Find the mad for this set of data.
swim team
name
age (years) mean
absolute
deviation
1
3
9
10
maddox
enrique
13
10
gloria
9
10
1
mckenna
10
.
10
0
10
10
0
mad =
?
✓ done
asher
hannah
danielle
9
10
1
10
10
0
katy
10
10
0
11
10
1
timothy
gentry
9
10
1

The solution for the given equation X^3 + Y^2 = 971,028. So, option A is correct.

A multiple of a number is the number whose remainder is 0 when divided by the given number.

Consider 'a' as the multiple of a number 'n'.

Then, a ÷ n = b (and remainder = 0)

It is given that,

X = largest 2-digit multiple of 3 which is not a multiple of 5

⇒ X = 99

Y = smallest 2-digit multiple of 9 which is not a multiple of 6

⇒ Y = 27

Then, substituting the values in the given equation,

= X^3 + Y^2

= (99)³ + (27)²

= 970,299 + 729

= 971,028

Therefore, the value of the given equation is 971,028.

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The radius of convergence is 1. To find the radius of convergence for the series ∑ (n=1 to ∞) \(n!x^n\), we can use the ratio test. The ratio test states that for a series ∑ a_n, if the limit of |a_(n+1)/a_n| as n approaches infinity exists, then the series converges if the limit is less than 1, and diverges if the limit is greater than 1.

Let's apply the ratio test to the given series:

a_n = \(n!x^n\)

a_(n+1) = \((n+1)!x^(n+1)\)

|a_(n+1)/a_n| =\(|(n+1)!x^(n+1)/(n!x^n)|\)

             = |(n+1)x|

Taking the limit as n approaches infinity: lim(n→∞) |(n+1)x| = |x|

For the series to converge, we need |x| < 1. Therefore, the radius of convergence is 1.

Hence, the series converges for |x| < 1, and diverges for |x| > 1. When |x| = 1, the series may or may not converge, and further analysis is needed.

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The distance between the highest and lowest points in new york is given by 11,774 m.

In order to find the distance between the highest and lowest points in new york, calculate the difference between the highest point and the lowest point.

Distance between the highest and lowest points in new york = Highest points in New York - Lowest points in New York

= 6,850 m - (-4,924 m)

= 6,850 m + 4,924 m

= 11,774 m

Therefore, 11,774 m is the distance between the highest and lowest points in new york

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The data collected from the customers in restaurants about the quality of food is an example of a(n); Observational Study

There are four types of statistical studies namely;

Observational studies

Surveys

Experiments

Meta-analytical studies.

1) An observational study involves observing and recording data on some variable(s) of interest.

2) A (sample) survey uses questioning to gather data.

3) An experiment also referred to as experimental study attempts to give an answer to a statistical question by manipulating all or part of the sample.

Now, we are told that some data was collected from the customers in restaurants about the quality of food.

This is a type of observational study because it involves observing and recording data on an interest which is quality of food

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Answer: Supplementary Angles. Two Angles are Supplementary when they add up to 180 degrees.

Step-by-step explanation:

Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation:

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:

40

Step-by-step explanation:

use your brain, if you can't get it, pls comment

Beat one out there

sin theta =  3.7/4.4

10.8 sin theta time 4.4 =40

Answer:

B) 2(y-3)=7+2y-3

Step-by-step explanation:

2(3y-1)=7-6y-2

6y-2=7-6y-2

6y-(-6y)-2=7-2

6y+6y-2=5

12y-2=5

12y=5+2

12y=7

y=7/12

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

2(y-3)=7+2y-3

2y-6=2y+4

2y-2y-6=4

0-6=4

-6=4

no solution

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

2(3-2y)=7+4y-2

6-4y=4y+5

6-4y-4y=5

6-8y=5

8y=6-5

8y=1

y=1/8

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

2(3y-2)=7-6y-2

6y-4=5-6y

6y-(-6y)-4=5

6y+6y=5+4

12y=9

y=9/12=3/4

Answer:

answer is A

hope it helps

Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

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Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

Answer:

Assuming that the person does not account for probability changes when counters are not replaced, the answer is 20 counters.

Step-by-step explanation:

Please refer to the picture above.

Disclaimer: Probability is not used to deduce the question. The knowledge of fraction is used instead to avoid excess complexity.

Assuming the number of dabbed counters follow the ratio of 1/4 as deduced from the number of dabbed counters in 200 counters, you would expect the number of dabbed counters in 80 counters to follow the same ratio of 1/4. Hence the answer is 20.

Todd can afford to pay 390 per month for the next 7 years in order to purchase a new car. the interest rate is 6.8 percent compounded monthly. The value of the most Todd can afford to pay for a new car today is 24,708.07. The correct option is d. 24,708.07.

To calculate this, we can use the present value formula for a monthly compounded loan:

\(PV = PMT \times ((1 - (1 + r/n)^(-nt))/(r/n)),\)

where PV is the present value or the amount that Todd can afford to pay for a new car today PMT is the monthly payment (390) n is the number of times the interest is compounded in a year (12 for monthly) r is the annual interest rate (6.8%) t is the total number of years (7)

Now, we can substitute the values and solve for PV:

\(PV = 390 \times ((1 - (1 + 0.068/12)^(-12\times7))/(0.068/12))

            = 24,708.07\)

Therefore, Todd can afford to pay 24,708.07 for a new car today.

