Answer:
14
Step-by-step explanation:
164 = 8x + 52
Subtract 52 from both sides
112 = 8x
Divide both sides by 8
14 = x
Answer:
since slope(m) = y2 -y1/x2- x1
-5 - 9/ -3 - (-3)= -14/0
m = -14/0 (undefined)
using the formula
y-y1 = m(x -x1)
y - 9 = -14/0(x - (-3)
y-9 = -14/0(x + 3)
0 = -14( x+3). (cross multiplication)
0 = -14x - 42
14x = -42
x = -3( equation of the line)
Answer:

Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the formula to find distance <em>d</em>:






Answer:
1) a.) Your confidence interval estimate is narrower
2) c.) The width of a confidence interval estimate for a proportion will be narrower for 90% confidence level than for a 95% confidence level
Step-by-step explanation:
Confidence Interval can be stated as M±ME where
- ME is the margin of error
Margin of Error determines the range of the confidence interval around the mean.
Margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level
- s is the standard deviation of the sample(or the population if it is known)
From the formula we can reach the following conclusions:
- As N increases, ME decreases.
- as confidence level increases, corresponding statistic increases, and thus margin of error increases.
Since your sample size (49) is bigger than your friend's (36), your confidence interval is narrower, because margin of error is narrower.
Since the confidence level 90% has smaller statistic than the confidence level 95%, its confidence interval is narrower.
That is, we can estimate <em>narrower</em> confidence intervals with less confidence.
To find volume you use the formula length×widght×height
12 × 7 × 17
Which equals 1428