Your travel guide contains a grid map of New York, with each unit on the grid representing 0.125 miles is the Empire State building is located at (4,-4) in Central Park is located at (-14,8), which is the direct distance( Not walking distance, which would have to account for bridges in roadways) between the two landmarks in miles? Round your answer to two decimal places if necessary

Answer:

thin think back to wen you were l lerning about it come on you can do it

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

Learn more about mathematical induction here

https://brainly.com/question/29503103

#SPJ11

The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

To know more about linear system, visit:

https://brainly.com/question/26544018

#SPJ11

Time required for writing 2 pages = 1 day

So, time required for writing 1 pages

= 1 day/2

= ½ day

So, time required for writing 300 pages

= ½ day × 300

= (300/2) days

= 150 days

Answer:

150 days

Step-by-step explanation:

We can write a ratio to solve

2 pages    300 pages

----------- = ------------

1 day            x days

Using cross products

2x = 300

Divide by 2

2x/2 = 300/2

x = 150

150 days

Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ9

The following inequality should be used to determine the number of families should be asked to bring chairs: 50 + 4n >85

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

85​ people RSVP’d to a neighborhood block party.

The organizers had 50​ chairs on hand

And he asked that some families bring 4​ chairs with them

So, the total required number of chairs =  85

Suppose, he asked to n families to bring 4 chairs with them.

total chairs n families will bring  = 4n

In a party  to make sure everyone can sit on a chair,

The number of chairs should be more than  85

N > 85

Total number of chairs = Chairs organizer had + families will bring

                                      = 50 + 4n

Now to satisfy the condition

50 + 4n > 85

To know more about Inequalities check:

https://brainly.com/question/30228778

#SPJ1

Answer:

A car bought every 10 seconds? If that is even true

Step-by-step explanation:

The probability that at least one student is enrolled in a language class is 0.84, or nearly 84%.

To find the probability that at least one of the two students is taking a language class, we need to find the probability that both students are NOT taking a language class and subtract it from 1.

Let's assume that there are 100 students in the school, and 60 of them are taking a language class. Then, the probability of a student being NOT in a language class is 40/100 = 2/5.

The probability that both students are NOT taking a language class would be (2/5) * (2/5) = 4/25.

1 - 4/25 = 21/25 = 0.84 or 84%

Probability is a branch of mathematics that deals with the study of the likelihood or chance of an event occurring. It involves measuring the likelihood of different outcomes of a given situation or event. Probability is often represented as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that it is certain.

For more questions on probability

brainly.com/question/24756209

#SPJ4

Answer:

√{35×35}=√35²=35 is your answer

Answer:

35 is your answer

Step-by-step explanation:

.......

Answer:

26

Step-by-step explanation:

ab+c

plug in #s

4(6)+2

start to solve

24+2

26

To determine the value of c such that P(X−2>c) = 0.95, we need to find the corresponding z-score for the desired probability and then convert it back to the original variable using the mean and standard deviation. The value of c is approximately 17.92.

The z-score can be calculated using the standard normal distribution table or a calculator. In this case, we want to find the z-score corresponding to a probability of 0.95, which is approximately 1.96.

Next, we convert the z-score back to the original variable using the formula:

z = (X - mean) / standard deviation

Plugging in the given values, we have:

1.96 = (X - 14) / 2

Solving for X, we get:

X - 14 = 3.92

X = 17.92

Therefore, the value of c is approximately 17.92.


To learn more about normal distribution click here: brainly.com/question/15103234

#SPJ11

The value of the function f(2) is 3

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

f(x) = 2x - 1

Also, we have

x  = 2

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

f(2) = 2 * 2 - 1

Evaluate

f(2) = 3

Hence, the solution is 3

Read more about functions at

https://brainly.com/question/28277110

#SPJ1

Complete question

Consider the function,f(x) = 2x - 1

Calculate f(x) when x = 2

Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

Answer:

2 1/4 square yards

Step-by-step explanation:

We have been given that Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards.    

All person weeding flower bed: .

To find the area in square yards weeded by each child, we will divide total area of flower bed by 4.

Therefore, each child weeded  square yards of flower bed.

Answer:

I believe it's going to be2 1/4 square feet

Answer:

60 m

Step-by-step explanation:

Triangle formula:

Answer:

one side should be given.

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

hope it helps...

have a great day!!

The equation is

To clear the value of x you have to pass all terms of the equation that don't have it to the other side of the equal sign. To do so you have to perform the opposite operation as the one the term is doing.

In this equation, you have to pass "-12" to the other side, then you have to add it to both sides of the equation.

-12+12 simplify each other so

Finally divide by 6 to reach the value of x

The equation y= 2x-15 can be used to estimate how many minutes will pass after 4:00 pm until she reaches her destination.

The following equation can be used to estimate how many minutes after 4:00 p.m. the pilot will reach her destination:

y = 2x - 15

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "2x" represents the time the pilot will arrive at her destination if she had traveled at twice her original speed, and the "-15" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 2(60) - 15

= 120 - 15

= 105

This means that the pilot will arrive 105 minutes after 4:00 p.m., or at 5:45 p.m.

The complete question is:-

A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic control approved a new flight plan that

will allow her to arrive two times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation

that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

y = 2x + 15

©y=-*x+15

y = x-15

y = 2x - 15

To learn more about speed, refer:-

https://brainly.com/question/16247386

#SPJ4

Answer:

Step-by-step explanation:

2x^2 = 37

x^2=37/2

x^2=18.5

\(\sqrt{x^{2} }\)=\(\sqrt{18.5}\)

x=4.301

Answer:

answer 2(35 divided by the difference of 12 and 5

Answer:

2 and3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.

