David leaves the house to go to school. He walks 200 m west and 45 m north. how far away is he from his starting point?​

Answers

Answer 1

Step-by-step explanation:

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David Leaves The House To Go To School. He Walks 200 M West And 45 M North. How Far Away Is He From His

Related Questions

. let ???? be a discrete random variable that is uniformly distributed over the set of integers in the range [????, ????], where ???? and ???? are integers with ???? < 0 < ????. find the pmf of the random variables max(0,????) and min(0,????).

Answers

Filling in the blanks, I assume you're talking about a random variable [tex]X[/tex] distributed uniformly over the integers [tex]a\le x\le b[/tex]. Let both [tex]a,b>0[/tex] so we can write the support of [tex]X[/tex] as the set

[tex]S = \{-a, -a+1, -a+2, \ldots, -1, 0, 1, \ldots, b-2, b-1, b\}[/tex]

Note that [tex]|S| = a+b+1[/tex], so the PMF of [tex]X[/tex] is

[tex]\mathrm{Pr}(X=x) = \begin{cases}\frac1{a+b+1} & \text{if } x\in S \\ 0 & \text{otherwise}\end{cases}[/tex]

Let [tex]Y=\max\{0,X\}[/tex]. Then

[tex]Y = \max\{0,X\} = \begin{cases}0 & \text{if } X\le0 \\ X & \text{if } X>0 \end{cases}[/tex]

which tells us

[tex]\displaystyle \mathrm{Pr}(Y=0) = \mathrm{Pr}(X\le0) = \sum_{x=-a}^0 \mathrm{Pr}(X=x) = \frac{a+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Y\neq0) = \mathrm{Pr}(X>0) = \sum_{x=1}^b \mathrm{Pr}(X=x) = \frac b{a+b+1}[/tex]

Hence the PMF of [tex]Y[/tex] is

[tex]\mathrm{Pr}(Y=y) = \begin{cases}\frac{a+1}{a+b+1} & \text{if } y=0 \\\\ \frac b{a+b+1} & \text{otherwise}\end{cases}[/tex]

Let [tex]Z=\min\{0,X\}[/tex]. The same reasoning applies, but this time

[tex]Z = \min\{0,X\} = \begin{cases} 0 & \text{if } X \ge 0 \\ X & \text{if } X < 0 \end{cases}[/tex]

Now

[tex]\displaystyle \mathrm{Pr}(Z=0) = \mathrm{Pr}(X\ge0) = \sum_{x=0}^b \mathrm{Pr}(X=x) = \frac{b+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Z\neq0) = \mathrm{Pr}(X<0) = \sum_{x=-a}^{-1} \mathrm{Pr}(X=x) = \frac a{a+b+1}[/tex]

so that

[tex]\mathrm{Pr}(Z=z) = \begin{cases}\frac{b+1}{a+b+1} &\text{if }z=0 \\\\ \frac a{a+b+1} & \text{otherwise}\end{cases}[/tex]

For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables

Answers

The equation for Kilberly's running or walking will be R+4w ≤ 6.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.

Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-

R + 4W ≤ 6

Put the running and walking times in the equation above.

15 + ( 4 x 40 ) ≤ 6

175 minute ≤ 6 x 60

175 minutes ≤ 360 minutes.

Therefore, Kimberly covers the distance in less than 6 hours.

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The point-slope form of a line that has a slope of 2/3 and passes through point (6,0) is shown?
y-0=2/3(x-6)
What is the equation in slope-intercept form?
y-2/3x-12
y-2/3x-6
y-2/3x-4
y-2/3x-8​

Answers

Answer:

See below

Step-by-step explanation:

y-0=2/3(x-6)         (expand L side)

What is the equation in slope-intercept form?

y = 2/3 x - 4

The speeders soccer team charge $12 to watch each car at a fundraiser car wash. The team collected a total of $672 by the end of the day. How many cars did the team was?

Answers

Answer:

they washed 55 cars

Step-by-step explanation:

I did the math good luck

y=-x+7
Graph it also if you can

Answers

Answer:

Hope this helps!!

If the area of a square is 139cm squared, what would the length of the side be?

Answers

The length of the side is 11.79cm

How to find the area of the square?

The area is the entire amount of space occupied by a flat (2-D) surface or shape of an object.

On a sheet of paper, draw a square with a pencil.

It is a two-dimensional figure.

The area of a shape on paper is the area it occupies.

