Please help, I’ve been trying to do this for a couple of hours now but I can’t seem to figure it out.

The tables show a Linear function that represents your earnings y in dollars after x working hours

(Picture below)

What is the totals earnings for the 6th hour?

$

What is your hourly wage?

$

Please Help, Ive Been Trying To Do This For A Couple Of Hours Now But I Cant Seem To Figure It Out. The

Answers

Answer 1

Answer:

total earnings at 6th hour: 111

hourly wage (slope): 18.5

Step-by-step explanation:

A linear function has a linear relationship, which essentially states as x increases by one, the y-value increases by some constant amount yielding a straight line.

The slope, or how much the y-value changes as x changes by 1 is generally written as: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can choose any two points and this should yield the slope of the function, but it's a lot easier to choose y-values that are only separated by an x-value of one.

Let's say: [tex](x_1, y_1)=(4,\ 74)\text{ and }(x_2,y_2)=(5,\ 92.50)[/tex]

If we plug the values into the slope formula we just get: [tex]\frac{92.50-74}{5-4}=\frac{92.50-74}{1}=92.50-74[/tex]

And this makes sense, since by definition of a slope, it's just the change in y over change in x. This is equivalent to how much the y-value changes as x increases by one, so if we select two values with a difference of one in their x-values, the slope just turns out to be the difference between the two numbers.

Simplifying our expression we get: [tex]92.50-74=18.5[/tex]

This slope in this context represents how earnings increases as the hour increases, or in other words the hourly wage.

To calculate the earnings of the 6th hour we can just use the definition of a slope. From the x-value 5 to the x-value 6, the y-value should simply increase 18.5

So adding 18.5 to the y-value at x=5 we get: [tex]92.5+18.5=111[/tex]


Related Questions

PLEASE HELP ASAP this stuff doesn’t make sense ;-;

Answers

The system of Inequality for the given graph is;

2x + 3y ≥ 12

3x - 5y ≥ 15

How to Interpret Inequality graph?

Inequalities that use < or > symbols are always plotted with a dashed line while Inequalities that use ≤ or ≥ symbols are always plotted with a solid line.

Now, if the shaded portion is above a dashed line, the the symbol is > but if it is shaded above a solid  line, then the symbol is ≥. In this question, a solid line is used for both equations and shaded above the lines and so we will use ≥.

Equation of Line 1;

x-intercept = 6

y intercept = 4

Slope = -2/3

Thus, using the general equation of slope of line, the equation of this inequality is; 2x + 3y ≥ 12

Similarly, the equation of the second line will be;

3x - 5y ≥ 15

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Determine whether the graph represents a linear or non linear function and explain

Answers

Answer:

Non-linear

Step-by-step explanation:

Because the line is not straight.

Write an equation for the line parallel to the given line that contains C.
8
C(-1,8); y=8/9x-7
y=

Answers

The equation for the line parallel to given line containing C:

y = 8/9x + 64 / 9

What is Parallel line ?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Given that a line's equation is,

y = 8 / 9x - 7

If we contrast this equation with a line's slope-intercept,

this line's slope = 8/9

Since every line parallel to this one will have a same slope,

The parallel line's slope is equal to

The symbol for the line with the slope 'm' and the coordinates (x', y') is

y - y' = m(x - x')

As a result, the equation of the line through (-1, 8) with a slope will be,

y - 8 = 8/9 (x-1)

y =8/9x - 8/9 - 8

y = 8/9x + 64 / 9

Hence, The equation for the line parallel to given line containing C is

y = 8/9x + 64 / 9

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Find the distance between points S(-2,4) and T(3,9). Round your answer to the nearest tenth.

Answers

Answer:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=[3-(-2)]^2+(9-4)^2

d^2=(5)^2+(5)^2

d^2=25+25

d^2=50

d= [tex]\sqrt{50}[/tex]

d=7.07 units

a. If p is an even number, then p + 12 is even.​

Answers

Answer:

True???

