How did Alexander Hamilton steal british cannons?

The correct option is c.) swimsuit sales throughout the year; sunscreen sales throughout the year.

Correlation coefficient is a measure of the strength and direction of a relationship between two variables. The correlation coefficient varies from -1 to +1. A correlation of -1 means that a negative association between two variables is perfect, while a correlation of +1 means that there is a positive association between two variables that is perfect. The closer the correlation coefficient is to 0, the weaker the association between two variables is. A correlation coefficient of 0 means that there is no relationship between two variables.From the given options, the data set that is most likely to have a negative association and a correlation coefficient between 0 and -1 is (c) swimsuit sales throughout the year and sunscreen sales throughout the year.The reason behind this is that when it's summer or a hot season, people tend to buy more swimsuits than sunscreen. And when it's winter or a cold season, people tend to buy more sunscreen than swimsuits. Hence, the correlation coefficient between swimsuit sales throughout the year and sunscreen sales throughout the year is most likely to be between 0 and -1 because there is an inverse relationship between these two variables.

for more search question sunscreen

https://brainly.com/question/20448560

#SPJ8

Answer:Steepness of Appalachian Trail; John’s Speed while hiking the Appalachian Trail

Step-by-step explanation:

The function f(x) = \(\sqrt{x}\) is translated using the rule (x, y) → (x – 6, y+ 9) to create a(x), then the expression that describes the range of a(x) is y > 9. So, the correct answer is fourth option.

When the function f(x) = \(\sqrt{x}\)  is translated by shifting the original function horizontally by a constant value (x - 6) and vertically by a constant value (y + 9), the range of the function remains the same. The vertical shift of +9 units does not affect the range of the function.

Therefore, the range of the translated function a(x) is the same as the original function f(x), which can be expressed as y > 9, indicating that the y-values are greater than 9. So, fourth option is the correct answer.

The question should be:

The function f(x) = \(\sqrt{x}\) is translated using the rule (x, y) → (x – 6, y+ 9) to create a(x). which expression describes the range of a(x)? y > –9 y > –6 y > 6 y > 9

To learn more about range: https://brainly.com/question/7954282

#SPJ11

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

Answer:

its positive 24

Step-by-step explanation:

-7+(-5)= -12

-12×(-2)= 24

The relative velocity of one plane with respect to the other plane is given

by the sum of the velocity of the two planes.

Reasons:

The distance between the two airports = 2,400 km

Speed of the plane from NAIA = 800 kilometer per hour

Speed of the plane coming from SIN = 640 kilometers per hour

Let t represent the time after which the two planes meet, we have;

800 × t + 640 × t = 2,400

\(\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr\)

The time after which the two planes meet, t = \(\underline{1. \overline 6 \ km/hr}\)

Learn more here:

https://brainly.com/question/17228388

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

Learn more about combination here

https://brainly.com/question/11732255

#SPJ4

Answer:

3x+4<13

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Hey there!

First, we are given:

\(\frac{1\frac{1}{4}}{1\frac{3}{8}}\)

To make this easier, I am going to change the fractions in to decimals.

\(\frac{1.25}{0.375}\)

To get the unit rate, we can use proportions:

\(\frac{1.25}{0.375} = \frac{x}{1}\)

Using cross products, we know that...

\(1.25 * 1 = 0.375 * x\)

Now, we solve for \(x\):

\(1.25 * 1 = 0.375 * x\\ 1.25 = 0.375x\\ 3 \frac{1}{3} = x\)

Therefore, the unit rate is \(\frac{3\frac{1}{3} }{1}\)

Now, do the same with the other problem, and the unit rate is \(\frac{1\frac{4}{5} }{1}\)

Have a terrificly amazing day!!!

