What is the scale if 3 cm on the map correspond to 120 km in the actual distance

Mathematics

2 answers:

Anit [1.1K]2 years ago

8 0

Answer:

1 cm : 40 km.

Step-by-step explanation:

We are asked to find the scale factor of a map, when 3 cm on the map correspond to 120 km in the actual distance.

To find scale of the map, we will divide actual distance by distance on map as:

$\frac{\text{ 120 km}}{\text{3 cm}}=\frac{\text{40 km}}{\text{cm}}$

Since 1 cm on map corresponds to 40 km in the actual distance, therefore, the scale is 1 cm : 40 km.

Ivan2 years ago

3 0

1 cm would become 40 km in actual distance.

You might be interested in

In one or two sentences briefly describe the functions of the structures of the immune system:

CaHeK987 [17]

Answer is F because of bones

4 0

1 year ago

Read 2 more answers

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$