Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
frequency data that can be plotted on a number line

Answer:

answer is yes,yes, no

Step-by-step explanation:

The area of the rectangular carpet is equivalent to 397.7 ft².

        Area = Length x Breadth

        [A] = [L] x [B]

Given is that the length of the carpet is 24.25 feet and the width is 16.4 feet.

The area of the rectangle is equivalent to -

A = L x B

A = 24.25 x 16.4

A = 397.7 ft²

Therefore, the area of the rectangular carpet is equivalent to 397.7 ft².

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Defensive driving isn't just about reacting to the unknown. It's about removing the unknown by planning ahead and anticipating potential hazards.

Defensive driving is a proactive approach to staying safe on the road. It involves actively identifying and addressing potential risks and hazards before they become emergencies. In essence, defensive drivers plan ahead and take steps to minimize the likelihood of accidents or dangerous situations. They maintain a safe following distance, anticipate the actions of other drivers, and constantly scan their surroundings for potential threats. By doing so, they gain more time to react to unexpected events and can make better decisions to avoid collisions or other dangerous outcomes.

Defensive driving techniques and how they can enhance road safety. Understanding the principles of defensive driving can help drivers develop better habits and become more aware of their surroundings. It emphasizes the importance of maintaining focus, avoiding distractions, and staying alert at all times while behind the wheel. Defensive driving techniques also teach drivers to adapt to changing road conditions, weather situations, and traffic patterns. By actively practicing defensive driving, individuals contribute to creating a safer driving environment for themselves and others.

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Answer: 65

Step-by-step explanation:
1 + 64 = 65

\( \alpha = \frac{3\pi}{4} r {}^{2}\)

\( \alpha = \frac{3 \times 3.14}{4} \times (2) {}^{2} \)

\( \alpha = 9.42\)

Area=3π if you want it in radians :)

Answer:

Step-by-step explanation:

Take a triangle ABC, in which AB=AC.

Construct AP bisector of angle A meeting BC at P.

In ∆ABP and ∆ACP

AP=AP[common]

AB=AC[given]

angle BAP=angle CAP[by construction]

Therefore, ∆ABP congurent ∆ACP[S.A.S]

This implies, angle ABP=angleACP[C.P.C.T]

Complete question :

How many years, to the nearest tenth, will be needed for $5000 to increase to $18000 at 3.0% annual interest compounded monthly

Answer:

Step-by-step explanation:

Initial amount (P) = 5000

Final amount (A) = 18000

Interest rate (r) = 3% = 0.03 compounded monthly

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

n = number of compounding timea per period

18000 = 5000(1 + 0.03 / 12)^12t

18000 / 5000 = (1 + 0.0025)^12t

3.6 = (1 + 0.0025)^12t

3.6 = 1.0025^12t

Take the In of both sides

1.2809338 = 1.03t

t = 1.2809338 / 1.03

The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

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The correct answer for the above question will be, Option D) Confidence interval will become wider if the sample size is decreased.

The standard error of the mean grows as the sample size decreases. The standard error of the mean is a measure of the variability of sample means that is proportional to sample size. The standard error increases as the sample size decreases, resulting in a broader confidence interval. As a result, when the sample size decreases, the confidence interval grows broader.

A confidence interval is a set of values that, with a high degree of certainty, include the real population parameter. It is determined by taking into account the sample size, standard deviation, and degree of confidence. The broader the confidence interval, the less exact the population parameter estimate.

Therefore, Option D. Confidence interval will become wider if the sample size is decreased is the correct answer.

