Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill. The probability is (Round to three decimal places as needed.)

Based on the information provided, the total Diane will need to pay is $11.6.

Let's start by calculating the total from the items she ordered, the process is shown below:

Now, let´s apply the coupon by using the 10% as a reference:

12.05 x 0.9 (she will paid only 90%) = $10.845

Finally, let's calculate the tax by using its percentage and let's add it:

$10.845 x 0.0775 = $0.84

$10.845 + $0.84 = $11.6

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Answer:

Step-by-step explanation:

The ratio that will determine the size of x, y, z is 9 / 12 That comes about because 9 value is parallel to the 12 value when both are extended in either direction

x

9/12 = x / 22           Cross multiply

12x = 9 * 22

12x = 198                Divide by 12  on both sides

x = 198/12      

x = 16.5

y

y and 24 are related because they are parallel

9/12 = y/24            Cross multiply

12y = 9 * 24

12y = 216

y = 216 / 12

y = 18

z

See the solution for x. z = x

\(\frac{z}{22}\)Answer:

y = 18      x = 16.5     z = 16.5

Step-by-step explanation:

\(\frac{y}{24}\) = \(\frac{x}{22}\) = \(\frac{z}{22}\)= \(\frac{9}{12}\) = \(\frac{3}{4}\)

So,  \(\frac{y}{24}\) = \(\frac{3}{4}\)               \(\frac{x}{22}\) = \(\frac{3}{4}\)               \(\frac{z}{22}\) = \(\frac{3}{4}\)

      4y = 72            4x = 66           4z = 66

        y = 18               x = 16.5           z = 16.5

Thus, the effective interest rate of this investment is approximately 1.1373, or about 13.73% (since we invested $500 at the end of each year for 5 years, and the investment grew to $3,200 one year after the last payment, the annual rate of return is about 13.73%).

To find the effective interest rate (x) of this investment, we need to solve the polynomial equation 500x^5 + 500x^4 + 500x^3 + 500x^2 + 500x = 3,200.

We can simplify this equation by dividing both sides by 500, which gives us:
x^5 + x^4 + x^3 + x^2 + x = 6.4

Now we can use synthetic division to test possible values of x and find the one that makes the equation true. We can start with x = 1, since it's a common starting point for synthetic division:
1 | 1 1 1 1 1 6.4
 |   1 2 3 4 5
 |___________
   1 2 3 4 5 1.4

Since the remainder is not zero, we need to try another value of x. We can try x = 1.2:
1.2 | 1 1 1 1 1 6.4
   |   1.2 1.44 1.728 2.0744 2.48928
   |_______________________
       1 2.2 2.728 3.8024 4.97828 -2.57828

Again, the remainder is not zero, so we need to try another value of x. We can keep trying values until we find one that gives us a remainder close to zero. After several attempts, we find that x ≈ 1.1373 gives us a remainder of about 0.0005, which is close enough to zero for our purposes.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

Step-by-step explanation:

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations (which we have, thankfully!) and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi\int\limits^2_0 {p(y)h(y)} \, dy\)

where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

p(y) is the distance from y = 2 to the solid, so p(y) = 2 - y

h(y) is the length of the representative rectangle, so h(y) = 8

and filling in the formula:

\(2\pi\int\limits^2_0 {(2-y)(8)} \, dy\) and simplifying a bit:

\(2\pi\int\limits^2_0 {16-8y} \, dy\)

Integrating we get

\(2\pi[16y-4y^2]\) from 2 to 0. Using the First Fundamental Theorem of Calculus:

\(2\pi[(32-16)-(0)]\) simplifies to

\(2\pi(16)\) which is, finally,

\(V=32 \pi\)

In this exercise we have to use the fundamental calculus theorem to calculate the volume of a rotating cylinder, thus we find that:

\(V=32\pi\)

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations  and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi \int\limits^2_0 {p(y)h(y)} \, dy\)

Where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

and filling in the formula:

\(2\pi \int\limits^2_0 {16-8y} \, dy\)

Integrating we get;

\(2\pi [ 16y-4y^2]\)

Using the First Fundamental Theorem of Calculus:

\(2\pi [ (32-16)-(0)]\)

\(2\pi (16) \\V=32\pi\)

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Answer:

I think it will be rectangle or square

because rectangle and Square have 4 right angles

and each two opposite sides are parallel

Answer:

That is correct, The answer IS 5. Good job

Step-by-step explanation:

I know how A.P.E.X can be confusing, but keep trying!

I believe the answer is 5 because that has to add up to 30 because it is a triangle.