Area of a square i= 139cm^2

a^2 = 139

The length of the side (a) = [tex]\sqrt{139}[/tex] = 11.79cm

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Enter the value of p so the expression 18+4.5n is equivalent to p(6 + 1.5n)

Answers

Answer:

p=1

Step-by-step explanation:

p(6+1.5n)=18+4.5n

6p+1.5np = 18+4.5n

18p+4.5np=18+4.5n

p=1

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On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.

Answers

mean = 27

standard deviation = 4

n = 17

z = ?

[tex]\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}[/tex]

Result :

z = 2.5

Complete the boxes in the decimal
grid below.
0.345
0.348

Answers

Its 69/200 and 345/1000 by converting them

The price of an item yesterday was %130.Today, the price rose to $169 . Find the percentage increase.

Answers

The percentage increase when the price of an item increased is 30%.

How to calculate the percentage?

From the information, the price of an item yesterday was $130 and today, the price rose to $169.

The increase in the price will be:

= $169 - $130

= $39

Therefore, the percentage increase will be:

= Increase in price / Original price × 100

= 39 / 130 × 100

= 30%

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Please help!!!
I’ll give you the Brainiest

Does multiplying by a conversion factor change the
amount of what is being measured?

Answers

Answer:

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

Step-by-step explanation:

There is no explanation

WILL GIVE BRAINLIEST
find all values of x for which (f∘g)(x)=(g∘f)(x).
f(x)=x/(x+2), g(x)=x^2

Answers

Step-by-step explanation:

(f○g)(x) means f(g(x))

(g○f)(x) means g(f(x))

f(g(x)) means to use the expression of g(x) as input to f(x). so, we replace all simple x in f(x) by g(x) = x².

f(g(x)) = x²/(x² + 2)

using the same principle we get for

g(f(x)) = (x/(x + 2))² = x²/(x + 2)²

now we need to solve

x²/(x² + 2) = x²/(x + 2)²

let's multiply both sides with both denominators :

x²(x + 2)² = x²(x² + 2)

x²(x² + 4x + 4) = x²(x² + 2)

so, one solution is clear : x = 0.

because then we have 0 = 0.

for x <> 0 we can divide both sides by x² and get

x² + 4x + 4 = x² + 2

4x + 4 = 2

4x = -2

x = -2/4 = -1/2

both expressions are equal for x = 0 and x = -1/2

1-4: Literal Equations Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximat 3360 square feet, and the width of the billboard was approximately 56 feet, what was the height of this billboard?​

Answers

If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.

What is area?

The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.

Here the area of the billboard = 3360 sq feet

Width of the billboard = 56 feet

We know that

area of the billboard = Height of the billboard x Width of the billboard

⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]

⇒ Height of the billboard= 3360/56

⇒ Height of the billboard = 71.25 feet

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Mike and Raymond each read the same book.Mike reads 182 pages in 7 hours.Raymond reads 168 pages in 6 hours. Based on the rates which statement is true? select TWO correct choices
A.Mike reads faster than Raymond.
B.Raymond reads faster than mike.
C.Mike reads 2 more pages than raymond in one hour.
D.Raymons reads 52 pages in 3 hours.
E.Mike can read 13 pages in half an hour.

Answers

Answer:

B and c

Step-by-step explanation:

182/7=26

168/6=28

-24 = -12v solve for v and simplify as much as posible

Answers

Divide both sides of the equation by the coefficient of variable:< br />Remove the parentheses:< br />Calculate the product or quotient:< br />Answer: < br />

Answer:

divide both sides by the coefficient of v which is 12

-24/-12=-12v/-12

-2=v


f(x) = −3|x −1| + 4

Answers

Answer:

Find the Inverse f(x)=3x-1/4. f(x)=3x−14 f ( x ) = 3 x - 1 4. Step 1. Write f(x)=3x−14 f ( x ) = 3 x - 1 4 as an equation. y=3x−14 y = 3 x - 1 4.

Step-by-step explanation:

The line passes through the points (-2,5) and (-8,-8)
Slope =

Answers

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} [/tex]

ATTACHED IS THE SOLUTION.

I also provided you with the formula to calculate the slope between the points.

formula to calculate the slope between the points.GOODLUCK

Calculate the number of students per teacher at West Elementary school

Answers

Ok, so

We know that, at West Elementary school, there are 438 students and 22 full-time teachers. We want to know the number of students per teacher. This is:

[tex]\frac{438\text{students}}{22\text{teachers}}=19.91\frac{students}{teacher}[/tex]

the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number

Answers

The population of rabbits by the year 2023  is 13985.

What will the population be?

We have to use the following exponential function. This will be:

y = a b^t

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the equation will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The population is 13985.

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What is the least common multiple of 3, 5, and 10?