Step-by-step explanation:

Is this a true or false question?

P+12=even number

Examples...

12+12=24

16+12=28

66+12=78

Answer:

YES

Step-by-step explanation:

even + even = even

always and forever

Multiply −14y(7y − 5).

−98y2 + 70y
−98y2 + 70
−98y2 − 5
98y2 − 70y

Answers

Answer:

[tex]-98y^2+70y[/tex]

Step-by-step explanation:

Expand the equation [tex]-14y(7y-5)[/tex], we get

[tex](-14y*7)-(-14y*5)[/tex]

Which is equal t0:o

[tex]-98y^2+70y[/tex]

The product of given monomial by binomial is -98y²+70y.

Given that, -14y(7y - 5).

What is product of polynomials?

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

Using distributive property, multiply given monomial by binomial. That is,

-14y(7y - 5)=-14y×7y - (-14y)(5)

= -98y²+70y

Therefore, the product of given monomial by binomial is -98y²+70y.

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Skippy got his first paycheck and his gross pay was $1200. He noticed he paid the federal
government $180, FICA $91.44, and a state tax of $60.
a) How much did he pay in taxes?
b) What percentage of his gross income went to taxes?
c) What is his net pay?

Answers

A) he paid $231.44 in taxes. The way I found out is I added all three taxes together which is
91.44
180.00
60.00
+
________
$231.44

B) 19.28% went to taxes. To find the percentage all you have to do is take the total amount of taxes he paid which is 231.44 and divide it by the total amount he got paid before deduction which is 1200 and then you multiply the number you get by 100.

231.44/1200 = (0.1928666)100 = 19.28%

C) $968.56. To find this all you have to do is take the total amount of taxes he paid which is 231.44 and subtract it from the gross pay 1200 and that will give you the net pay.

11.) You have $49.99 to spend for a pair of jeans. The sales tax is 7%. What is the
most the jeans can cost?
A) $46.49
B) $46.72
C) $29.41
D) $45.16

Answers

Answer:

B) $46.72

Step-by-step explanation:

Let j = cost of the jeans

j * 1.07 is the cost of the jeans with tax

j * 1.07 = 49.99

Divide each side by 1.07

j * 1.07 /1.07 = 49.99 / 1.07

j =46.72

The jeans can cost no more than 46.72

Answer:

B) $46.72

Step-by-step explanation:
The problem can be expressed as an equation you solve for "y"
y + y * 0.07 = 49.99

We factor out the "y" from the equation and we get
y  * (1 + 0.07) = 49.99

Which is the same as
y * 1.07 = 49.99

We can then divide by 1.07 both sides
y = 49.99 / 1.07

Which yields
y = 46.719

If rounding is allowed the answer is B, otherwise the answer is A. I'll go with the rounded one


Solve for x -
[tex]\sf 6+4x+3=6x-21[/tex]

Answers

Answer:

x = 15

Step-by-step explanation:

Let's start by copying down the equation.

6 + 4x + 3 = 6x - 21

Let's simplify this equation and we get,

4x + 9 = 6x - 21

Now, we can add 21 to both sides to isolate 6x on one side. Then, we get...

4x + 30 = 6x

Now, we minus 4x from both sides to get rid of it.

Then we get...

2x = 30

Thus, x = 15

6 + 4x + 3 = 6x - 21

We minus (4x+3) on both side.

6 + 4x + 3 - (4x+3) = 6x - 21 - (4x + 3)

6 = 2x - 24
2x = 30
x = 15.

Recheck : 6 + 60 + 3 = 90 - 21
69 = 69 (nice.)

7. You bought a Gatorade and 4 bags of apples for $5.50. Write the equation that determines how much
each bag of apples was if the Gatorade cost $2.50.

