Answers
Given:
The distance between the two buildings on a map = 14 cm
The scale is 1:35000.
To find:
The actual distance in km.
Solution:
The scale is 1:35000.
It means 1 cm on map = 35000 cm in actual.
Using this conversion, we get
14 cm on map = [tex]14\times 35000[/tex] cm in actual.
= [tex]490000[/tex] cm in actual.
= [tex]4.9\times 1000o0[/tex] cm in actual.
= [tex]4.9[/tex] km in actual. [tex][1\text{ km}=100000\text{ cm}][/tex]
Therefore, the actual distance between two buildings is 4.9 km.
Related Questions
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of accidents provided the following data. Sunday= 64, Monday=53, Tuesday=55, Wednesday=49, Thursday=55, Friday=68, Saturday=76. Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the -value? Compute the value of the test statistic (to 3 decimals).
Answers
Answer:
Hence,
a)
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148
b)
Sunday= 15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,
Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.
Step-by-step explanation:
a)
relative observed Expected Chi square
Category frequency(p) [tex]O_{i}[/tex] Ei=total*p [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]
1 0.142857143 64.0 60.00 16.00 0.267
2 0.142857143 53.0 60.00 49.00 0.817
3 0.142857143 55.0 60.00 25.00 0.417
4 0.142857143 49.0 60.00 121.00 2.017
5 0.142857143 55.0 60.00 25.00 0.417
6 0.142857143 68.0 60.00 64.00 1.067
7 0.142857143 76.0 60.00 256.00 4.267
Total 1.000 420 420 556 9.269
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148 from excel: chidist(9.269,6)
b)
Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.
Category Percentage%
Sunday 15.23%
Monday 12.62%
Tuesday 13.10%
Wednesday 11.67%
Thursday 13.10%
Friday 16.19%
Saturday 18.09%
The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
if it takes the lorry ten hours we divide 400 by 10
40 mph
if it takes 15% longer that means it will take
10*1.15=11.5
if we divide 400 by 11.5
we get 34.7826086957
or 34.8
so the lorry travels 5.2 mph faster then the expected speed
Hope This Helps!!!
Solve for A
a=22/7•13/4^2
Answers
Answer:
A= ~2.55
Step-by-step explanation:
Using Pemdos, or gemdos, you can find you do the exponent first
4^2 = 16
then to everything else in left to right order since they're all multiplication or division
22/7 = ~3.14 * 13 = ~40.86/16 = ~2.55
(I'm using "~" to mean about/rounded to)
Solve 4^2=16
If u wanna uses the calculator write it like this:
(22/7)•(13/16)
Then u get the answer
Compute the product AB by the definition of the product ofmatrices, where Ab1 and Ab2 are computed separately, and by therow-column rule for computing AB.
Matrix A= [2 -2]
[3 4]
[4 -3]
Matrix B =
[4 -1]
[-1 2]
Answers
Answer:
[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right][/tex]
[tex]B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right][/tex]
Required
[tex]AB[/tex]
To do this, we simply multiply the rows of A by the column of B;
So, we have:
[tex]A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right][/tex]
[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]
Amber rode her bike around the park 4 times. It took her 9 minutes each time.
How many minutes did she ride in all?
Answers
Answer:
Amber rode for 36 minutes in total.
Step-by-step explanation:
Lets create a ratio table:
Time elpased (minutes) : Laps around park
9 : 1
36 : 4
Amber rode for 36 minutes in total.
đã đi 36 phút.
từng bước
9: 1
36: 4
Amber đã đi tổng cộng 36 phút.
2) A block of ice weighs 12 400 kg. It has the shape of a cylinder, with a radius of 1.2 m and
a height of 3 m. What is the density of the ice? Give your answer to one decimal place.
Answers
Answer:
= 3.6
Step-by-step explanation:
Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.
Density is simply mass / volume (kg / m3 ).
clarify its 1.2 x 3 = 3.6
12400 / 3.6 = 3.444 occuring
DJ Kenisha is making a playlist for a radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 5 reggae, 15 hip-hop, and 13 blues songs, and she wants to play an equal number of reggae, hip-hop, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.
