What is the radius of a circle that has a circumference of 3.14 meters?

Answer:

please mark brainliest

as it's not in root form and root 1 Is 1 it is a rational number

Step-by-step explanation:

you can easily find if a number is rational or not for eg root 4

root 4 is 2 so it will be rational where as root 3 there is no answer.for root 3 unless it decimal so it irrational as well as pie is irrational

For the given logarithms, if \(x=\log_{3}4 \ and\ y=\log_{5}3\) then  \(\log_{3} 10 = \log_{3} 4 + \dfrac{1}{\log_{5} 3}$.\)

What is logaritm?

In mathematics, a logarithm (or log for short) is the inverse operation to exponentiation. It is used to solve for an unknown exponent in an exponential equation. The logarithm of a number y with respect to a base b is the exponent to which b must be raised to yield y.

We know that \($\log_{a} b = \dfrac{\log_{c} b}{\log_{c} a}$\) for any positive real numbers \($a$\), \($b$\), and \($c$\). Using this formula, we have:

\(\log_{3} 10 &= \log_{3} (2\cdot 5)\)

\(&= \log_{3} 2 + \log_{3} 5\)

\(&= \log_{3} 2 + \dfrac{\log_{5} 3}{\log_{5} 5}\)

\(&= \log_{3} 2 + \dfrac{1}{y}\)

Substituting the given values of \($x$\) and \($y$\), we get:

\(\log_{3} 10 &= x + \dfrac{1}{y}\)

\(&= \log_{3} 4 + \dfrac{1}{\log_{5} 3}\)

Therefore, \(\log_{3} 10 = \log_{3} 4 + \dfrac{1}{\log_{5} 3}$.\)

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Answer: 75 dollars

Step-by-step explanation:

220 times 2.5 is 550 which means you make 550 dollars. However, it cost 4575 dollars to make the candy bars because 220 times 1.25 is 275 and 275+200 is 475. You have to subtract 475 from 550 to get your answer which is 75 dollars.

Answer:

$75

Step-by-step explanation:

multiply total bars by cost 275+ 200=475

multiply total bars by sale price =550

Answer:

3/4 in 1/5 of 60 sec

1/5*60=12

3/4 in 12 seconds

3/4*5=15/4=3 3/4

He multiplied 3/4 by 1/5 instead of by its reciprocal , 5.

12/4=3

3 mph

Answer:

3/4 in 1/5 of 60 sec

1/5*60=12

3/4 in 12 seconds

3/4*5=15/4=3 3/4

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Value = 33000 ( .88)^t        each year, t , the value is only 88% ( or in decimal:  .88) of the prior year  ( 12 % decrease leaves 88% )

When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.

The probability measures how likely an event to occur. The probability of an event A is defined as:

P(A) = number of ways that event A can occur / all possible outcomes

In the given problem, let x be any number of die's face, then

number of ways x will show up = 1

all possible outcomes = 6

Hence,

P(x) = 1/6

Numbers that are less than 3 is 1 and 3. Therefore,

P (x<3) = P(1) + P(2)

P (x<3) = 1/6 + 1/6 = 2/6 = 1/3

Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3

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1.  This means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

2.  This means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

3. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

4.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

5.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

The smallest value in the data set is 4 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

The largest value in the data set is 48 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

The median is the middle value in the data set when arranged in ascending order. In this case, since we have 100 data points, the median would be the average of the 50th and 51st values. Looking at the given data, the median would be the average of 24 and 28, which is 26 miles per hour. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

The first quartile (Q1) represents the lower 25% of the data. To find Q1, we look for the value that separates the lowest 25% of the data. In this case, the first quartile is 12 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

The third quartile (Q3) represents the upper 25% of the data. To find Q3, we look for the value that separates the highest 25% of the data. In this case, the third quartile is 36 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

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Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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Answer:

x=27

Step-by-step explanation:

x-11=16

add 11 to both sides

x=27

Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

\(z=\dfrac{x-\mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 65\ \ \sigma= 3.5\)

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

\(z=\dfrac{x-\mu}{\sigma}\)

\(z = \dfrac{54.5-65}{3.5}\)

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

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The location of point - 17/8 and 13/8 is shown in figure.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The number line is shown in figure.