Answers

30
because 3x10 is 30 5x6 is 30 and 10x3 is 30

17x-5
16x + 3 what is x

Answers

Answer:

x = 8

Step-by-step explanation:

17x-5 = 16x + 3

Step 1: Subtract 16x from both sides.

17x−5−16x=16x+3−16x

x−5=3

Step 2: Add 5 to both sides.

x−5+5=3+5

x=8

The solution to the equation is x = 8.

To solve the equation 17x - 5 = 16x + 3 and find the value of x, we can follow these steps:

Start by simplifying both sides of the equation by combining like terms. Add 5 to both sides to move the constant term to the right side of the equation:

17x - 5 + 5 = 16x + 3 + 5

17x = 16x + 8

Next, we want to isolate the x term on one side of the equation.

Subtract 16x from both sides:

17x - 16x = 16x - 16x + 8

x = 8

Therefore, the solution to the equation is x = 8.

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10-2y=46 solve for y

Answers

Answer:

-18

Step-by-step explanation:

first subtract ten from both sides now you're left with -2y=36 ,lastly divide both sides by -2 and you're left with y= -18

I need assistance on scatter plots. Please see the attached question

Answers

From the scatter plot of sales of Ceiling Fan in relation to Temperature.

(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.

The relationship between the money spent on Ceiling Fan and Temperature is positive correlation.

When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.

(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.

With the function:

y = 20x + 0

When Temperature is 21 degrees that means x = 21

So let's input x = 21 into the given function.

y = 20(21) + 0

y = 420 + 0

y = 420

Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is $420.

(c) What does the number 0 in the function mean in the contest of this situation?

In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.

among all rectangles that have a perimeter of 48, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

Answers

among all rectangles that have a perimeter of 48 Then the  dimensions of the one whose area is largest is 12 by 12

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the perimeter is 156, hence;

2(L + W) = 48

2L + 2W = 48

L + W = 24

W = 24 - L

The area of the rectangle is expressed as:

A = LW

A = L(24-L)

A = 24L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 24 - 2L

0 = 24 - 2L

2L = 24

L = 24/2

L = 12

Recall that 2(L+W) = 48

2(12 + W) = 48

12 + W = 24

W = 24 - 12

W = 12

Hence the dimensions of the one whose area is largest is 12 by 12

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How can you determine which of the numbers below is greatest 13/20, 5/8, 3/5, 3/10

Answers

Answer:

13/20 is the greatest because it is equal to 65% of 100%.

Step-by-step explanation:

5/8 = to 12.5x5=62.5%. 3/5= 20x3=60%. 3/10 = 10x3=30%. So 13/20 is the greatest.

The measures of the exterior angles of an octagon are x°x°, 2x°2x°, 3x°3x°, 4x°4x°, 5x°5x°, 6x°6x°, 9x°9x°, and 10x°10x°. Solve for xx.

Answers

Answer:

x=10

Step-by-step explanation:

Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.

Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°

⇒ 36x = 360

⇒ x= 10

when was the temperature decreasing

Answers

Answer:

I need you to be more specific and answer options. That is the only way anyone can answer this question.

Step-by-step explanation:

wht is the ending balance of R341000 at 4% for 3 years?

Answers

The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.  

What is interest?

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

Information given in the question,

Principle amount = 341,000

Time period = 3 years

Interest rate is 4 % which can be written as 0.04 in decimals.

We can calculate the ending balance using this formula formula for simple interest:

[tex]S.I. = Principle \times Interest \times time[/tex]

Putting the values given in the question

S.I. = (341000)(0.04)(3)

S.I. = 40,920

Interest is 40,920.

The ending balance is the sum of Principle amount and Interest. So,

ending balance = 341000+40920

ending balance = 381920  

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assume 11% of the population is left-handed. assume this percentage is also true for all college students. a random sample of 209 college students from a campus with 5225 students is taken and whether or not they are left-handed is recorded.

Answers

After finding the probability we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

11 % of the population is left-handed so here we have to find the probability of left-handed students if 209 random students are selected from 5225 students on campus here Favorable outcome is 209 and the total outcome is 5225, so the favorable outcome upon the total number of the outcome.

According to the probability formula :

Probability = [tex]\frac{favorable outcome}{Total number of outcome}[/tex]

Probability = 209 / 5225

After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

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Can someone answer this please?

Answers

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of all meat is shown in figure.

Now,

By the figure, we get;

The cheapest meat is Ms barker free Ronge whole chicken which is in

$6 per kilo.

And, The cost of honey leg ham = $17 per kilo

Since, 1 kilograms = 1,000 grams

The cost of 1 gram of honey leg ham = $17/1000

So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000

                                                                      = $3.4

Thus,

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

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