Find the weighted of the numbers 1 and 6 with a weight of 2/3 on the first number and 1/3 on the second

A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

Learn more about Confidence Intervals:

https://brainly.com/question/15712887

#SPJ4

Answer:

C. 11:16

Step-by-step explanation:

It is C, it can't go simpler bcs of 11

Answer:

2.  y = 3x + 6

3.  y = 2x

4.  y = 5x + 60

Step-by-step explanation:

Slope-intercept form: y = mx + b

2.

Pick 2 points (0,6) (1,9)

The y increase by 3, and the x increase by 1, so the slope is

m = 3

the y-intercept is located at (0,6)

Our equation is y = 3x + 6

3.

Pick 2 points (0,0) (1,2)

The y increase by 2, and the x increase by 1, so the slope is

m = 2

the y-intercept is located at (0,0)

Our equation is y = 2x

4.

Pick 2 points (0,60) (2,70)

The y increase by 10, and the x increase by 2, so the slope is

m = 10/2 = 5

the y-intercept is located at (0,60)

Our equation is y = 5x + 60

Working alone, Allen can build 1/8 of the fence in 1 hour and working together, Allen and Danny can build 1/X of the fence in 1 hour, where X is their combined rate.

Let's say the total time required to build the fence is T hours.

After 2 hours, Allen has completed 1/8 * 2 = 1/4 of the fence.

So, the remaining work to be done is T - 1/4.

When Allen and Danny work together, their combined rate is X = 1 / (1/8 + 1/16) = 4/7.

The total time taken by them to finish the remaining work is (T - 1/4) / (4/7) = (7/4) * (T - 1/4) = 7T/28 - 7/28.

So, the total time taken to build the fence is 2 + (7T/28 - 7/28) = 2 + 7T/28 = T.

Therefore, T = 2 + 7T/28 = 2 + 7 * (8 hours) / 28 = 2 + 4 hours = 6 hours.

So, Allen and Danny took 6 - 2 = 4 hours to build the fence after working together.

To learn more about combined rate. please click on below link.

https://brainly.com/question/28081747

#SPJ4

The mass of the vessel if it is made of metal of density 10 g/cm³ is 1993 g.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Volume of sphere = 4/3 πr³

Hence, For internal;

⇒ Volume of sphere = 4/3 πr³

⇒ Volume of sphere = 4/3 × 3.14 × (6)³

⇒ Volume of sphere = 904.32 cm³

For external;

⇒ Volume of sphere = 4/3 πr³

⇒ Volume of sphere = 4/3 × 3.14 × (6.4)³

⇒ Volume of sphere = 1097.5 cm³

Thus, Volume of sphere between sphere is,

⇒ 1097.5 - 904.32

⇒ 193.2 cm³

Here,  it is made of metal of density 10 g/cm³.

Hence, the mass of the vessel is,

⇒ 193.2 × 10

⇒ 1932 g

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Below

Step-by-step explanation:

Vertical angles are equal so    8x+3 = 9x-2

                                                     x = 5 °

Since they are equal, if they each are 45° they are complementary ( which means they add to 90°)

8x + 3   = 8 ( 5) + 3   = 43 °    <===== so they are NOT complementary !

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.

This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.

Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.

Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.

For more questions on sequence

https://brainly.com/question/6561461

#SPJ4

The dependent variable in this research question is the birth rate in Phoenix, AZ.

This can be represented mathematically as B, where B represents the birth rate in Phoenix, AZ. We can calculate the birth rate by taking the total number of live births in Phoenix, AZ (L) and dividing it by the total population in Phoenix, AZ (P), and then multiplying by 1,000. B = (L/P) * 1000.

For example, if there were 10,000 live births in Phoenix, AZ in a given year, and the population of Phoenix, AZ in that same year was 2,500,000, then the birth rate in Phoenix, AZ would be dependent variable as follows: B = (10,000/2,500,000) * 1000 = 4. This would mean that the birth rate in Phoenix, AZ is 4 births per 1,000 individuals.

Learn more about dependent variable here:

https://brainly.com/question/26134869

#SPJ4

Complete question:If the researcher's question is "What are the reasons for an increase in the birth rate in Phoenix, AZ?", then the dependent variable is the birth rate in Phoenix, AZ.

Answer:

7

Step-by-step explanation:

3^2 = 9

18-9=9

63÷ 9=7

Answer:

7

Step-by-step explanatio

63 ÷ (18-9)

63÷9= 7

The range and interquartile range of the data set 2, 4, 7, 8, 16, 19, 21 are 19 and 8 respectively.

