Hugo rides the bus to work every day, a distance of 18 miles. The distance on the route map between the station by Hugos house and the station by his work is 3 inches. What is the maps scale? 1 inch = _____ miles.
Answers
The maps scale is 1 inch = 6 miles. This means that for every inch on the map, it represents 6 miles in real-life distance.
To determine the scale, we need to know the relationship between the distance on the map and the actual distance. In this case, the distance on the route map between Hugo's house and his work is 3 inches, and the actual distance he travels by bus is 18 miles.
To find the scale, we can set up a proportion using the given information:
(distance on the map in inches) / (actual distance in miles) = (1 inch) / (x miles)
Now, we can plug in the known values:
(3 inches) / (18 miles) = (1 inch) / (x miles)
To solve for x, we can cross-multiply:
3 inches * x miles = 18 miles * 1 inch
3x = 18
Now, divide both sides by 3:
x = 6
So, the scale of the map is 1 inch = 6 miles.
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Related Questions
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
Answers
The mean incubation time of fertilized eggs is 20 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 10th percentile for incubation times. (b) Determine the incubation times that make up the middle 95%.
Answers
Using the normal distribution, it is found that:
a) The 10th percentile for incubation times is of: 18.72 days.
b) The incubation times that make up the middle 95% are of: Between 18.04 and 21.96 days.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the incubation times are presented as follows:
\(\mu = 20, \sigma = 1\)
The 10th percentile for the distribution is X when Z = -1.28, which is the value of Z with a p-value of 0.1, hence:
-1.28 = (X - 20)/1
X - 20 = -1.28
X = -1.28 + 20
Z = 18.72 days.
Considering the symmetry of the normal distribution, the bounds of the middle 95% of values are given as follows:
2.5th percentile: X when Z = -1.96.97.5th percentile: X when Z = 1.96.Hence the lower bound is:
-1.96 = (X - 20)/1
X - 20 = -1.96
X = -1.96 + 20
Z = 18.04 days.
The upper bound is:
1.96 = (X - 20)/1
X - 20 = 1.96
X = 1.96 + 20
Z = 21.96 days.
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mary drove for four hours on an interstate highway at a constant rate of 60 miles per hour. during the next hour, she drove on a state road at a slower rate of 40 miles per hour. how many miles did mary travel on her trip?
Answers
Step-by-step explanation:
speed = distance/time
distance = speed × time.
so, for the first 4 hours
distance = 60 m/h × 4 h = 240 miles
and for the next hour
distance = 40 m/h × 1 h = 40 miles
she traveled therefore
240 + 40 = 280 miles
the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took
Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3
Answers
Answer:
y = -3x + 21
Step-by-step explanation:
(5,6)
y = mx + b
6 = -3 × 5 + b
solving for b
b = 6 - (-3)(5)
b = 21
Therefore,
y = -3x + 21
Three runners are training for a marathon. one day, they all run about ten miles, each at their own constant speed. which of the three runners has the fastest pace?
Answers
You did not post enough information.
5. MaryAnne painted 600 square feet of wall space using 1 1/2gallons of paint. The number of
square feet she can paint, y, is proportional to the number of gallons used, x.
k=
Equation:
Answers
The equation that represents the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) can be expressed as follows:
\(\displaystyle\sf y = kx\),
where \(\displaystyle\sf k\) represents the constant of proportionality.
In this specific scenario, MaryAnne painted 600 square feet of wall space using 1 1/2 gallons of paint. To find the value of \(\displaystyle\sf k\), we can substitute the given values into the equation:
\(\displaystyle\sf 600 = k \cdot \left( \frac{3}{2} \right)\).
To solve for \(\displaystyle\sf k\), we can multiply both sides of the equation by \(\displaystyle\sf \frac{2}{3}\):
\(\displaystyle\sf \frac{2}{3} \cdot 600 = k\),
\(\displaystyle\sf k = 400\).
Therefore, the equation representing the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) is:
\(\displaystyle\sf y = 400x\).
A queen bee has a colony of 2000 drones and 18000 worker bees. 6000 of worker bees forage for pollen and nectar. What part of worker bees are drones ?
Answers
If queen bee has a colony of 2000 drones and 18000 worker bees, One-sixth (1/6) of the worker bees in the queen bee's colony are drones.
The total number of bees in the queen bee's colony is the sum of drones and worker bees. Therefore, we can calculate the total number of bees as follows:
Total number of bees = number of drones + number of worker bees
Total number of bees = 2000 + 18000
Total number of bees = 20000
Out of the total number of worker bees (18000), 6000 are foragers. Therefore, the number of worker bees that are not foragers is:
Number of worker bees that are not foragers = 18000 - 6000
Number of worker bees that are not foragers = 12000
Now we can find the part of worker bees that are drones by dividing the number of drones by the total number of bees that are not foragers:
Part of worker bees that are drones = number of drones / number of worker bees that are not foragers
Part of worker bees that are drones = 2000 / 12000
Part of worker bees that are drones = 1/6
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Find the volume of a pyramid with a square base, where the area of the base is 6.5 m 2 6.5 m 2 and the height of the pyramid is 8.6 m 8.6 m. Round your answer to the nearest tenth of a cubic meter.