Substituting the given values, we get:

V = (1/3)π(3²)(2)

V = (1/3)π(9)(2)

V = (1/3)π(18)

V = (6/3)π

V = 2π

Therefore, the exact volume of the cone is 2π cubic meters.

In comparison to her classmates, Kay did better in quiz 2.

According to the question,

Kay scored 15 on Quiz 1 which had a mean of 12 and a standard deviation of 2.4

= Z-score = 15 - 12/ 2.4 = 1.25

She scored 14 on Quiz 2 which had a mean of 11 and a standard deviation of 2

= Z-score = 14 - 11/ 2 = 1.5

As we can see the Z-score of Quiz 2 is more than the Z-score of Quiz 1 hence Kay did better in Quiz 2.

To learn more about statistics, mean, median, and mode,

https://brainly.com/question/29342780

#SPJ4

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

\(r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

Which means that option E is correct.

The volume of a cube of side length l is given by:

\(V = l^3\)

For Cube A, the volume is of 9 cubic inches, hence:

\(l_a^3 = 9\)

\(l_a = \sqrt[3]{9}\)

\(l_a = 9^{\frac{1}{3}}\)

\(l_a = 3^{\frac{2}{3}}\)

For Cube B, the volume is of 5 cubic inches, hence:

\(l_b^3 = 5\)

\(l_b = \sqrt[3]{5}\)

\(l_b = 5^{\frac{1}{3}}\)

Then, the ratio is:

\(r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

To leran more about hypothesis testing, refer:-

https://brainly.com/question/17099835

#SPJ11

The research team, after formulating the hypothesis that exercise increases happiness, needs to design and conduct an experiment to test this hypothesis.

The next step would be to plan and implement a study that allows them to collect data and analyze whether exercise has a positive impact on happiness.

Define the variables: Clearly define the variables involved, such as the independent variable (exercise) and the dependent variable (happiness).

Design the study: Determine the study design that will best test the hypothesis. This could involve selecting the sample population, deciding on the duration and intensity of exercise, and considering control groups or randomization techniques.

Collect data: Implement the study by gathering data on exercise habits and measuring happiness levels. This may involve surveys, questionnaires, or other measurement techniques.

Analyze the data: Use statistical analysis methods to examine the collected data and determine if there is a significant relationship between exercise and happiness. This could involve comparing means, conducting correlation analyses, or employing other appropriate statistical tests.

Draw conclusions: Based on the analysis, interpret the findings and draw conclusions regarding the hypothesis. Determine whether the data supports or refutes the hypothesis that exercise increases happiness.

Communicate the results: Share the findings with the scientific community through research papers, presentations, or other appropriate channels. This step allows other researchers to review and replicate the study.

To know more about hypothesis refer here:

https://brainly.com/question/29576929#

#SPJ11

If the average of vehicles is 35.7 mpg then

(a) the variable is found to be "average miles per gallon .

(b) The variable is quantitative .

In the question ,

we are studying about the average miles per gallon (mpg) for new hybrid small cars .

by consumer reports the random sample of such vehicles gave an average of 35.7 mpg .

Part (a)

here the variable is "average miles per gallon(mpg) " , because it varies with the different cars .

Part(b) ;

This variable is Quantitative , because here we are studying about the term "how much" that means : average miles per gallon .

Therefore , the variable is "average miles per gallon" and is quantitative .

The given question is incomplete , the complete question is

The average miles per gallon (mpg) for all new hybrid small cars , Using Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.

(a) Identify the variable.

(b) Is the variable quantitative or qualitative ?

Learn more about Variable here

https://brainly.com/question/13169188

#SPJ4

There are 3 terms in expression 7\(x^{2}\)-5x+5.

Monomials, binomials, trinomials, and polynomials are all examples of algebraic expressions in mathematics. Algebraic expressions are those that are modeled utilizing unknowable constants, coefficients, and variables. A variable can have any value because it is not fixed, unlike a constant, which has a definite value. Monomials, binomials, trinomials, and polynomials are examples of algebraic expressions that are created by combining variables and constants using arithmetic operations. Terms are the components of algebraic expressions that are separated by addition or subtraction. The type of expression—monomial, binomial, trinomial, or polynomial—depends on the number of terms.

An algebraic expression with three terms is called a trinomial.

To learn more about expression here:

https://brainly.com/question/28980347

#SPJ4

B. The data shows a positive, linear association.

To determine the association between height and weight of the ten boys, we will first observe the data points provided. We can compare the increase or decrease in height with the corresponding increase or decrease in weight to identify a pattern.

Here's a list of height and weight pairs:
(60, 125), (63, 139), (65, 155), (61, 136), (70, 170), (55, 108), (58, 116), (61, 139), (64, 129), (57, 121)

Upon observing these pairs, we can see that as height increases, weight generally increases as well. For example, when height increases from 55 inches to 70 inches, weight increases from 108 pounds to 170 pounds. This pattern can also be seen in other data pairs.

This means that there is a direct relationship between the height and weight of the boys, where taller boys tend to weigh more, and shorter boys tend to weigh less.

To learn more about linear association : brainly.com/question/29299187

#SPJ11

a. The percent of Benny's mom's age to his age is 400%.

b.  Benny's mom's age is 400% of his age.

What is a percent of numbers?

The percent of a number is its fraction that is expressed as percentage. Thus the percentage of a number or part of a number can be determined.

Considering the given question, the years of Benny and that of his mom were given as;

Benny's age = 12 years

His mom's age = 48 years

Thus we can deduce that;

a. The percent of his mom's age to that of Benny's = 48/ 12 * 100%

                                            = 400%

b. Benny's mom's age is 400% of his age.

Therefore, the correct option to be selected is D.

Learn more about percent of numbers at https://brainly.com/question/24877689

#SPJ1