The range of a data set is the difference between the maximum and the minimum values. In other words, the range is the difference of the highest value and the lowest value of a data set.

Therefore, let's find the range of the data sets. Firstly, let's arrange the data sets in ascending order as follows:

2, 4, 7, 8, 16, 19, 21

range = 21 - 2

range = 19

Let's find the interquartile range of the data set.

The interquartile range is the range of values that resides in the middle of the scores.

Hence,

interquartile range = 8

learn more on range and interquartile range here: https://brainly.com/question/3612669

#SPJ1

The transformations to the graph of the parent function y = x² to the function f(x) = -(x + 1)² are given as follows:

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The changes to the parent function y = x² to create f(x) = -(x + 1)² are given as follows:

More can be learned about translations at brainly.com/question/28174785

#SPJ1

In a case whereby Tara is a sales representative for a cosmetic company. She is paid R5.15 per hour each week plus a commission of 10% on the amount of sales over R5 000, the job that would pay more is the second job because  R490.4 > R432. Yes she should change job.

The concept that will be used here is simplification.

We will need to know the amount that she gets from each job so as to know the job would pay more, this can be done as :

The first job:

R5.15*40hours * (7260-5000)*10%

=R5.15*40hours * (2260)*10%

=R432

Hence the salary here  is R432

The second job:

=40 hour* R5 + 7260 *4%

=40 hour* R5 + (7260 *4%)

= R490.4

Hence R490.4 > R432, therefore she should change job.

Learn more about commission at:

https://brainly.com/question/957886

#SPJ1

Answer:

Step-by-step explanation:

a.  If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.

The ORDER matters in the similarity statement. The same measures must go in the same order.

∧ABC ≈ ∧PQR  Angle-Angle Similarity Postulate

b.   Set up the ratios, then reduce to see if they all reduce to the same fraction.

3/18 ; 4/24 ; 5/30

1/6   ;  1/6  ; 1/6

1/6 = 1/6 = 1/6

The sides are proportional so the triangles are proportional.

∧  ABC ≈ ∧  DEF   Side-Side-Side Similarity Postulate

Theprobability of discovering one or fewer surface flaws in a randomly chosen unit is 0.35.

Let X shows the number of surface defects at a randomly selected unit. Here X has Poisson distribution with parameters [tex]\lambda[/tex] =3. So the probablity of finding one or less surface defects at a randomly selected unit is

[tex]P(X\leq 1)=\frac{e^{-3}(3)^{0}}{0!}+\frac{e^{-3}(3)^{1}}{1!}=0.199[/tex]

Hence, the required probability is 0.199.

The probability of finding more than 3 defects at a randomly selected unit is

[tex]P(X > 3)=1-P(X\leq 3)=0.35[/tex]

Therefore, the probability of discovering one or fewer surface flaws at a randomly chosen unit is 0.35.

To learn more about probability click here :

brainly.com/question/30034780

#SPJ4

139.2 cm² is the surface area, in cm², of the figure.

The surface area of a three dimensional shape is the total area of all of the faces. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.

so, we get,

Surface area = 3×6×6+2×15.6

Surface area = 139.2 cm²

Hence, 139.2 cm² is the surface area, in cm², of the figure.

To learn more on Area click:

brainly.com/question/20693059

#SPJ1

The simplified expression for this problem is given as follows:

9 - 13j/7.

The expression for this problem is defined as follows:

16 + (-4) - 5j/7 - 6j/7 + 7.

The plus sign means that the sign is maintained, hence:

16 + (-4) - 5j/7 - 6j/7 + 7 = 12 - 5j/7 - 6j/7 + 7.

Then we combine the like terms, as follows:

Hence the simplified expression is given as follows:

9 - 13j/7.

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

Answer:

The number of times a variable appears in a date set is called a constant.

Sample 1: Write all of the students' names on cards and pull them out in a drawing to determine who will complete the survey.

Surveys can serve many purposes, and researchers can do so in many ways. Survey is a research method used to obtain information and insights on various topics of interest.

Surveys are a method that can provide a source of data and insights. Common types of surveys are written questionnaires, face-to-face or telephone interviews, focus groups, and electronic surveys. Surveys are the basis for gathering information on a large scale.

Learn more about survey at

https://brainly.com/question/29313239

#SPJ1

Answer:

Target is selling the iPad Pro for $1,175.93.

Step-by-step explanation:

Multiply $1099 by the perecntage. (Shift decimal 2 places to the left)

1099 × .07 = 76.93

Add 76.93 to 1,099.

1,175.93

The probability that the spinner will stop at an even value is: P(even) = 1/3.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.

