Find the discount rate if the retail price of an item is $70 and its sale price is $42.

Answer:

0.00127

................

Answer:

the answer is 27/1000. I think

Step-by-step explanation:

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

100+20=120

Lets do one by one

#A

\(\\ \rm\longrightarrow 2(50+10)=100+20=120\)

#B

\(\\ \rm\longrightarrow 5(20+4)=100+20=120\)

#C

\(\\ \rm\longrightarrow 10(10+2)=100+20=120\)

#D

\(\\ \rm\longrightarrow 10(10+3)=100+30=130\checkmark\)

We can clearly see Option D is not equivalent to 100+20

Answer:

D.

Step-by-step explanation:

we can clearly see that 10×10+10×3

=100+

30=

130.

all other expressions add up to 120(100+20)

I hope this helps you

please mark me as brainliest

The required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

As given in the question, for the ordered pairs given {(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)} domain and range of the system is to be determined.

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given the ordered pair are,
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}

Values in the place of abscissa x and ordinate y are the value of a set of domains and ranges respectively.
So domin =  {-5, -4, -2, 0, 1}
and range =  {4, -4, 1, 4, 3}

Thus, the required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

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Answer

It is the second one 1 -4

Step-by-step explanation:

Answer:

LETTER C

Step-by-step explanation:

OWWWWWWWWWWWWWWWW

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

Answer:

Tan(x) = 1/\(\sqrt{3}\)

We know that Tan 30 = 1/\(\sqrt{3}\)

Therefore, x = 30 degrees

The mode frequency can be a useful tool for understanding the distribution of the data and identifying any outliers or anomalies in the data set.

The mode frequency of the age variable refers to the most frequently occurring age in a given set of data. This measure of central tendency is particularly useful when working with categorical data, such as age ranges.

To calculate the mode frequency, one must first organize the data into a frequency distribution table, which lists all the different ages and the number of times each occurs. The age with the highest frequency is then considered the mode frequency.

For example, if there are 100 individuals in a data set and the ages range from 20 to 60, we would organize the data into age ranges, such as 20-29, 30-39, etc. Then we would count how many individuals fall into each age range and record this information in the frequency distribution table.

If the age range with the highest frequency occurs more than once, we have a multi-modal data set. On the other hand, if there is only one mode frequency, the data set is considered unimodal.

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Answer:

400/2.5 = 720/x

400x = 720 x 2.5

x = 4.5

Step-by-step explanation:

The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide  the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720

Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.

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For the function f(x, y, z) = xyz and the solid region Q defined as Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3}, we can write the triple integral in six different orders of integration.

Each order represents a different sequence of integrating with respect to the variables x, y, and z. One of the triple integrals will be evaluated.

The six possible orders of integration for the triple integral of f(x, y, z) = xyz over the solid region Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3} are as follows:

dz dy dx: Integrate first with respect to z, then y, and finally x. The limits of integration are z = 0 to z = 3, y = 0 to y = 7x, and x = 0 to x = 1.

dz dx dy: Integrate first with respect to z, then x, and finally y. The limits of integration are z = 0 to z = 3, x = 0 to x = 1, and y = 0 to y = 7x.

dx dz dy: Integrate first with respect to x, then z, and finally y. The limits of integration are x = 0 to x = 1, z = 0 to z = 3, and y = 0 to y = 7x.

dx dy dz: Integrate first with respect to x, then y, and finally z. The limits of integration are x = 0 to x = 1, y = 0 to y = 7x, and z = 0 to z = 3.

dy dz dx: Integrate first with respect to y, then z, and finally x. The limits of integration are y = 0 to y = 7x, z = 0 to z = 3, and x = 0 to x = 1.

dy dx dz: Integrate first with respect to y, then x, and finally z. The limits of integration are y = 0 to y = 7x, x = 0 to x = 1, and z = 0 to z = 3.

Now, let's evaluate one of the triple integrals, specifically the one with the order of integration dz dy dx:

∫∫∫xyz dz dy dx over the limits z = 0 to 3, y = 0 to 7x, and x = 0 to 1.

By evaluating this triple integral, we can find the numerical value of the integral and hence the answer to the specific computation.

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Using the inclusion-exclusion principle the number of arrangements can be 1080069120.