Two points are - 17/8 and 13/8.

Now,

Since, Two points are - 17/8 and 13/8.

⇒ - 17/8 = - 2.125

             = - 2 1/8

⇒ 13/8 = 1.625

           = 1 5/8

Thus, The location of point A = - 17/8

And, The location of point B = 13/8

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The average speed for the whole journey from Southhampton to Basingstoke is approximately 46.67 mph.

To calculate the average speed for the whole journey, we need to consider the total distance traveled and the total time taken. In this case, Anna drove 35 miles from Southhampton to Basingstoke.

Let's calculate the time taken for each segment of the journey:

For the first 5 miles, Anna drove at an average speed of 20 mph. The time taken for this segment can be calculated as follows:

Time = Distance / Speed

Time = 5 miles / 20 mph

Time = 0.25 hours

For the remaining 30 miles, Anna drove at an average speed of 60 mph. The time taken for this segment can be calculated as follows:

Time = Distance / Speed

Time = 30 miles / 60 mph

Time = 0.5 hours

Now, we can calculate the total time taken for the whole journey by summing up the times for each segment:

Total Time = Time for first segment + Time for second segment

Total Time = 0.25 hours + 0.5 hours

Total Time = 0.75 hours

Next, we calculate the average speed for the whole journey by dividing the total distance by the total time:

Average Speed = Total Distance / Total Time

Average Speed = 35 miles / 0.75 hours

Average Speed ≈ 46.67 mph

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1.The total number of students in the class is 36, with 20 dual-enrolled and 16 not dual-enrolled. Since we are selecting without replacement, after the first student is selected, there will be 35 students remaining, with 19 dual-enrolled and 16 not dual-enrolled. Therefore, the probability of selecting a dual-enrolled student first is 20/36. After the first student is selected, there will be 19 dual-enrolled students left out of the remaining 35 students. Hence, the probability of selecting a second dual-enrolled student is 19/35.

P(Both Students are Dual-Enrolled) = (20/36) × (19/35) = 380/1260 = 19/63 ≈ 0.302

2.The probability of selecting a dual-enrolled student first is 20/36, and after the first student is selected, there will be 16 not dual-enrolled students left out of the remaining 35 students. Hence, the probability of selecting a not dual-enrolled student second is 16/35.

P(1st Student is Dual-Enrolled and the 2nd Student is Not) = (20/36) * (16/35) ≈ 0.263

Moving on to the second part of your question:

3.From the contingency table, we need to find the probability of selecting a female student who lives off-campus. Looking at the table, the count for Female and Off Campus is 32.

The total number of participants in the sample is 135.

P(Female and Off Campus) = 32/135 ≈ 0.237

4.From the contingency table, we need to find the probability of selecting a male student who lives on campus. Looking at the table, the count for Male and On Campus is 54.

The total number of participants in the sample is 135.

P(Male and On Campus) = 54/135 ≈ 0.400

5. From the contingency table, we need to find the probability of selecting a participant who either lives off-campus or is male. This includes the counts for Female and Off Campus, Male and Off Campus, and Male and On Campus. The total count for these categories is 32 + 24 + 54 = 110.

The total number of participants in the sample is 135.

P(Off Campus or Male) = 110/135 ≈ 0.815

6.From the contingency table, we need to find the probability of selecting a participant who either lives on campus or is female. This includes the counts for Female and Off Campus, Female and On Campus, and Male and On Campus. The total count for these categories is 32 + 29 + 54 = 115.

The total number of participants in the sample is 135.

P(On Campus or Female) = 115/135 ≈ 0.852

7.From the contingency table, we need to find the probability of selecting a student who identifies as independent. Looking at the table, the count for Student and Independent is 160.

The total number of participants in the sample is 426.

P(Student and Independent) = 160/426 ≈ 0.376

8. From the contingency table, we need to find the probability of selecting a participant who identifies as a Republican and is a professor. Looking at the table, the count for Republican and Professor is 45.