Answers

Answer: (5.50-2.50)/4 = 0.75. each bag of apples is $0.75

Step-by-step explanation:

first, you subtract $5.50 by $2.50 to get $3, the cost of the 4 bags of apples altogether ($5.50 - $2.50 = $3)

then you divide $3 by 4 to get the cost of each bag of apples. (3/4 = 75)

so each bag of apples is $0.75

i hope this helps!

suppose that 75% of the applicants for a certain industrial job possess advanced training in computer programming. applicants are interviewed sequentially and are selected at random from the pool. find the probability that the first applicant with advanced training in programming is found on the third interview. (round your answer to four decimal places.)

Answers

The probability that the first applicant with advanced training in programming is found on the third interview is  0.0469

Let X denote the number interviewed until 1 has advanced training and follows a geometric distribution with parameter 75%, so

Geometric distribution is: (1-75%)

                                        =0.75

The density function of geometric distribution is,

[tex]P(X=x)=p(1-p)^{x-1}[/tex], for all x = 1,2,3,....

Now, we calculate the probability that the first applicant with advanced training in programming is found on the third interview:

P(X=3) =[tex]0.75(1-0.75)^{3-1}[/tex]

          =[tex]0.75(1-0.75)^{2}[/tex]

          =0.75×0.0625

          =0.0469

Hence, the required probability is 0.0469

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Long division synthetic remainder theorem and factor theorem

[tex](4n^3 - 18n + 21 - 8n^2) ÷ (2n - 6)[/tex]

Answers

answer step by step:

hope this helps

Zoe downloaded a trial game to her computer. She has at most 60 free minutes to
play the game. It takes 5 minutes to set up her character, and the instructions say
each level takes 8 minutes.

How many levels L is she estimated to complete on the free trial?
Show work or explain. Write your answer as an inequality. (here are inequality symbols you can
copy and paste < > ≤ ≥)

Answers

Answer:

6 levels

Step-by-step explanation:

60 - 5 (to set up the character)

55 total minutes

8(l) = 55

L = 55/8

L = 6.875

.˙. they can finish 6 levels

Grand canyon tours offers air and ground scenic tours of the grand canyon. tickets for the 7-1/2 hr tour cost $169 for an adult and $129 for a child, and each tour group is limited to 19 people. on three recent fully booked tours, total receipts were $2931 for the first tour, $3011 for the second tour, and $2771 for the third tour. determine how many adults and how many children were in each tour. hint: use method of question 2 to find the number of adults and children in each tour (3 tours).

Answers

Using a system of equations, the number of people on each tour is given as follows:

First tour: 12 adults and 7 children.Second tour: 14 adults and 5 children.Third tour: 8 adults, 11 children.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the given problem.

For this problem, the variables are described as follows:

Variable x: number of adults in the tour.Variable y: number of children in the tour.

All the tours were fully booked, hence the following equation is used in all cases:

x + y = 19.

Four the first tour, considering the values of the ticket and the total receipts, the following equation is built:

169x + 129y = 2931.

Using a calculator, the solution is:

x = 12, y = 7 -> 12 adults and 7 children.

For the second tour, the equation is:

169x + 129y = 3011.

Hence:

x = 14, y = 5 -> 14 adults and 5 children.

For the third tour, the equation is:

169x + 129y = 2771.

The solution is:

x = 8, y = 11 -> 8 adults, 11 children.

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cami invested $6000 dollars into an account that ears 10% intrest compound annually. write an explicit equation for how much money she wil have after t years

Answers

Answer:

Below in bold.

Step-by-step explanation:

10% = 0.10 as a decimal fraction.

After t years:

Amount = 6000(1 + 0.10)^t

Find the equation of the line.

Use exact numbers.

Answers

Answer:

y = (1/2)x + -3

Step-by-step explanation:

Point 1: (0, -3); Point 2: (6, 0)

            (x₁, y₁)                (x₂, y₂)

       y₂ - y₁           0 - (-3)      0 + 3         3           1

m = ------------- = ------------ = ---------- = -------- = --------

        x₂ - x₁            6 - 0           6            6           2

y - y₁ = m(x - x₁)

y - (-3) = (1/2)(x - 0)

y + 3 = (1/2)x

   - 3              -3

----------------------------------

y = (1/2)x - 3

I hope this helps!

