The correct proportion that can be used to find the actual distance represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
Given that 3 inches on a map represents 50 miles.
We are told to find the proportion which can be used to represent 5 inches.
Multiplication is basically finding the product of two numbers but it can be used to convert the units also.
If 3 inches represents 50 miles then,
1 mile=50/3
Multiply both sides by 5.
5 miles=5*50/3
If we see the options then we will get that the most appropriate and correct option which represents 5 inches is that start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
Hence the correct proportion that can be used to find the actual distance represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
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Answer: D. The area is 50 square meters if the shaded area looks like .
Explanation:
assuming this is a rectangle, the larger region area is 15*5= 75 square meters.
The smaller region’s area would be 10*5= 50 square meters.
• remember that A=lw, where l is length and w is width.
Without an illustration & on the assumption this is a rectangular region, here are the conclusions:
• given these two areas,
If the shaded area looks like , the area is just 50 square meters because the dimensions needed to solve for the area were given.
OR
• If the shaded region looks like subtract the smaller area from the larger one: 75-50= 25 square meters. (However, given that this is not an answer choice, I don’t think the illustration would look like this).
Answer:
The answer would be .03. How I solved the problem is I moved the decimal of .21 two places to the right resulting in 3. Then I moved the decimal back after getting the answer resulting in .03
Step-by-step explanation:
Answer:
0.789
Step-by-step explanation:
First, find the expected value (the mean).
μ = ∑ x P(x)
μ = (0) (0.359) + (1) (0.436) + (2) (0.180) + (3) (0.025)
μ = 0.871
Next, find the variance.
σ² = ∑(x − μ)² P(x)
σ² = (0 − 0.871)² (0.359) + (1 − 0.871)² (0.436) + (2 − 0.871)² (0.180) + (3 − 0.871)² (0.025)
σ² = 0.622
Finally, find the standard deviation:
σ = √0.622
σ = 0.789
When lines are perpendicular, they slopes are opposite reciprocal. Opposite reciprocal means that the slope is flipped and then changed from negative to positive.