The total number of participants in the sample is 426.

P(Republican and Professor) = 45/426 ≈ 0.106

9. From the contingency table, we need to find the probability of selecting a participant who identifies as a Democrat or is a professor. This includes the counts for Democrat and Student and Democrat and Professor. The total count for these categories is 137 + 46 = 183.

The total number of participants in the sample is 426.

P(Democrat or Professor) = 183/426 ≈ 0.429

10. From the contingency table, we need to find the probability of selecting a participant who identifies as a Democrat or is independent. This includes the counts for Democrat and Student and Independent. The total count for these categories is 137 + 176 = 313.

The total number of participants in the sample is 426.

P(Democrat or Independent) = 313/426 ≈ 0.734

11.From the contingency table, we need to find the probability of selecting a participant who identifies as a Republican and is independent. Looking at the table, the count for Republican and Independent is 12.

The total number of participants in the sample is 426.

P(Republican and Independent) = 12/426 ≈ 0.028

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Answer:

a

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

68 divided by 80 is equal to 68/80.

Divide top and bottom by 4 to get 17/20.

17 divided by 20 is 85%

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

6X/X^2-2X+1

Step-by-step explanation:

x

2

−3x+2

9x

2

+18x

​

÷

2x−4

3x

2

+3x−6

​

Divide  

x

2

−3x+2

9x

2

+18x

​

 by  

2x−4

3x

2

+3x−6

​

 by multiplying  

x

2

−3x+2

9x

2

+18x

​

 by the reciprocal of  

2x−4

3x

2

+3x−6

​

.

(x

2

−3x+2)(3x

2

+3x−6)

(9x

2

+18x)(2x−4)

​

Factor the expressions that are not already factored.

3(x−2)(x+2)(x−1)

2

2×9x(x−2)(x+2)

​

Cancel out 3(x−2)(x+2) in both numerator and denominator.

(x−1)

2

2×3x

​

Expand the expression.

x

2

−2x+1

6x

​

Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)

What is Combinatorics?

Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.

To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.

There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.

First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.

Number of ways to choose 3 suits out of 4: C(4, 3) = 4

Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)

Therefore, the number of favorable outcomes is \(4 * (13^3).\)

Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:

Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)

This value can be simplified and expressed as a decimal or a percentage depending on the desired format.

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Answer:

−1 < x < 4

Hoped this helped ⊂◉‿◉つ

Answer:

x = ±2

Step-by-step explanation:

Move the 3 to the left side of the equation by subtracting it. This way, you get:

2=|x|.

Because x is an absolute value, that means the value of x can be negative or positive. That is why there is a "±" symbol beside the 2 in the answer.

Answer:

-2/3

Step-by-step explanation:

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The required length of altitude q in centimeters is 8 cm.

The geometric mean theorem for triangles states that if we draw an altitude from the vertex of the right angle of a right triangle, then the length of the altitude is the geometric mean of the lengths of the two segments of the hypotenuse that are adjacent to the altitude.

Here,
From the above definition,
q² = 4 × 16
q = √[4×16]
q = 8

Thus, the required length of altitude q in centimeters is 8 cm.

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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The image attached shows a linear equation passes in the following points:  (0,5) and (-5/3,0).

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=10x+5. Where:

m= the slope. It can be calculated for Δy/Δx.

b= the constant term that represents the y-intercept.

For the given example: m=10 and b=5.

A linear function presents an x-intercept and a y-intercept. The x-intercept represents the point (x,0) that the line crosses the x-axis, on the other hand, the y-intercept represents the point that crosses the y-axis (0,y).

The question gives: 3x-y= -5.

For finding the x-intercept, you need to consider y=0, then:

3x-y= -5

3x-0= -5

3x=- 5

x=-5/3

For finding the y-intercept, you need to consider x=0, then:

3x-y= -5

3*0-y= -5

-y= -5

y=5

Now, plot a line that passes for the points (0,5) and (-5/3,0)

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Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°