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a. Sylvia can buy a maximum of 6 movie tickets in a week.

b. Sylvia can buy a maximum of 2 pizzas in a week.

c. Sylvia can buy 6 movie tickets with her budget, the opportunity cost of purchasing a pizza is 6 movie tickets.

a. To find the maximum number of movie tickets Sylvia can buy in a week, we need to divide her weekly budget by the price of each ticket.

Number of movie tickets = Weekly budget / Price of a movie ticket

Number of movie tickets = $24 / $4

Number of movie tickets = 6

Sylvia can buy a maximum of 6 movie tickets in a week.

b. To find the maximum number of pizzas Sylvia can buy in a week, we need to divide her weekly budget by the price of each pizza.

Number of pizzas = Weekly budget / Price of a pizza

Number of pizzas = $24 / $12

Number of pizzas = 2

Sylvia can buy a maximum of 2 pizzas in a week.

c. The opportunity cost of purchasing a pizza refers to the value of the next best alternative that Sylvia gives up when choosing to buy a pizza. In this case, since Sylvia has a fixed budget, the opportunity cost of purchasing a pizza would be the number of movie tickets she could have bought instead.

Since Sylvia can buy 6 movie tickets with her budget, the opportunity cost of purchasing a pizza is 6 movie tickets.

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Answer:

\(900 \pi\) square meters

Step-by-step explanation:

Given:

diameter \(d=30m\)

radius \(r=\frac{d}{2}=15m\)

using the formula for surface area of sphere, we get:

\(area_s=4\times \pi \times r^2\)

\(=4\times\pi \times 15^2\\\\=900\times \pi m^2\)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin^-1(7/16)= 25.9 degrees

Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

The correct option is B. 0-9 and 60-69.

For the frequency distribution graph about people who regularly use a specific cell phone app, the two age groups are least likely to use this app is 0-9 and 60-69.

The frequency distribution is a graphical or tabular representation that depicts the number of observations inside a specific interval. The interval size is determined by the data being examined and the analyst's objectives.

Some key features regarding the frequency distribution are-

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The complete question is-

View the frequency distribution graph about people who regularly use a specific cell phone app. Which two age groups are least likely to use this app?

A. 0-9 and 10-19

B. 0-9 and 60-69

C. 10-19 and 20-29

D. 10-19 and 50-59

Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

1. The area of one rhombus is 1.875 square inches.

2. The area of the entire logo is 9.375 square inches.

From the question, we have the following parameters that can be used in our computation:

Shape = rhombus

Where we have the diagonals to be 2.5 inches and 1.5 inches

The area of one rhombus is calculated as

Area = product of dimensions/2

Substitute the known values in the above equation, so, we have the following representation

Area = 2.5 * 1.5/2

Area = 1.875

We know that there are 5 shapes

So, we have

Area = 1.875 * 5

Evaluate

Area = 9.375

Hence, the area of the entire logo is 9.375

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The dimensions of the model bed Kathy built are 0.6 ft × 1 ft.

To determine the dimensions of the model bed, Kathy scaled down the dimensions of her own bed by a factor of 1/5.

This means that each side of the model bed is 1/5th the length of the corresponding side of her bed. Since the original bed is 3 ft × 5 ft, when scaled down by a factor of 1/5, the dimensions become (3 ft × 1/5) × (5 ft × 1/5), which simplifies to 0.6 ft × 1 ft.

Therefore, the dimensions of the model bed Kathy built are 0.6 ft × 1 ft. This ensures that the proportions of the model bed are consistent with her own bed, just smaller in size.

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The reliability of a system can be affected by how the individual components are arranged, such as in series or parallel. Reliability refers to the probability that a system will perform its intended function without failure over a given period of time.

The reliability of a system can be affected by how the individual components are arranged. There are different ways to arrange components in a system, and each arrangement can affect the overall reliability of the system differently.

When components are arranged in series, the system will only function if all the components are working properly. The reliability of the system in this case is the product of the individual component reliabilities. In other words, if any one of the components fails, the entire system will fail.

When components are arranged in parallel, the system will function as long as at least one of the components is working properly. The reliability of the system in this case is calculated as the complement of the probability that all components fail simultaneously.

In the case of replacement, redundant components are used to replace failed components, and the system continues to function with minimal interruption. The reliability of the system in this case will depend on the reliability of the replacement components, as well as the time it takes to replace a failed component.

Relays are used to control the flow of power or signals in a system. The reliability of a system that uses relays will depend on the reliability of the relays, as well as the design of the relay logic.

In general, reliability refers to the probability that a system will perform its intended function without failure over a given period of time. It is closely related to the quality of the system, as a system with high reliability is expected to have fewer failures and require less maintenance over the long run.

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Answer:

Final cost is 817.76

Step-by-step explanation:

First find the amount of the tax

760 * 7.6%

760 * .076

75.76

Add this to the cost of the bike

760+57.76

817.76

Answer:

The answer would be 18.

Step-by-step explanation:

x - 8 + 2y

=

14 - 8 +2(6)

=

18

Answer:

12 cm^2

Step-by-step explanation:

Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

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