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Veseljchak [2.6K]
3 years ago
5

On a map, Melbourne, Australia, is 22 centimeters from Sydney, Australia. The actual distance is 880 kilometers. If Canberra, Au

stralia, is 286 kilometers from Sydney, how far apart will they appear on the map, to the nearest centimeter? 3 centimeters 7 centimeters 13 centimeters 68 centimeters
Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0
7 centimeters because you have to find how many kilometers are in each kilometer and that is 40 so then you divide 286 by 49 which is 7.15 then you round
IgorLugansk [536]3 years ago
7 0

Answer: 7 cm

Step-by-step explanation:

In the Map,

The distance of Australia from Sydney = 22 cm,

But, the actual distance of Australia from Sydney = 880 km,

Thus, In the map the scale is,

880 km = 22 cm

\implies 1\text{ km}=\frac{22}{880}= \frac{1}{40}\text{ cm}

\implies 286\text{ km}= 286\times \frac{1}{40}=\frac{286}{40}=7.15\text{ cm}\approx 7 \text{ cm}

Since, the actual Canberra from Sydney in the map = 286 km

Thus, the distance of Canberra from Sydney in the map = 7 cm (approx)  

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9. shyam travelled 8 km 52 m by bus, 2 km 265 m by car. how much distance did he travel in all
Eduardwww [97]

Shyam travel total  10km 317m  distance ,when he travelled  8 km 52 m  by bus and 2 km 265 m  by car .

How to find the total distance travel by Shyam ?

Shyam travelled distance by bus =8 km 52 m

Shyam travelled distance by car =2 km 265 m

Total distance travelled by shyam is

Total distance= distance travelled by car + distance travelled by bus

Total distance

=2 km 265 m+8 km 52 m\\=(2+8)km(265+52)m\\=10km317m

Learn more about the distance travel is here :

brainly.com/question/28048546

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7 0
2 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
Read 2 more answers
List 3 values that would make this inequality true 43 < y -30
prohojiy [21]
43 < y - 30
add 30 to both sides
73 < y

y can be anything that is greater than 73
so it could be...
101, 74, 90, 75, 980767, 5674, etc.

Hope this helps!
4 0
3 years ago
What is the solution to the system of linear equations?
Dmitry_Shevchenko [17]

Answer:

x = 5, y = -1/2

Step-by-step explanation:

3.5x - 5y = 20

3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)

3.75x + 5y = 16.25

–––––––––––––––––––––––

3.5x - 5y = 20

3.75x +5y = 16.25

7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)

7.25x=36.25

x=5 So now we have x=5 and to find y we can just plug in x into one of the equations

–––––––––––––––––––

3(5) + 4y = 13

15 + 4y = 13

4y = -2

y = -1/2

x = 5, y = -1/2

Then you can plug in both to check your answers.

4 0
3 years ago
A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if th
loris [4]

Answer:

389,120

Step-by-step explanation:

8 0
3 years ago
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