Answers
Answer:
[tex]8.19 \times 10^{4}[/tex] different playlists are possible
Step-by-step explanation:
The order in which the songs are played is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
6 songs, so 2 reggae(from a set of 5), 2 hip hop(from a set of 15) and 2 blues(from a set of 13). So
[tex]T = C_{5,2}C_{15,2}C_{13,2} = \frac{5!}{2!3!} \times \frac{15!}{2!13!} \times \frac{13!}{2!11!} = 10*105*78 = 81900[/tex]
In scientific notations:
4 digits after the first, which is 8, so:
[tex]8.19 \times 10^{4}[/tex] different playlists are possible
What is the equation of the line that is perpendicular to the line defined by the equation 2y = 3x + 1 and goes through the point (3, 2)?
options:
y = - 1/3 x + 3
y = -2/3x + 4
y = 1/3x – 1
y = 2x – 4
y = 6x + 5
Answers
Answer:
Step-by-step explanation:
In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:
2y = 3x + 1 in slope-intercept form is
[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] . Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):
[tex]y-2=-\frac{2}{3}(x-3)[/tex] and
[tex]y-2=-\frac{2}{3}x+2[/tex] so
[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.
Larissa drives into a pool that is 8 feet deep she touches the bottom of the pool with her hands 6 feet horizontally from the point at which entered the water. What is the approximate angle of elevation from the point on the bottom of the pool where she touched her entry point
Answers
Answer:
53 degrees
Step-by-step explanation:
tan(theta)=8/6,
theta= [tex]tan^{-1} (\frac{8}{6} )=53.13 degree[/tex]
1. Rita is hiking along a trail that is 113.7 miles long. On the first day she hiked of 1 10 the distance of the trail. On the second day she hiked the same distance as the first day. How much of the trail does she have left to hike?
Answers
Answer:
She has 90.96 miles of the trail to hike.
Step-by-step explanation:
Length of the trail:
The length of the trail is of 113.7 miles.
On the first day she hiked of 1/10 the distance of the trail.
Thus:
[tex]\frac{1}{10(113.7) = 11.37[/tex]
On the first day she hiked 11.37 miles.
On the second day she hiked the same distance as the first day.
Also 11.37 miles on the second day, and thus, 2*11.37 = 22.74 miles on the first two days.
How much of the trail does she have left to hike?
113.7 - 22.74 = 90.96
She has 90.96 miles of the trail to hike.
To finance the purchase of several new cars ,the Lincoln car rental agency borrowed $ 110 000 for 9 months at an annual interest rate of 5% . What is the simple interest due on the loan?
Answers
Answer: 4125
Step-by-step explanation:
S.I = P X R /100 X T
S.I = 110000 x 5/100 x 9/12 = 4125
= 4125
Answer:
Jhhhuujjjjhfuudjdjdjdjdirr
Please help! What is the domain of the function shown in the graph?
Answers
Answer:
nnmb cgchmfxmgfmv vb , mnio qrstuvwxyz
abcdefghijklmnoprstuvxxyz
Step-by-step explanation:
now i know my abcs next time wont you sing with me
If 20% of a length is 23cm ,whathat is the complete length
Answers
Step-by-step explanation:
20% of the length is 23 cm
100% of the length is 23×5 = 115 cm
This is the answer
115*(20/100)=23 cm
Matt had 60 questions correct on a Percent’s Chapter Test that had 150 one-mark questions. What was his mark written as a percentage?
Answers
Answer:
His mark, as a percentage, was of 40%.
Step-by-step explanation:
Mark as a percentage:
His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.
In this problem:
60 questions correct out of 150. So
60*100%/150 = 40%
His mark, as a percentage, was of 40%.
What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) Select one: a. x = 3 pi over 2 , x = π b. x = pi over 2 , x = 3 pi over 2 c. x = 0, x = 2π d. x = 0, x = π
Answers
9514 1404 393
Answer:
b. x = π/2, x = 3π/2
Step-by-step explanation:
The maximum is found where the argument of the cosine function is a multiple of 2π.
2x -π = 2nπ
2x = (2n+1)π . . . . . . . add π
x = (2n+1) · π/2 . . . . . divide by 2
x = {π/2, 3π/2}
f(a)=|x-6|-|x+5|
evaluate
Answers
Alternative: 0.5 or 2^-1
If line r is parallel to —- ?
Answers
Answer:
the correct answer is 10
Can someone help PLSSS
Answers
Answer:
Step-by-step explanation:
Area stage = 1/2 h (ab +cd)
Area = 5(14+22)
meeting center Area = 180
room = 25*32 = 800
800-180 = 620 tile
620*$4.90 = $3038
So no not enough money....
Note: even if it was $2999 it still would not be enough because
you have to cut tiles to fit in corners and edges... Just having fun with that comment, the math problems sometimes don't take reality into account (ha ha ha)
What is the value of the expression 3m-4.2 If m equals 2.1
Answers
Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
Pleaseeee help is for today
Answers
Answer: a + ( 2a - 7 ) = 41
Explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:
a + 8 = 41
And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:
8 = 2a - 7
Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.