Answer: y=0.5x-3

Step-by-step explanation:

[tex]\displaystyle\\(0,-3)\ \ \ \ (6,0)\\ \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} \\\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=0\\\\\frac{x-0}{6-0} =\frac{y-(-3)}{0-(-3)}\\\\\frac{x}{6} =\frac{y+3}{0+3} \\\\\frac{x}{6} =\frac{y+3}{3}[/tex]

Multiply both parts of the equation by 3:

[tex]\displaystyle\\\frac{x}{2} =y+3\\\\0.5x=y+3\\\\0.5x-3=y+3-3\\\\0,5x-3=y\\\\Thus,\ y=0.5x-3[/tex]

1. Given the sequence: {5, 7, 9, 11, ...}
Which explicit formula generates this sequence?
What’s the answer

Answers

Given that each term has a common difference, this is an arithmetic sequence as per the explicit formula that generates this sequence.

Arithmetic Sequence formula.

In this instance, the next word in the sequence is obtained by adding 2 to the previous term. To put it another way, a n = a 1 + d (n – 1) This is the arithmetic sequence’s formula.

How are explicit formulas handled?

Firstly, we have to find the initial phrase in a given series. Thereafter we have to find the shared difference between the following phrases in the sequence. For an explicit rule, replace the general form with the first term and common difference.

What in mathematics is an arithmetic sequence?

The distance between succeeding terms in an arithmetic series is always the same.

The difference between consecutive terms in the sequence 3, 5, 7, 9…, for instance, is an example of an arithmetic sequence.

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Write down the order of rotational symmetry of this regular heptagon.

Answers

The order of the rotational pentagon is 6.

What is order of a polygon?

The amount of times a form may be turned in a full circle without losing its appearance is known as its order of rotational symmetry. The only time the triangle appears the same after being rotated a full 360 degrees is when it returns to its original beginning position. It only has one rotational symmetry order, which is the initial position. A form can only have one rotational symmetry order.

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All of the following are equivalent fractions except
04/12
07/21
O 5/20
O9/27

Answers

Answer:

05/20 is not an equivalent fraction

Step-by-step explanation:

1) Write each fraction in its simplest form. To do this divide the numerator by the denominator.

04/12 becomes 1/3

07/21 becomes 1/3

05/20 becomes 1/4

09/27 becomes 1/3

2) all the fractions simplify to the same number except 05/20. So, we can conclude that 05/20 is not an equivalent fraction

9. A teacher assigns 4 points for a correct
answer, -1 points for an incorrect answer,
and 0 points for leaving the question
unanswered. What is the score for a
student who had 23 correct answers, 2
incorrect answers, and 1 unanswered
questions?

Answers

Answer:

90

Step-by-step explanation:

4 x 23 = 92
2 x (-1) = -2
1 x 0 = 0

92 + (-2) + 0 = 90

A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 4 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked.
Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.

Answers

Answer:

L = 4D + 53

After 36 days of work, the road will be 197 miles long.

Step-by-step explanation:

This question requests that an equation is found to represent the relationship between the length of a road and the days that the workers spend working on the road.

We are given that the road is 53 miles long prior to the work done by the construction crew. This means that this will be added in addition to what we will find.

L represents the length of the road after D days. Since the road is lengthened by 4 miles each day, this could be represented by 4 * D, or simply 4D.

Therefore, the equation we find can be written as L = 4D + 53.

Since we need to find how many miles the road will be after 36 days of work, substitute 36 days as D and solve for L:

L = 4(36) + 53

L = 144 + 53

L = 197

Therefore, the road will be 197 miles long after 36 days of construction.

which rational is qvuivalent to 0.86

Answers

The rational equivalent to 0.86 can be written as 43/50.

