A sector of a circle has a central angle of 330°. Find the area of the sector if the radius of the circle is 8 inches. Give an exact answer.

The probability that the person selected will be someone whose response is never and who is a woman is of:

0.0636 = 6.36%.

In the context of a problem, a probability of an event is obtained as the division of the number of desired outcomes in the problem by the number of total outcomes in the problem.

In the context of this problem, these outcomes are given as follows:

Hence, as all participants represent the desired outcomes, the probability that the person selected will be someone whose response is never and who is a woman is the relative frequency of people who are women and who respond never, which is of:

0.0636 = 6.36%.

The table with the relative frequencies is given by the image shown at the end of the answer.

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The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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Answer:

2 unique triangles

Step-by-step explanation:

We can only form two triangles

Since two of the sides are equal, we can form two isosceles triangles

The first one will have 10, 10 , the last side, then 40, 70 , 70 as the internal angles

Just note that the angles must add up to be 180 and that there are two equal angles as we are dealing with an isosceles triangle

The second form is 10, 10 , 40 , 40 and 100

Here, we have the 40 on the sides of the base of the isosceles triangle with the measure 100 being the last angle

The number of unique triangles that can be formed with he given parameters are; 2

We are told that;

Two side lengths of the triangle = 10 cm

One angle = 40°

Now, the two equal angles could be 40° each.

Thus;

Third angle of the triangle = 180 - 2(40) = 100°

(180 - 40)/2 = 140/2

>> 70°

Thus, we can make 2 unique isosceles triangles.

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Answer:

-24

Step-by-step explanation:

12m+60=6m-84

-6m -60   -6m - 60

6m/6 =m

-144/6= -24

m=-24

Answer:

Yes

Step-by-step explanation:

Isosceles triangle with base of 3 units and sides of 5 units

Answer:

yes

Step-by-step explanation:

use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle

Answer:

You have to look closely and you will find The letters D and C on the bottom of the triangle. D is kinda on the right and C is on the left. Hope this helps.

Step-by-step explanation:

One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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Answer:

c

Step-by-step explanation:

Answer:

The Answer is D X=1/2,4

Step-by-step explanation:

Answer:

Y=3x-13

Step-by-step explanation:

y = 2x - 13

It's not 3x - 13

The population density of the neighborhood of 1250 people in people per square mile is 1534 people per square mile

Population density is the number of people per unit area of a location.

The population density is the number of people per square mile in the neighborhood

The population of the neighborhood = 1,250 people

The number of city blocks in the neighborhood = 30

The length of each city block = (1/16) mile

The width of each neighborhood = (1/8) mile

The area of each neighborhood = (1/16) × (1/8) = 1/128 square miles

The area of the whole neighborhood = 30 × 1/128 = 15/64 square miles

The population density = 1250/(15/64) = 16,000/3 ≈ 5334 people per square mile (rounding up)

The number of people per square mile, the population density, therefore is 5333 people per square mile

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Answer:

e = -2 + v + f

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

v + f - e = 2

Step 2: Solve for e

c/ 99% of the calculated intervals will contain mu.
Confidence intervals are constructed using the sample mean and the margin of error, which is determined by the level of confidence and the standard deviation of the population (or the sample, if the population standard deviation is unknown). In this case, the sample mean is x-bar = 35 and the level of confidence is 99%, which corresponds to a Z-score of +/- 2.58.

The confidence interval for mu can be calculated using the formula:

CI = x-bar +/- Z * (standard deviation / sqrt(sample size))

Since the population standard deviation is unknown, we can use the sample standard deviation as an estimate. Assuming a sample size of at least 30 (which is a common rule of thumb), the standard deviation can be estimated as s = 1.

Plugging in the values, we get:

CI = 35 +/- 2.58 * (1 / sqrt(30)) = 35 +/- 0.53

Therefore, the confidence interval for mu is (34.47, 35.53). This means that we are 99% confident that the true value of mu lies within this interval.

Based on this analysis, we can conclude that the probability that mu = 35 is not a fixed value, but rather a range of values. Specifically, there is a 99% chance that mu falls within the confidence interval of (34.47, 35.53). Therefore, answer choice c is the correct answer.

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Answer:

Volume=length*wide*height

1st volume:1 ½*3*1=3/2×3=9/2 not equal

2nd volume: 2*2*1 ½=4*3/2=6units not equal

3rd volume: 1 ¼*4*1=5/4*4=5units equal

4th volume :2*1*2=4units not equal

third one is a required answer.

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.

A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.

In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.

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Complete Question:

Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?

A. the overview of the situation

B. a solution to the problem

C. an effect of the solution

D. an effect of the problem

Answer:

B - a solution to the problem

took on edge

Answer:

79.23

Step-by-step explanation:

Add all up and divide by how many are there to find the mean

Answer:

79.25

Step-by-step explanation:

75 + 72 + 90 + 80 = 317

317 ÷ 4 = 79.25

have a good day! :)

The probability that he did not roll a prime number on either die is 1/4.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

There are three numbers that are not prime: 1, 4, 6.