Then, this is:
a + ( 2a - 7 ) = 41
Hope it helps...
A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Interest amount paid on loan = $90
Principal value, amount borrowed = $500
Period, t = 16 days
The equivalent annual interest :
Using the simple interest formula :
simple interest = principal * rate * time
Using, days of year = 365
Plugging in the values into the formula :
90 = 500 * rate * (16/365)
90 = 500 * rate * 0.0438356
90 = 21.917808 * rate
Rate = 90 / 21.917808
Rate = 4.10 = 4.10 * 100% = 410%
If days of year = 360 is used :
90 = 500 * rate * (16/360)
Rate = 90 / 22.222
Rate = 4.05 = 4.105 * 100% = 405%
At the end of the week the mileage is 2834
Fayez knows he used 75.2 litres of petrol during this week.
The handbook states that the limousine uses 1 gallon of petrol for every 20 miles.
Fayez wants to know if his limousine used 1 gallon of petrol for every 20 miles that week.
1 gallon = 4.54 litres
Did his limousine use 1 gallon of petrol for every 20 miles that week?
Mileage = 2529
Answers
Answer: Yes
Step-by-step explanation:
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study. Higher scores correspond to greater pain levels. Is this study an experiment or an observational study?
Answers
The study conducted in the scenario above is an experimental study because the subjects were given treatment.
Observational study involves monitoring the relationship between variables through observation without giving any treatment during the course of the study.
Experimental study on the other hand involves the introduction of a treatment or intervention in other to study the cause and effect or relationship between the variables.
In the scenario above, the research intends to demonstrate the effectiveness of a treatment(magnets) for back pain. The presence of a treatment in this research study makes it an experimental study.
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Which congruence statement is correct?
Answers
Which point represents the value of -(-2) on the number line?
Answers
Answer:
2
Step-by-step explanation:
-(-2)
negative x negative always give positive .
=>2
You can easily represent 2 on number line
A class of 30 students ate 9 pizzas. How many pizzas would be needed for 40 students?
Answers
Answer:
12
Step-by-step explanation:
The ratio is 9:30
So for 40 people , it would be ?:40
Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas
Answer:
12 i think
Step-by-step explanation:
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,5).
O A. y- 5 = (x-4)
B. -5x+9y= 25
C. -5x +9y= 1
D. 5x-9y= 25
Answers
The linear equation of line passing through the (-14,-5) and (4,5) is given by -5x + 9y = 25
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( -14 , -5 )
Let the second point be Q ( 4 , 5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -5 - 5 ) / ( -14 - 4 )
Slope m = -10 / -18
Slope m = 5/9
Now , the equation of line is y - y₁ = m ( x - x₁ )
y - 5 = ( 5/9 ) ( x - 4 )
Multiply by 9 on both sides , we get
9y - 45 = 5x - 20
Adding 45 on both sides , we get
9y = 5x + 25
Subtracting 5x on both sides , we get
-5x + 9y = 25
Hence , the equation of line is -5x + 9y = 25
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A final statistics exam had a mean of 70 and a variance of 25. If Bruce earned an 80 on his exam, what is his score?
Answers
Answer:
2
Step-by-step explanation:
Value = 80
Mean = 70
Variance = 25
Standard deviation=root(Variance)=root(25)=5
z score = (value - mean)/standard deviation
= (80-70)/5
= 10/5
= 2
z-score using mean 70 and variance 25 is 2
Given :
A final statistics exam had a mean of 70 and a variance of 25
First we find out standard deviation using variance
standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]
Now we find out z-score
[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]
value =80
mean=70 and standard deviation =5
substitute all the values
[tex]z-score = \frac{80-70}{5} =2[/tex]
So, his z-score using mean and variance is 2
Learn more : brainly.com/question/10649097
In what time will #250 gain #120 at 2%
Answers
Answer: 24 years
Step-by-step explanation:
Based on the information given, we've been given,
Principal = #250
Interest = #120
Interest rate = 2%
Time = Unknown
Interest = PRT/100
120 = (250 × 2 × Time)
Cross multiply
120 × 100 = (250 × 2 × T)
12000 = 500T
Time = 12000/500
Time = 24
It will take 24 years.
Which row of the table reveals the y-intercept of function f?
Answers
Answer:
No solution is possible from the informatin provided.
Step-by-step explanation:
You didn't include the table,
Answer:
y intercept is found from the pair that has a 0 for the x variable.
Step-by-step explanation:
if a choice was (0,2) this would be the point where the line intercepts the y axis.
x=0 is the position of the vertical line, and 2 is how high up the graph the line passes through the y-axis