Answers
The volume of the pyramid is 18.86 cubic meters.
Now, For the volume of a pyramid with a square base, we can use the formula:
Volume = (1/3) x Base Area x Height
Given that;
the area of the base is 6.5 m² and the height of the pyramid is 8.6 m,
Hence, we can substitute these values in the formula to get:
Volume = (1/3) x 6.5 m² x 8.6 m
Volume = 18.86 m³
(rounded to two decimal places)
Therefore, the volume of the pyramid is 18.86 cubic meters.
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The hammer throw is a track-and -field event in which a 7.30 kg ball (the hammer) is whirled around in a circle several times and released. It then moves upward on the familiar curved path of projectile motion and eventually returns to the ground some distance away. The world record for the horizontal distance is 86.75 m, achieved in 1986 by Yuriy Sedykh. tgnore air resistance and the fact that the ball was released above the ground rather than at ground level. Furthermore, assume that the balt is whirled around a circle that has a radius of 2.88 mand that its velocity at the instant of release is directed 36.1
∘
above the hor izontal. Find the magnitude of the centripetal forceacting on the ball just prior to the moment of release. Number Units
Answers
The magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event is Fc = (0.730116kg *\(v^{2}\))/m.
To find the magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event, we can use the principles of circular motion.
The centripetal force required to keep an object moving in a circle is given by the equation Fc = m\(v^2\)/r, where Fc is the centripetal force, m is the mass of the ball, v is the velocity of the ball, and r is the radius of the circle.
In this case, the mass of the ball is given as 7.30 kg, and the radius of the circle is 2.88 m. We need to find the velocity of the ball just prior to the release.
We are given that the ball moves upward on a curved path, which means it has both vertical and horizontal components of velocity. The velocity at the instant of release is directed 36.1 degrees above the horizontal.
To find the horizontal component of velocity, we can use the trigonometric relationship between the angle and the velocity components.
The horizontal component of velocity is given by vh = v * cosθ, where vh is the horizontal velocity and θ is the angle.
Using the given angle of 36.1 degrees, we can calculate the horizontal component of velocity: vh = v * cos(36.1) = v * 0.7986.
Since we don't have the value of v, we need to find it using the world record distance of 86.75 m. The horizontal distance traveled by the ball is equal to the circumference of the circle it moves in. Thus, 2πr = 86.75 m, which gives us r = 13.799 m.
Now, we can find the value of v by dividing the horizontal distance by the time it takes to travel that distance. Let's assume that the ball takes t seconds to complete one revolution.
Therefore, the time it takes to travel the world record distance is t = 86.75 m / (2πr) = 86.75 m / (2π * 13.799 m).
Now, we can calculate the horizontal component of velocity: vh = (86.75 m / t) * 0.7986.
With the horizontal component of velocity known, we can calculate the magnitude of the centripetal force using the formula Fc = m\(v^2\)/r. The magnitude of the centripetal force is Fc = m * (v\(h^2\) + v\(v^2\)) / r, where vv is the vertical component of velocity.
Since the ball is released at ground level, the vertical component of velocity just prior to release is zero. Thus, vv = 0.
Substituting the known values into the formula, we have Fc = 7.30 kg * (v\(h^2\) + 0) / 2.88 m.
Fc = (0.730116kg * \(v^2\)) / m.
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4,13,22 find the 35th term
Answers
Answer: 310
Step-by-step explanation:
1.Find your constant difference of the sequence by subtracting from left to right which is 9
2. find your fomula by using Tn=bn+C (b is your constant difference you can find C by C=T1 -b ) which will then give us 9n-5
3. T(35)=9n-5=9(35)-5=310
Let {X
n
,n∈N},{β
n
,n∈N}, and {Y
n
,n∈N} be 3 adapted sequences of finite positive random variables defined on the same probability space such that E(X
n+1
∣B
n
)≤(1+β
n
)X
n
+Y
n
,n∈N. This relation expresses the fact that {X
n
} is almost a supermartingale. Show that the limit
lim
n→[infinity]
X
n
exists and is finite a.s. on the event
A=[∑
n
β
n
<[infinity],∑
n
Y
n
<[infinity]]. (Hint: Consider the sequence {U
n
,n∈N} defined by U
n
=X
n
′
−∑
m
Y
n
′
where X
n
′
=X
n
/(1+β
1
)…(1+β
n−1
),Y
n
′
=Y
n
/(1+β
1
)…(1+β
n−1
) and also the stopping times v
a
=min{n:∑
m≤n
Y
m
/(1+β
1
)…(1+β
m−1
)>a}. Then observe that (a+U
v
a
∧n
,n∈N} is a finite positive supermartingale. )
Answers
The limit of Xn exists and is finite almost surely on the event A. To prove that the limit of Xn exists and is finite almost surely on the event A, we can use the given hint and the concept of supermartingales.
