if each box represents 1 miles, what is the shortest distance from the school to the skate park.
Answers
The shortest distance between two points is a straight line.
Use the distance formula for points.
In the diagram, we are given two points:
(4,2) and (-3,0).
Let d = distance between the two points.
d = sqrt{(-3 -4)^2 + (0-2)^2}
d = sqrt{(-7)^2 + (-2)^2}
d = sqrt{49 + 4}
d = sqrt{53}
d = 2.2360679775
d = 2.2 miles
Related Questions
The radius of a circle is 12 centimeters. Calculate the area of the circle?
Answers
Answer:
A≈452.39cm²
Step-by-step explanation:
Solution
A=πr2=π·122≈452.38934cm²
Answer:
452.389
Step-by-step explanation:
hope this help
There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?
Answers
Answer:
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Step-by-step explanation:
Given
[tex]n(2019)= 3[/tex]
[tex]n(2001)= 2\\[/tex]
[tex]n(2008)= 2[/tex]
[tex]n = 7[/tex] --- total
Required
[tex]P(Not\ 2019)[/tex]
When two quarters not minted in 2019 are selected, the sample space is:
[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]
So, the probability is:
[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(2001,2001) = P(2001) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2001) = \frac{1}{21}[/tex]
[tex]P(2001,2008) = P(2001) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2008) = \frac{2}{21}[/tex]
[tex]P(2008,2001) = P(2008) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2001) = \frac{2}{21}[/tex]
[tex]P(2008,2008) = P(2008) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2008) = \frac{1}{21}[/tex]
So:
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]
Take LCM
[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]
[tex]P(Not\ 2019) = \frac{6}{21}[/tex]
Simplify
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
If any of you are good with math and Science especially algebra can you PLEASE HELP ME
Answers
Answer:
ok what do i do 1st
Step-by-step explanation:
Answer:
how can i help?
Step-by-step explanation:
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims 2 number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
Answers
Answer:
40 minutes
Step-by-step explanation:
Answer:
Y = X + 15*D
Step-by-step explanation:
Y = Person Swims During Practice
X = Frien Swims During Practice
D = number of Days both Practice
its given that daily 15 minutes longer swim then Friend
Hence
Y = X + 15*D
Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75
Answers
If x = 4, what is the value of 4x + 3?
Answers
Answer:
19
Step-by-step explanation:
4(4)+3=19
Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)
Answers
Answer:
y=-5/4x-4.
Step-by-step explanation:
parallel lines have to have the same slope so they don't intersect each other
original equation with the same slope and rewrite it using point slope form:
y-y1=-5/4(x-x1) now Substitute the point(-4,1)
y-1=-5/4(x-(-4))
y-1=-5/4(x+4)
Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:
y-1=-5/4x-5
y=-5/4x-4.
The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.
Answer: y=-5/4x-4.
Step-by-step explanation:
hey lol pls help ;)
A) the angles are alternate exterior angles
B) the angles are interior angles
C) the angles are supplementary angles
D) the angles are vertical angles
Answers
I need help with this ASAP!!
Answers
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.
Answers
Answer:
2400 in^3
Step-by-step explanation:
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?
the capacity of the tank can be determined by calculating the volume of the tank
volume of a prism = length x width x height
20 x 10 x 12 = 2400 in^3
Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-shirts outside the venue. Isabel is paid a flat rate of
$255 and a variable rate per T-shirt. The following table represents the total amount of money isabel makes. Let & denote the
number of T-shirts that Isabel sells and let y denote the amount of money that Isabel makes. What is the estimated amount of money
that Isabel makes if she sells six T-shirts?
T-shirts
0
1
2
3
4
Money
$255 $270 $289 $312 $339
Answers
Answer:
$355
Step-by-step explanation:
please help asap!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)
Answers
Answer:
Step-by-step explanation:
(2x^2-x)+(x^2+3x-1)
2x^2-x+x^2+3x-1
x^2+3x-1
5x^2+2x-1+(4x^2-x+2)
5x^2+2x-1+4x^2+x-2
9x^2+6x-3
(3x^2+2x+1)+(x^2-1)
3x^2+2x+1+x^2-1
4x^2+2x
-x^2-1+(4x^2-x)
-x^2-1+4x^2-x
3x^2-1-x
Michelle is giving a haircut and a permanent to another woman. The
total bill is $77. If the woman tips Michelle 15%, how much will the tip
be?
Answers
Answer:
$77 x 15/100 = $11.55
Step-by-step explanation:
15 percent of 77 dollars is 11.55
Selection two: solving two step equations (7 of 10) 20-n=48
Answers
Please Mark BRAINLIEST!
please help me
i wanna sleep :(
Answers
Answer:
what langue is that
Step-by-step explanation:
Marking brainliest!!
Was the KKK prominent people ?
Answers
Prominent definition; important/famous
They were definitely important and famous, just not in the best light ya feel me?
Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area of the door to see if she has enough paint. What is the surface area of the door?\
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
2(80*3)+2(3*200)+2(80*200)=33680cm
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
Answers
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
To know more about equation visit:
https://brainly.com/question/649785
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Answer:
Minimum: 39.28; maximum: 65.12
The ramp on the back of a moving van is 7 ft high and rises at an angle of 28°. How long is the ramp? Round to the nearest foot.
Answers
Answer:
6 feets
Step-by-step explanation:
Height of ramp = 7feets
θ = 28°
Length of ramp = x
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin 28 = 3 / x
0.4694715 = 3 / x
0.4694715x = 3
x = 3 / 0.4694715
x = 6.39 feets
The length of the ramp = 6 feets
In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.
Answers
Answer:
36 degrees for each angle.
Step-by-step explanation:
If you divide 180 by 5 (for each point in the star) you get 36 degrees.
In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63
Answers
Answer:
Step-by-step explanation:
uy
According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
How to calculate how much average household paid per year in federal gasoline taxes?To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:
Determine the total number of gallons of gasoline consumed by the average household per year:
Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)Calculate the total amount paid in federal gasoline taxes per year:
Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
Learn more about taxes in: https://brainly.com/question/23347326
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plz help me i will give 50 points,
Answers
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answers
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
|4(x-3)|=15
PLS I NEED HELP ASAP
Answers
Answer:
27/4 or negative 3/4
Step-by-step explanation:
help
In the Line Plot above, what number is the outlier in the data points?
Answers
What value of X makes equation below true 2x + 9 = 4x - 1
Answers
Answer:
5
Step-by-step explanation:
Answer:
5 IS THE RIGHT VALUE THAT MAKES THE GIVEN EQUATION TRUE...
Step-by-step explanation:
2x+9=4x-1
9+1=4x-2x
10=2x
10/2=x
5=X
Round 75 to the nearest hundredth
Answers
Answer:
Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.
Step-by-step explanation:
If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals
G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set
Answers
Answer:
Step-by-step explanation:
I think it’s b…
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?
Answers
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
____________________Solution :-Given Information :-Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00To Find :-Total cost of the mirror Austen needs to buy.Formula Used :-Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot Calculation :-Area of mirror :-Substituting the values given in the 1st formula, We get,
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
Now finding the total cost of mirror,Substituting the values calculated above in the 2nd formula, We get
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
___________________Final Answer :-Total cost of the mirror Austen needs to buy will be $30____________________