The probability that the spinner will stop at an even value is:

P(even) = number of even numbers on spinner / total number on spinner

P(even) = 1 / 3

Hence, the probability that the spinner will stop at an even value is: P(even) = 1/3.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

4$ for one hotdog

Step-by-step explanation:

60/15 =

4.

One hotdog equal 4$

brainliest?

The rate of one hot dog is $4.

We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.

By the unitary method,

Amount of rate for one hot dog = is $60/15=$4

Hence one hot dog cost $4.

Learn more about the unitary method,

https://brainly.com/question/23423168

Part 1:

Domain = (-2, -1, 0, 2)

Range = (-4, -2, 2)

Part 2:

Domain = (-4, -2, 1, 4)

Range = (-2, 1, 4)

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Part 1:

From the function figure:

All the x values are domain and all the y values are codomain.

All the y values that are an image of an x value are called the range.

So,

Domain = (-2, -1, 0, 2)

Range = (-4, -2, 2)

Part 2:

From the table:

All the x values are domain and all the y values are range.

So,

Domain = (-4, -2, 1, 4)

Range = (-2, 1, 4)

Thus,

The domain and range are given above.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

The probability that at least one of them has received immunizations is 97.5611%.

Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics. Probability is a mathematical representation of the likelihood or potential that an event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics.

1 - P( no one was vaccinated).

1-71%=0.29

If you pick one person at random from the population, there is a [tex]29[/tex]% chance they are not immunized. There is therefore no chance that any of the three people you choose will be an unvaccinated person [tex]0.29 X 0.29 X 0.29 = 0.024389.[/tex] Your solution, calculated as a percentage by deducting from [tex]1[/tex], is [tex]97.5611[/tex]%.

Learn more about probability here

https://brainly.com/question/24756209

#SPJ4

The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

To learn more about central tendency:

https://brainly.com/question/17631693

#SPJ4

Answer:

A. x ≤ -4 or x > 7

Step-by-step explanation:

4x + 2 ≤ -14

Subtract 2 from both sides:

4x ≤ -16

Divide both sides by 4:

[x ≤ -4]

3x - 5 > 16

Add 5 to both sides:

3x > 21

Divide 3 from both sides:

[x > 7]

To determine if a system of equations has infinitely many solutions, we can use the method of elimination or substitution to solve for one variable in one equation and substitute it into the other equation.

If the resulting equation is an identity, then the system has infinitely many solutions.

In this case, we can solve for one variable in each equation and substitute the solution into the other equation to check for Consistency. If the resulting equation is an identity, then the system has infinitely many solutions.

After solving each system individually, it appears that the system of equations 4x - 3y = 6 and 3x - y = 14 produces infinitely many solutions. This is because when we substitute the solution for x from the first equation into the second equation, we get:

3(4) - y = 14

12 - y = 14

y = 2

This means that for any value of x that's Satisfies the first equation, y will always equal 2. Therefore, the two equations represent the same line in the xy-plane, and the system has infinitely many solutions.

To know more about Equations

https://brainly.com/question/22688504

#SPJ4

Answer: 0.0008

Please correct me if I'm wrong.

Answer:

No.

Step-by-step explanation:

No, the equality ||u + v|| = ||u|| + ||v|| does not hold for all vectors u and v in 3D. This equality is known as the Triangle Inequality, and it states that the length of the sum of two vectors is always less than or equal to the sum of their individual lengths. Hence, ||u + v|| <= ||u|| + ||v||.

To find the proportionality of a table, you need to determine if the relationship between two variables in the table is proportional or not.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

This can be done by dividing one variable by the other and checking if the ratio is equal for all data points in the table. If the ratio is constant, then the variables are proportional and the table is considered proportional.

Given that the question is incomplete and does not show the proportionality table, it is worth it to show how to find the proportionality of a table which would help solve the solution and gain knowledge.

Read more about proportionality tables here:

https://brainly.com/question/11391605

#SPJ1'

The question translated in English is:

Complete the following proportionality tables

The central angle corresponds to an arc length of 2 yd and a radius of 7 yd is 0.09 pi

Central angle is the angle subtended by an arc of a circle at the center of a circle. The radius vectors form the arms of the central angle. In other words, it is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle. When these two points are joined they form an arc. Central angle is the angle subtended by this arc at the center of the circle

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. A circle can be divided into sectors by using the central angle. An excellent illustration of a central angle is a pizza slice. A pie chart is made up of several sectors and is useful for representing various amounts.

Central angle =(s*360)/(2pir)

=we have s=2 yd

radius = 7 yd

angle = 16.5 degree = 0.09 pi

learn  more about central angle

https://brainly.com/question/15698342

#SPJ4