Let Un be a sequence defined by Un = Xn' - ∑(m≤n) Yn', where Xn' = Xn / [(1+β1)...(1+βn-1)] and Yn' = Yn / [(1+β1)...(1+βn-1)].
By constructing the stopping times va = min{n: ∑(m≤n) Ym / [(1+β1)...(1+βm-1)] > a}, we can define a new sequence (a+Uva∧n, n∈N) which is a finite positive supermartingale.
Since the sequence (a+Uva∧n) is a supermartingale, it is known that the limit of (a+Uva∧n) exists and is finite almost surely.
Now, by considering the properties of Un and the fact that Xn = Un[(1+β1)...(1+βn-1)], we can conclude that the limit of Xn = [(1+β1)...(1+βn-1)][(a+Uva∧n), n∈N] also exists and is finite almost surely on the event A.
Therefore, the limit of Xn exists and is finite almost surely on the event A.
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Mason purchased a rectangular poster that was 2.5 feet wide and 3.5 feet tall. He used decorative tape to make a frame around the edge of the poster.What is the length of the tape that he used around the edge of the poster?
Answers
Given:
Length of the rectangular poster = 2.5 feet.
Width of the rectangular poster = 3.5 feet
To find the length of the tape used around the edge of the poster, we simply need to calculate the perimeter of the rectangular poster.
That is;
Perimeter of a rectangle = 2l + 2w
Perimeter of the rectangular poster = 2(2.5) + 2( 3.5)
=5 + 7
=12
Therefore, the length of the tape that he used around the edge of the poster is 12 feet.
Answer this question please im really suffering thsnk you
Answers
Answer:
7. 6:14
I HOPE THIS HELP I WOULD APPRECIATE BRAINLIEST IF POSSIBLE :)
How much simple interest is earned on an investment of 1,250 if the money is invested for 5 years at an annual interest rate of 4.5%
Answers
Work Shown:
i = P*r*t
i = 1250*0.045*5
i = 281.25
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4.
2x2 + 3x − 20
2x2 + 13x − 1
2x2 + 13x − 20
2x2 + 3x − 1
Answers
Answer:
c
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
took the test
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
Answers
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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What is the measure of DC??
Answers
Answer:
113 - L O L Z - but its a obtuse angle
Step-by-step explanation:
Nine times the input minus seven is equal to the output. If the input is -1, what is the output?
0-16
0-2
0-72
02.
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(f(x) = 9x - 7\)
\(f( - 1) = 9( - 1) - 7\)
\(f( - 1) = - 9 - 7\)
\(f( - 1) = - 16\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Ann has 30% less money than mary, and jessica has 70% more money than mary. If the three of them have a total of $102, how much money does each girl have individually?.
Answers
If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7
What is meant by percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.
How to solve?
Ann has 30/100 * $x = $0.3x less money than Mary
Jessica has 70/100 * $x = $0.7x more money than Mary
Mary, Ann and Jessica have a total of $102
Mary + Ann + Jessica = $102
Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102
3Mary = $102 + $0.3x + $0.7x
3Mary = $102 + $1x
3Mary = $102 + $x
3Mary - $x = $102
2Mary = $102
Mary = $102/2 = $51
Ann = Mary - $0.3x = $51 - $0.3x = $50.7
Jessica = Mary + $0.7x = $51 + $0.7x = $51.7
Ann has $50.7, Mary has $51 and Jessica has $51.7.
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If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7
What is meant by percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.
Ann has 30/100 * $x = $0.3x less money than Mary
Jessica has 70/100 * $x = $0.7x more money than Mary
Mary, Ann and Jessica have a total of $102
Mary + Ann + Jessica = $102
Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102
3Mary = $102 + $0.3x + $0.7x
3Mary = $102 + $1x
3Mary = $102 + $x
3Mary - $x = $102
2Mary = $102
Mary = $102/2 = $51
Ann = Mary - $0.3x = $51 - $0.3x = $50.7
Jessica = Mary + $0.7x = $51 + $0.7x = $51.7
Ann has $50.7, Mary has $51 and Jessica has $51.7.
