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valentinak56 [21]
3 years ago
14

On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0

Answer:

x = 175 km

Step-by-step explanation:

We can use ratios to solve this problem.  Put the map distance over the real life distance.

1 cm      7 cm

--------  = ---------

25 km    x km

Using cross products.

1 * x = 7 * 25

x = 175 km

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stiv31 [10]

Answer:

2√133

Step-by-step explanation:

a²+b²=c²

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3 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

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