A rational number may be defined as the number which can be expressed in the form of p/q where p and q are integers, and the term q cannot be equal to zero. It can be either positive or negative or both. We can also say that any fraction which does not have zero in the denominator is called a rational number. Zero can also be regarded as a rational number as it can also be represented as a fraction. For example, 0/2, 0/5.  In order to write 0.86 as a rational number, we have to convert it in fraction form. In fraction form it can be written as

0.86 = 86/100

This is also a rational number, but we simplify it further and we get

86/100 = 43/50 which is a rational number.

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please help. urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

From the given linear equation graph, we can tell that the equation of the line in slope intercept form is; y = 1.2x + 3

How to Interpret Linear Equation Graph?

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given graph, we see that;

y - intercept = 3

x - intercept = -2.5

Now, we can find the slope by taking two coordinates;

(-2.5, 0) and (0, 3)

Slope = (3 - 0)/(0 - (-2.5))

Slope = 3/2.5

Slope = 1.2

Thus, the equation of the line is;

y = 1.2x + 3

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Sam creates a dot pattern using a rule. He starts with 2 dots and adds 2 dots for each term. The dot pattern continues for 50 terms. The first four terms in his dot pattern are shown below.

Answers

Answer:

That means the sum of the first 99 positive integers is 49(100) + 50 = 4900 + 50 = 4950. 2.

If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement
The domain for f(x) is all real numbers _____ than or equal to 2.

Answers

Answer:

Greater.

Step-by-step explanation:

The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

Answer:

The domain for f(x) is all real numbers greater than or equal to 2.

Step-by-step explanation:

Given function:

[tex]f(x)=2x^2+5 \sqrt{x-2}[/tex]

The domain of a function is the set of all possible input values (x-values).

As the square root of a negative number cannot be taken:

[tex]\implies x-2\geq 0[/tex]

Therefore:

[tex]\implies x-2+2\geq 0+2[/tex]

[tex]\implies x\geq 2[/tex]

Therefore, the domain of the given function is greater than or equal to 2.

Write a rule to describe the transformation.
E(-1-3), F(0,1), G(3,-2)
E'(-1.5,-4.5), F'(0,1.5), G' (4.5.-3)

Answers

Answer:

x= x1.5  y = x1.5

E' = E dilated by 1.5

Step-by-step explanation:

-1 x 1.5 =-1.5  -3 x 1.5 = -4.5  (-1.5,-4.5)

0 x 1.5 =0  1 x 1.5 = 1.5  (0,1.5)

3 x 1.5 = 4.5   -2 x 1.5 =-2  (4.5.-3)

The arithemetic mean of 3,15, and my number is 40. What is my number?

Answers

_

Average of given n numbers X1,X2,.........,Xn is x= £xi/n

Let the my number be x

Given:- The average of 3,15,x is 40

£xi/n =40

3+15+x/3=40

Multiplying 3 both side

18+x=120

x=120-18

x=102

Hence, my number is 102

Find the solutions to x² = 12. O A. x = +2√/6 OB. x = +2√3 O C. x = +6√2 O D. x = ±3√2​

Answers

The solution for the expression x² = 12 will be x = ±2√3.

The expression is given in the form of square of a variable x which is equal to 12. This expression does not form a perfect square as the constant term is not a perfect square number. A perfect square is a number which is expressed as the square of whole number, or a number multiplied by itself twice. Here, we are given that x² = 12. We take square root of the expression on both the sides then,

√x² = √12

x = √(2×2×3)

x = ±2√3

We use the sign '±' because any number which when expressed in variable form comes out of the square root then it can be positive or negative,

Thus, the value of x is ±2√3.

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In the circle below, P is the center. If < APB measures 56 °, find the measure of < ACB.