PLEASE MARK BRAINLIEST

Answer:

its 90 degrees

Step-by-step explanation:

Step-by-step explanation:

f(x)=8(5x-2)

interchanging the role of x&y

x=8(5y-2)

f-1(x)=(x+16)/10

The value of \(f^{-1}(x)\) for the given function f(x) = 8(5x - 2) will be  \(f^{-1}(x)\) =(x + 16)/40.

A function's inverse can be thought of as a reverse of the function.

For instance, if y = f(x), then x = f will be the inverse (y).

It implies that we must swap x and y in the inverse function.

As per the given,

f(x)=8(5x-2)

Interchange the variable y and x as,

⇒ x = 8(5y - 2)

⇒ x+16=401y

⇒ y = (x+16)/40

Put y =  \(f^{-1}(x)\)

\(f^{-1}(x)\) =(x + 16)/40

Hence "The value of \(f^{-1}(x)\) for the given function f(x) = 8(5x - 2) will be  \(f^{-1}(x)\) =(x + 16)/40".

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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\(\huge\underline{ Answer -}\)

Given ,

\(\boxed{p = \frac{f}{a} } \\ \)

where ,

the initial values of a and f are -

a = 70

a = 20

\(\therefore \: f = 80 \\ a = 30\)

Then ,

\(p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67\)

hope helpful ~

The sample probability is Undercoverage.

According to the data, 2% of families have no telephone, 14% have just cell phones, and another 25% have unregistered phone numbers. Because the facility is only available to a segment of the population and not the entire population, it falls within coverage.

Undercoverage happens when a component of the sample population is not represented on the surveyed frame and hence has no possibility of being selected in the sample population; that is, the element has a zero probability of being selected.

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There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

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Step-by-step explanation:

probability that the first die shows six = 1/6

probability that the other die shows an odd number = 1/2

Answer:

Un ejemplo de una recta numérica es lo que un estudiante de matemáticas puede usar para encontrar la respuesta a las preguntas de suma y resta. Una línea recta, teóricamente que se extiende hasta el infinito en direcciones tanto positivas como negativas desde cero, que muestra el orden relativo de los números reales.

explanation:

what is the number line

An example of a number line is what a math student can use to find the answer to addition and subtraction questions. A straight line, theoretically extending to infinity in both positive and negative directions from zero, that shows the relative order of the real numbers.

Answer:

169

Step-by-step explanation:

i hope this helps

Answer:

398

Step-by-step explanation:

100%-76%= 24% which should be the 96 percent that chose purple

94÷24%= 3.91(4 because it's rounded) students per percentage

4×76%=304 that chose blue if rounded

94+304=398 total

Given m || n, the calculaed values of x and y are x = 1 and y = 19

From the question, we have

Lines m and n are parallel

By the theorem of vertical angles, we have

9x - 10 = 4x - 5

When evaluated, we have

5x = 5

Divide by 5

So, we have

x = 1

By corresponsing angles, we have

4x - 5 = y - 20

So, we have

4(1) - 5 = y - 20

This gives

-1 = y - 20

So, we have

y = 19

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Answer: Kelinatra (x) worked 5 hours and Samantha (y) worked 6 hours

Step-by-step explanation:

     We will use the variables x and y the question provides. We know the time worked by each person added together will equal the combined total time. We can write an equation to show this using addition.

        x + y = 11 hours

     Next, we know that Keilantra ironed 30 per hour, Samantha ironed 15 per hour and that they ironed 240 shirts. We can write another equation to represent this using addition and multiplication.

     30x + 15y = 240

     Next, we will graph these two equations. See attached. The solution is the point of intersection written as (x, y). This is (5, 6) meaning that Kelinatra (x) worked 5 hours and Samantha (y) worked 6 hours.

Answer:answer is b

Step-by-step explanation:it’s miles per hour not hours per mile

To graph a line on the plane, one needs two points on it and then crosses them using a straight line.

Finding two points on each line,

And,

Graphing both lines on the plane,

The solution is the intersection point of both lines; thus, the answer is (-2,-2)

Answer:

20

Step-by-step explanation:

E = 32 + 1.40b

Since E is earnings, set E equal to $60 and solve for b for bouquets.

60 = 32 + 1.40b

60 - 32 = (32 + 1.40b) - 32

28 = 1.40b

28/1.4 = (1.40b)/1.40

20 = b

Natalie needs to make 20 additional bouquets.

hi pls where can I get physics questions on checking the correctness of an equation using dimensional analysis

Answer:

Step-by-step explanation:

it will be 59,000 because i add it all up

according to my answer this is wrond because you are wrong

Step-by-step explanation:

palhschal pagal

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer:

C

Step-by-step explanation:

so you will need to figure out the differences also is it 9 meters and 40 centimeters?? if thats the case it is

Answer:

C

Step-by-step explanation:

9.40 x 1000 = C