1)

Ariana spent $7.80 on 4 notebooks and 2 pens

So,

4x + 2y = 7.80 ............ (2)

Multiplying equation (2) by 2,

8x + 4y = 15.60 ............ (3)

Subtracting (1) from (3),

3x = 5.10

[tex]x = \frac{5.10}{3}[/tex]

[tex]x =[/tex] $[tex]1.70[/tex]

Putting the value of x in (1)

[tex]5 \times 1.70 + 4y = 10.50\\8,50 +4y = 4y = 10.50\\4y = 10.50 - 8.50\\4y = 2\\y = \frac{2}{4}[/tex]

y = $[tex]0.50[/tex]

Cost of one notebook is $1.70 and cost of one pen is $0.50

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Answer:

first one 49.75

second one 154.5

Step-by-step explanation:

Answer:

1.) 49 [tex]\frac{3}{4}[/tex] [tex]in^{2}[/tex]      2.) 154.5 [tex]cm^{2}[/tex]

Step-by-step explanation:

These involve finding the area of a rectangular prism.

1.)

A = 2wl + 2lh + 2hw

A = 2(3.25 x 3.5) + 2(3.5 x 2) + 2(2 x 3.25)

A = 2(11.375) + 2(7) + 2(6.5)

A = 22.75 + 14 + 13

A = 49.75

2.)

A = 2wl + 2lh + 2hw

A = 2(4.5 x 8.5) + 2(8.5 x 3) + 2(3 x 4.5)

A = 2(38.25) + 2(25.5) + 2(13.5)

A = 76.5 + 51 + 27

A = 154.5

The standard error of mean if o=64 and n=64 will be 8 given the parameters standard deviaion of = 64 and n = 64.

The formula N provides the standard error mean. We must be aware that the standard error means in the given question is denoted by the letter M.

Applying the formula now, we get the following:

σM = 64/√64

64 divided by its square root gives us the number 8.

The standard error means is thus equal to 64 divided by 8, or 8.

We may then conclude that the standard error means will be 8 given the standard error means of = 64 and n = 64.

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Answer:

there are 47 worms in the container

Step-by-step explanation:

empty container- 225 g.

full container- 751.4 g.

1 worm- 11.2 g.

equation

(751.4-225)/11.2

751.4-225= 526.4

526.4/11.2= 47 worms

The expressions are simplified to;

a. 3n

b. 8c

c. xy + 8y

Algebraic expressions are defined as mathematical expressions that are composed of coefficients, variables, terms, factors and constants.

They are also made up of some operations, mathematical or arithmetic, which includes;

Given the expressions;

a.  n + n + n

Since they are like terms, collect and them together

We have;

3n

b.  3c + 5c

Add the like terms

8c

c. 3xy + 5y − 2xy + 3y

collect like terms

3xy - 2xy + 5y + 3y

Add or subtract like terms

xy + 8y

Hence, the values are 3n, 8c and xy + 8y respectively.

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An inequality which is represented by the number line above is: x < -7.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, there are four (4) rules that are generally used to write an inequality and these include the following:

Next, we would apply the aforementioned rules to write the solution to the inequality shown in the number line above:

x < -7

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The value of x is 8 cm.

The area of a rectangle is the space occupied by the rectangle inside its perimeter. A rectangle's area is calculated by multiplying its length by its width.

Given:

Length of rectangle = 20 cm

Width of rectangle= x cm

Area of rectangle = length × width

                             = 20x cm²

The dimensions of the smaller rectangle cut out of it are,

Length = 16cm

Width = x-3

Area of the smaller rectangle = length × width

                                                 = 16(x - 3) cm²

The area of the shaded portion will be equal to the difference between both areas which is given as 80 square centimeters.

20x - 16(x-3) = 80

Now, we need to solve this equation to obtain the value of x.

20x - 16x + 48 = 80

4x = 80 - 48

4x = 32

x = 32/4

x = 8

Therefore, the value of x is 8 cm.

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