Answers

Given the shown figure

since

The Central Angle Is Twice The Inscribed Angle

where

a= mACB

2a = mAPB=56

then

[tex]2a=56[/tex][tex]a=\frac{56}{2}[/tex][tex]a=28[/tex]

a= mACB=28

Correct answer

option b

28

Converting Units of Measure I - Item 35100
Ellie needs 24 cups of milk for a large recipe. How many gallons does she need?
2 c = 1 pint
(pt)
2 pt = 1
quart (qt)
4 qt = 1
gallon (gal)

Answers

Ellie needs 1.5 gallon of milk (that is 24 cups).

we are given 2 cup = 1 pint

we have 24 cup which will be equal to 24/2 i.e. 12 pint.

we are given 2 pint = 1 quart

we have 12 pint which will be equal to 12/2 i.e. 6 quart

we are given 4 quart = 1 gallon

we have 6 quart which will be equal to 6/4 i.e. 1.5 gallon.

Hence, we know 24 cups of milk is equivalent to 1.5 gallon of milk

what are conversions in maths?

By multiplying or dividing a number, a conversion factor can be used to change one set of units to another. When a conversion is required, the right conversion factor to an equivalent value must be applied. For instance, 12 inches equals 1 foot when converting between inches and feet.

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Please help Ill mark you as brainliest if correct!!! Create a procedure(at least 5 steps) using bio-indicators that you could do to determine the health of a body of water or an ecosystem. To find the volume of your element, you completed water displacement, which is calculated by Final volume - Initial volume. Originally 14.0 mL of water was placed into the graduated cylinder. After you object was placed into the graduated cylinder, the water level raised to 20.6 mL. Calculate the volume of the object. Using the Amish as an example, how would you describe a traditional Amish economy ? Which statement is an important point in the passage?A. It is also a good idea to stir the food from time to time.B.The higher the wattage of your microwave, the faster it will cook food.C.Cooking two potatoes will take longer than cooking one. The quotient of 1 and the square of a number written as a algebraic expression? why did the gradute students create UBIskecth A chemical formula shows the_____of the______of atoms.A. ratio, typeB. ratio, elementsC. all of theseD. types, reactants Whats the correct answer answer asap for brainlist A plant biologist studies the height of sunflowers. He measures a large sample of sunflowers and creates a probability distribution. The distribution is normal in shape with mean 112 cm and standard deviation 16 cm.What is the probability (approximately) that a sunflower will be less than 136 cm tall?Enter a number in decimal form, e.g. 0.68, not 68 or 68%. Calculate the orbital radius of a geostationary satellite orbiting Saturn, where a day is 10.6 hrs? (MS = 5.7x1026 kg, rS = 5.4x107 m) a crate is accelerated at .035 m/s for 28.0 s along a conveyor belt. If the crates initial speed is 0.76 m/s what is it's final speed? the internet is a network of interconnected computers. each computer interface on the internet is identified by an internet address. in ipv4 (internet protocol, version 4), the addresses are divided into five classes -- classes a through classes e. only classes a, b, and c are used to identify computers on the internet. a class a address is a bit string of length 32. a bit string consists of $0$'s and $1$'s. the first bit is 0 (to identify it as a class a address). the next 7 bits, called the \textit{netid}, identify the network. the remaining 24 bits, called the \textit{hostid}, identify the computer interface. the netid must not consist of all 1's. the hostid must not consist of all 0's or all 1's. how many class a internet addresses are there? Some people advise that in very cold weather, you should keep the gas tank more than half full. Irene's car had 6.9 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas? 2+ I5rI = 12 Solve each equation a binomial probability experiment is conducted with the given parameters. use technology to find the probability of x successes in the n independent trials of the experiment. n Which inequality is represented by the graph? Shantel told her hired hand Warren to gather eggs from the henhouse. Warren collected 30 eggs and brought them to Shantel. Shantel inspectedthem and complained that 40% of them were broken. How many of them were still good eggs?eggs were still good. why does Madison choose these institutional structures and what is there impact on the efficiency and effectiveness of government? a nurse is preparing to administer a prescribed dose of digoxin to an 6-month-old infant. after assessing the infant's apical pulse, the nurse decides to withhold the dose and notify the health care provider. the nurse bases this decision on which apical pulse rate?