So the probability that he did not roll a prime number on either die is

1/2*1/2=1/4.

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Answer:

Simple Interest for 1 year = 40/2 = 20

CI for 2 years = 20 + 20 + 1

The difference of Re 1 is due to the interest received on this interest.

Hence interest rate = 1/20 * 100 = 5

Interest for 1 year at 5% = 20

Hence principal = 20*100/5 = 400

When nine is divided by 60 , the quotient would be 0. 15 .

The quotient when nine is divided by 390 is 0. 023 or 3 / 130 .

The quotient refers to the result when a number is divided by another number as is the case with nine being divided by 60 .

The quotient is therefore :

= 9 ÷ 60

= 9 / 60

= 0. 15

The quotient for the division of nine by 390 is :

= 9 ÷ 390

= 9 / 390

= 0. 023

Another way to do this is to find the greatest common factor of nine and 390 which is 3 . Then use it to take the numbers to their simplest form. The quotient would then be :

= ( 9 / 3 ) / ( 390 / 3 )

= 3 / 130

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We have in a) that

So the answer for a) is 2.8

Now in b) we have that

So the answer for b) is 25%.

Answer:

3

Step-by-step explanation:

Experimental probability is based on the actual outcomes of an experiment (gathered by experimenting repeatedly).  

Theoretical probability is based on the possible outcomes (expected outcomes).

Probability formula

\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)

Theoretical probability of flipping a head

A coin has two sides: one side is a "head", the other side is a "tail".

The number of ways flipping a head can occur is 1.

The total number of possible outcomes is 2.

Therefore, the theoretical probability of flipping a head is 1/2.

Theoretical probability of rolling a number less than 3

The cube has six sides labelled 1, 2, 3, 4, 5 and 6.

The number of ways that rolling less than 3 can occur is 2 (rolling 1 or 2).

The total number of possible outcomes is 6.

Therefore, the theoretical probability of rolling a number less than 3 is 2/6 = 1/3.

Therefore, the theoretical probability of flipping a head and rolling a number less than 3 is:

\(\sf P(head)\; and\; P(X < 3)=\dfrac{1}{2} \times \dfrac{1}{3}=\dfrac{1}{6}\)

To calculate the number of actual outcomes and expected outcomes after 90 trials, multiply the number of trials by the probability for each outcome:

\(\textsf{Number of actual outcomes}=90 \times \dfrac{2}{15}=12\)

\(\textsf{Number of expected outcomes}=90 \times \dfrac{1}{6}=15\)

Therefore, the difference between the number of expected outcomes and the number of actual outcomes is:

\(\implies 15-12=3\)

Note: If Olivia continued to flip the coin and roll the number cube, as the number of trials increased, we would expect the experimental probability of 2/15 to get nearer to the theoretical probability of 1/6 and so the difference between the number of actual and expected outcomes would become smaller.

Answer:

Is it 12?Yes,I think it's 12.

If a dataset is generated with the model of polynomial regression of degree 3 then a polynomial regression model of degree 3 will have low bias and low variance.

The correct statement is d. A polynomial regression model of degree 3 will have low bias and low variance.

The given dataset is generated using a polynomial regression model of degree 3. Hence, a polynomial regression model of degree 3 will perfectly fit the data, leading to low bias and low variance. The degree 3 polynomial will have enough flexibility to capture the underlying non-linear relationships in the data. On the other hand, simple linear regression will not be able to capture the non-linear relationship between the predictor and response variables, resulting in high bias and low variance.

In summary, a polynomial regression model of degree 3 will have the best fit for this dataset, with low bias and low variance, whereas simple linear regression will have high bias and low variance.

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Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

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Answer:

-4 and 13.

Step-by-step explanation:

I found this by finding the factors of 52- 1, 2, 4, 13, 26, and 52. You can then look at those and see how they interact. I knew that you had to multiply with a negative to get a negative product and that you can't get 9 by adding any two of those factors, so I started seeing how I could subtract to make 9. Once I found that I could take 4 from 13 and get 9 I checked the multiplication for -4 * 13 and it all worked out.

Answer:

I  know the x and y are 5 and 11 but I wanted to see if I could algebraically solve it, and found I couldn't.

In x+y=16, I know x=16/y but when I plug it back in I get something like 16/y+y=16, then I multiply the left side by 16 to get 2y=256 and then ultimately y=128. Am I doing something wrong?

Step-by-step explanation:

i don't have an answer to your specific request, but this example can help you fortunatly i was doing a problem about that type of question.

Answer: x-3, 3, is not equal to

Step-by-step explanation:

They are equivalent ratios:

Solution: To check equivalence, let us convert them into fractions and maintain a common denominator.

1/3 = 1/3 x 3/3 = 3/9 : 3/9 = 3/9 x 1/1 = 3/9

3/9 = 3/9

1:3 = 3:9

They are equivalent ratios.