I denote the complement of a set X by X' its cardinality by ∣X∣ and the universal set by S

The number of unrestricted arrangements of these 11 people.

Americans can seat in:

A  = 9! * 4!

Russians can seat in:

And Chinese can seat is:

Now, we calculate ∣A∩R∣. In this case,

By the principle of inclusion and exclusion, we have:

Therefore, using the inclusion-exclusion principle the number of arrangements can be 1080069120.

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Answer:

{5,7,8}

Step-by-step explanation:

A-B = {2,4,6} => A={2,4,6}

B - A = {0,1,3} => B= {0,1,3}

A∪B = {0,1,2,3,4,5,6,7,8}

=> A = {2,4,5,6,7,8}

B= {0,1,3,5,7,8}

=> A∩B = {5,7,8}

The percent change in the price of the lawnmower over the 2 years is -8.1%.

To find the percent change in the price of the lawnmower over the 2 years, we can use the formula:

percent change = (new value - old value) / old value * 100%

Plugging in the values given in the problem, we get:

percent change = (329.99 - 358.99) / 358.99 * 100%

percent change = -8.1%

Therefore, the percent change in the price of the lawnmower over the 2 years is -8.1%. Note that the negative sign indicates a decrease in price.

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Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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The vector equation for the line of intersection of the two planes is:

r = <x, y, z> = <t, -3t + 4z, z>

To determine whether the two planes intersect, we can solve the system of equations formed by the two planes.

Let's denote the planes as Plane 1 and Plane 2:

Plane 1: 2x + 2y - z = 1

Plane 2: x + 3y + 2z = 2

Using the elimination method of equation:

Multiply the first equation by 2 to eliminate the x term:

4x + 4y - 2z = 2

Eliminating the x term by subtracting the second equation from this equation:

(4x + 4y - 2z) - (x + 3y + 2z) = 2 - 2

3x + y - 4z = 0

We now have a new equation:

3x + y - 4z = 0

To find the line of intersection, we need to express x, y, and z in terms of a parameter (t). Let's solve for x and y in terms of z using the equation 3x + y - 4z = 0:

3x + y = 4z

y = -3x + 4z

Now, let's express x, y, and z in terms of t:

x = t

y = -3t + 4z

z = z

Therefore, the vector equation for the line of intersection of the two planes is:

r = <x, y, z> = <t, -3t + 4z, z>

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Answer:

The axis of symmetry is x= 3/4

Answer:

180m cubed

Step-by-step explanation:

Multiply the length, width, and height together: 6×6×5=180

Answer:

Formula of a rectangular prism:

L x W x H

Now we place in the numbers and solve:

5 x 6 x 6 = 180 m3

Answer:

58

Step-by-step explanation:

To get the average, you add all of the numbers and then divide by the amount of numbers.

51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.

581 ÷ 10 = 58.1

Then, rounding 58.1 is 58

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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From the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Expressing T2 in terms of S, and S2 will be T2 = S + S2.

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Answer:

fits under statistics category (also probability or math :\)

Step-by-step explanation:

What is the equation of the line that is parallel to the

given line and passes through the point (-2, 2)?

O y = x +4

O y = kx + 12

O y=-5x + 4

O y = -5x + 12

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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it is sometimes called as response variable

Answer:

x = y + 3

Step-by-step explanation:

y = x - 3 ( add 3 to both sides )

y + 3 = x , that is

x = y + 3

Answer:it's 16 or 4 I can't confirm

Step-by-step explanation:

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)

The initial height is \(h(0) = 15\), hence, one turn is completed when h(t) = 15.

\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)

\(15 = 15\cos{\left(\frac{\pi}{20}t\right)}\)

\(\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}\)

\(\cos{\left(\frac{\pi}{20}t\right)} = 1\)

The length of one turn is of \(2\pi\), and \(\cos{(2\pi)} = 1\), hence, the solution is found according to:

\(\frac{\pi}{20}t = 2\pi\)

\(t = \frac{40\pi}{\pi}\)

\(t = 40\)

It takes 40 seconds to complete one turn.

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Answer:

D. 40 seconds!! Props to guy above.

Answer:

see attachement

Step-by-step explanation:

Answer:

No Answer

Step-by-step explanation:

It simplifies to -9=10 which is not correct.