If the distance between two locations is actually 55 miles
1 answer:
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Answer:
Step-by-step explanation:
Let x be the number
- Write it out: -26x - 22 = x - 90
- Combine like terms: -27x + 68 = 0
- Subtract 68 from each side, so it now looks like this: -27x = -68
- Divide each side by -27 to cancel out the -27 next to x. It should now look like this:
I hope this helps!
Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