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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i am a student in need pls help me
Answers
Answer:
2*400= 2*400*1
2*400
800
or
2 x 400 = 2 x 100 x 4
100 x 4
= 400
I hope this helps:
Sorry if it didn't :(
Answer:
2 x 400 = 2 x 100 x 4
100 x 4
= 400
Step-by-step explanation:
Please helpppppppppppp
Answers
Answer:
678 ft²
Step-by-step explanation:
The opposite sides of the cuboid are congruent, thus surface area is
2(11 × 9) ← front and back + 2(11 × 12) ← top and base + 2(12 × 9) ← sides
= 2(99) + 2(132) + 2(108)
= 198 + 264 + 216
= 678 ft²
Grayson had 3.75 yards of fabric. He used 4/5 of the fabric. How many yards of fabric did Grayson use:
Answers
Answer:
3
The answer is 3 because:
4/5 of 3.75 is 3.
So, the answer should be 3.
Hope it helps!
which of the following are a solution to be inequality?
select all that apply
v is less then or equal to 7
v=7
v=5
v=9
v=12
Answers
2+2 (free easy answer)
Answers
Answer:
5-1, known colloquially as four, 4, or 1+3.
Step-by-step explanation:
Is 3+x always going to equal x+3
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
yes, this is not a trick question
, so yes
Step-by-step explanation:
x+ 3 going to equal x+ 3 is the same as saying x+3 = 3+x which is still the same thing as i learned from algebra in 8th grade and some aspect of it in 7th grade and 6th grade
Solve the equation A = bh for b.
Answers
Answer:
b=A/h
Step-by-step explanation:
To isolate b, you need to divide both sides by h. Therefore:
A=bh
b=A/h
Hope this helps!
Answer:
A/h =b
Step-by-step explanation:
A = bh
Divide each side by h
A/h = bh/h
A/h =b
The probability that two independent events both occur is the sum of the probabilities of each independent event. 4. When choosing a card randomly from a deck of cards, choosing a 5 or a spade are not
Answers
Answer:
(i) False
(ii) Selecting a 5 or a spade are not independent.
Step-by-step explanation:
(i)
Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.
If A and B are independent events then: \(P(A\cap B)=P(A)\times P(B)\)
Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.
Then for events A and B: \(P(A\cap B)=0\)
Thus, the statement is False.
(ii)
In a standard deck of 52 cards there are:
Spades = 13
Diamond = 13
Heart = 13
Clubs = 13
And each of these 13 cards are:
K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A
If a card labelled as 5 is selected then it could also be a Spade.
And if a spade is selected then the card could be labelled as 5.
So, selecting a 5 or a spade are not independent.
a box of candy hearts contains 52 hearts of which 20 are white, 10 are yellow, 8 are pink, 2 are purple, and 12 are green. if you select 7 pieces of candy randomly from the box, without replacement, what's the probability that: a. exactly three of the hearts are white? b. four are white, 1 is yellow, and 2 are green?
Answers
The probability of exactly three of the hearts are white is 0.3061
Total number of candy heart = 52
Number of white candy heart = 20
Number of yellow candy heart = 10
Number of pink candy heart = 2
Number of green candy heart = 12
You select 7 pieces of candy randomly from the box, without replacement.
The number of ways to select 3 white hearts out of 20
= C(20, 3) = 1140
The number of ways to select 4 non-white hearts out of 32
C(32, 4) = 35960
Total number of ways to select exactly three white hearts
= 1140 * 35960
= 41006400
The total number of ways to select 7 hearts out of 52
C(52, 7) = 133784560
Probability of selecting exactly three white hearts
41006400 / 133784560
= 0.3061
Therefore, the probability is 0.3061
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Which of the following statements is correct? a. The standard normal distribution does frequently serve as a model for a naturally arising population. b. All of the given statements are correct. c. If the random variable X is normally distributed with parameters u and o, then the mean of X is u and the variance of X is d. The cumulative distribution function of any standard normal random variable Z is P(Z = z) = F(z). e. The standard normal probability table can only be used to compute probabilities for normal random variables with parameters u = 0 and o = 1.
Answers
The standard normal probability table can only be used to compute probabilities for normal random variables with parameters μ = 0 and σ = 1. The correct statement among the given options is e.
a. The statement in option a is incorrect. While the standard normal distribution is commonly used as a model in various statistical analyses and is often used as an approximation for naturally arising populations, it does not always perfectly represent the characteristics of all naturally occurring populations.
b. The statement in option b is incorrect as not all given statements are correct.
c. The statement in option c is incorrect. If a random variable X is normally distributed with parameters μ and σ, then the mean of X is indeed μ, but the variance of X is σ², not "o" as stated in the option.
d. The statement in option d is incorrect. The cumulative distribution function (CDF) of a standard normal random variable Z is denoted as P(Z ≤ z), not P(Z = z). The CDF provides the probability that Z takes on a value less than or equal to a given value z.
Therefore, the correct statement is e, which states that the standard normal probability table can only be used to compute probabilities for normal random variables with parameters μ = 0 and σ = 1.
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