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23

Explanation

Complementary angles are pair angles with the sum of 90 degrees, so we can say that

are complementary angles, therefore

Step 1

so,we need to equals to 90 and solve for x

so, the answer is

23

I hope this helps you

Answer:

Step-by-step explanation:

\(\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\\)

Answer

\(59/37\)

Explanation

\(1+\frac{2}{3+\frac{4}{5+6} }\)

\(1+\frac{2}{3+\frac{4}{11} }\)

\(1+\frac{2}{\frac{3}{1} +\frac{4}{11} }\)

\(1+\frac{2}{\frac{33}{11} +\frac{4}{11} }\)

\(1+\frac{2}{\frac{37}{11} } }\)

\(1+2 \times \frac {11}{37}\)

\(1+\frac{22}{37}\)

\(1\frac{22}{37}\)

\(\approx 1.594594594594594594594594594594595\)

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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Answer:

after 10days savannah will have 31 pennies

Step-by-step explanation:

arithmetic progression (AP)

(a1) started with, 5 pennies

common difference (d), 3 pennies

formula: Tn = a + (n-1)d

after 10 days, T10 = 5 + (10- 1)(3)

T10 =5 + 27

T10= 31

therefore after ten days savannah has 31 pennies

Hey there!

Let's solve this equation.

\(-6x-10=-40\)

Add 10 to both sides.

\(-6x-10+10=-40+10=-6x=-30\\-6x=-30\)

Divide both sides by by -6.

\(\frac{-6x}{-6} =\frac{-30}{-6}\)

Simplify the fraction by dividing -30 by -6.

\(-30/-6=5\\ x=5\)

x=5 is your answer.

Hope this helps!

\(\text{-TestedHyperr}\)

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

Answer:

27x+49

Step-by-step explanation:

1. Start by distributing the 5 to 6x+9. This means to multiply 6x and +9 by 5.

6x times 5 = 30x

5 x 9 = 45.

5(6x+9) simplifies to 30x+45

2. Rewrite the expression as 30x+45-3x+4

3. Combine like terms.

30x - 3x = 27x

45 + 4 = 49

27x+49

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.

A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.

Given that the number is 27.430. The expanded form of the number is written as:-

Expanded form:-

27.430 = 20 + 7 + 0.400 + 0.30.

When we add all the values of the expanded form we will get the previous value.

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Answer:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Answer:

A is a lie

B and C are both truths

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The chance of pulling a 4 and a club is 0.0637

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

A standard deck of cards

In a standard deck of cards, we have

Cards = 52

Number of 4's = 13

Number of clubs = 13

Selecting 4 and c back to back from a deck of cards, if you do not replace the card, we have

P = 13/52 * 13/51

Evaluate

P = 0.0637

Hence, the probability is 0.0637

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The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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The probability that the mean weight of the sample babies would differ from the population mean by less than 54 grams is 0.4339.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 3316 grams - 54 grams = 3262

μ = mean = 3316 grams

σ = standard deviation = 324 grams

z-score = (3262 - 3316) / 324

z-score = -54 / 324

z-score = -0.1667

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = -0.1667

Using interpolation of values,

probability = 0.4339

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The symbol ∠ is used to denote an angle. The symbol m ∠ is sometimes used to denote the measure of an angle.

x = 15

∠H = 82

∠I = 49

∠G = 49

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like terms

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

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The question that needs to be answered is "A collection of 40 coins is made up of dimes and nickels and is worth $2.60. Find how many were dimes and how many were nickels. According to the solving 28 dimes and 12 nickels were there.

"Given, There are 40 coins in total. Let the number of nickels be x and the number of dimes be y. Then the total value of coins is $2.60, which can be expressed in terms of the number of nickels and dimes:x + y = 40 ...(1)0.05x + 0.10y = 2.60  ...(2)Multiplying the first equation by 0.05, we get:

0.05x + 0.05y = 2 ... (3)

Subtracting equation (3) from equation (2), we get:

0.10y - 0.05y

= 2.6 - 2

=> 0.05y

= 0.6

=> y = 12

We can use the elimination method to solve the equations.

Multiplying equation (1) by 0.05, we get:

0.05x + 0.05y = 2 ...(3)

Now, subtracting equation (3) from equation (2), we get:

0.10y - 0.05y = 2.60 - 2 => 0.05y = 0.6 => y = 12

Therefore, the number of dimes is 28 (40-12) and the number of nickels is 12. Answer: 28 dimes and 12 nickels were there.

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