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.
It is false. Since you don't know what is the variable equal to. But multiplication can't be in associative property.
<h3>Henry drove the truck for 208 miles</h3>
<em><u>Solution:</u></em>
Given that,
Base fee = $ 18.95
Additional charge of $.79 for each mile driven
Let "x" be the miles driven
Henry had to pay $183.27 when he returned the truck
Therefore,
Cost for rent = base fee + charge for "x" miles
183.27 = 18.95 + 0.79x
0.79x = 183.27 - 18.95
0.79x = 164.32
Divide both sides by 0.79
x = 208
Thus Henry drove for 208 miles the truck
Answer:
D: x + (x+1) + (x+2) > 60
Step-by-step explanation:
Let
x = youngest brother age
x + 1 = older brother age
x + 2 = oldest brother age
Fathers age = 60
The inequality is
x + (x+1) + (x+2) > 60
x + x + 1 + x + 2 > 60
3x + 3 > 60
3x > 60 - 3
3x > 57
x > 57/3
x > 19
x + 1
19 + 1
20
x + 2
19 + 2
21
The oldest brother is no younger than 21
The youngest brother is no younger than 19
The oldest brother is 2 years older than the youngest brother since each are one year apart.
Answer:
The answer is 4.8cm³
Step-by-step explanation:
First, you have to find the length of BC using trigonometric identities :
sinθ = oppo/hypo
cosθ = adj/hypo
tanθ = oppo/adj
Given that ∠BAC = 45° so you can use tanθ to find length of AB :
tan45° = BC/3.6
BC = 3.6×(tan45°)
= 3.6cm
Now, find the volume of pyramid using V = (1/3)×base area×h :
h = BC = 3.6cm
base area = 2×2
= 4cm²
V = (1/3)×4×3.6
= 4.8cm³
