Answer:
13.57 < µ < 15.43
Step-by-step explanation:
Assume: We have to assume the sample comes from a normally distributed population because we do not know the population standard deviation.
We assume that it was a random sample.
Do not assume: The sample size is at least 30 because we are that it's 10. Don't assume the variance is less than the mean because we can calculate it and will know for sure.
To find a 90% confidence interval we need to find the sample mean and sample standard deviation. See attached photo 1 for the calculations
See attached photo 2 for the construction of the confidence interval
Answer:
At least 75% of these commuting times are between 30 and 110 minutes
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by 
.
In this question:
Mean of 70 minutes, standard deviation of 20 minutes.
Since nothing is known about the distribution, we use Chebyshev's Theorem.
What percentage of these commuting times are between 30 and 110 minutes
30 = 70 - 2*20
110 = 70 + 2*20
THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes
Slope: (y2-y1)/(x2-x1)
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5
Answer:
<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