Answer: y=-6=-3(x-4)

Step-by-step explanation:

Answer:

slope = 2 , y- intercept = -8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 4x + 2y = - 16 ( add 4x to both sides )

2y = 4x - 16 ( divide both sides by 2 )

y = 2x - 8 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 8

Answer:

the slope is 2 and y-intercept is (0,-8)

Step-by-step explanation:

Step 1: is to subtract 2y from both sides, -4x+2y-2y=-16-2y

Step 2: Simplify, -4= -16-2y

Step 3: Divide both sides by -4, -4x/4=-16/-4-2y/-4

4x/4=x=1

Answer:  \(h(x)=\sqrt{x+4}\)

Step-by-step explanation:

The graph of h(x) is the graph of f(x) shifted 4 units left.

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

To learn more about  the frequency distribution from the given link

brainly.com/question/27820465

#SPJ4

Answer: 14 per hour

Step-by-step explanation: divide amount earned by hours worked

Answer: C

Step-by-step explanation: (x+2) 2+(y-1) 2=3

Answer:

uhh

Step-by-step explanation:

carrot?

Answer:

40 is greater than 6

Step-by-step explanation:

The solution is x < 3, which means that any value of x less than 3 satisfies the inequality.

Solve the inequality 2x + 3 < 9.

Begin by isolating the variable. Subtract 3 from both sides:

2x + 3 - 3 < 9 - 3

2x < 6

Divide both sides of the inequality by 2 to solve for x:

(2x)/2 < 6/2

x < 3

When solving inequalities, the same rules apply as in solving equations, with one exception: if you multiply or divide both sides of the inequality by a negative number, you need to flip the inequality sign.

For more such questions on solution

https://brainly.com/question/24644930

#SPJ8

We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

To learn more about the proportion visit:

brainly.com/question/870035

#SPJ4

Answer:

5/100 , 7/2 ,4/5 321/100,  35/100, 607/1000, 3/2, 52/1

Step-by-step explanation:

Answer:

A. The mean price was about 15,000 higher than the median price.

Step-by-step explanation:

The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

To know more about guy wire here

https://brainly.com/question/15504383

#SPJ4

The answer and step by step explanation is in the image below. :)

Answer

c= (1a) 169)

Step 1: Flip the equation.

₴ab?=c

Step 2: Divide both sides by a/2.

1 ab?

2

a

2

C

a

2

12 = 2c

a

Step 3: Take square root. 2C or b=-

b=1

2C

a

Answer:

b= V

20 or b=-

a 2c

a

Answer:

Step-by-step explanation:

Option A: ∠ BDC ≅ ∠ADB is the missing statement in the proof.

This statement is needed to complete the proof by showing that triangles ∆ABC and ∆ADB are similar by the AA criterion.

To find the maximum and minimum values of the given function f(θ), we need to find its critical points and endpoints.

First, we take the derivative of f(θ) with respect to θ:

f'(θ) = -2 sin(θ) - 2 cos(θ) sin(θ)

Setting f'(θ) = 0, we get:

-2 sin(θ) - 2 cos(θ) sin(θ) = 0

Simplifying and factoring out -2 sin(θ), we get:

-2 sin(θ) (1 + cos(θ)) = 0

This gives us two critical points: θ = 0 and θ = π.

Next, we need to evaluate the function at the endpoints of the given interval [0, 2π]:

f(0) = 2 cos(0) + cos2(0) = 3

f(2π) = 2 cos(2π) + cos2(2π) = 3

Now we compare the values of f(θ) at the critical points and endpoints to find the maximum and minimum values:

f(0) = 3 (endpoint)

f(π) = 1 (critical point)

f(2π) = 3 (endpoint)

Therefore, the maximum value of f(θ) is 3 and the minimum value is 1.

To learn more about trigonometric equation refer below

https://brainly.com/question/10676952

#SPJ11

Answer:

We need an attachment or more details to help you.

Step-by-step explanation:

By using the concept of line, coplanar, non parallel lines always intersect

Definition of perpendicular and skew lines has been given

What is a line?

A geometrical object which has only length but no breadth and height is  called a line

The lines which are coplanar and are not parallel will intersect at some point

Two lines are said to be perpendicular to each other if the angle between them is 90°

The lines which are not parallel, non coplanar at do not intersect are called skew lines.

To learn more about lines, refer to the link-

https://brainly.com/question/28045419

#SPJ4