Answer:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Step-by-step explanation:
Data provided
represent the sample mean for the chloride concentration
population mean (variable of interest)
s=0.0012 represent the sample standard deviation
n=15 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
Since we need to find the critical value first we need to begin finding the degreed of freedom
The Confidence is 0.95 or 95%, the significance would be 
and 
, and the critical value for this case with a t distribution with 14 degrees of freedom is 
And the confidence interval is:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Same as all the other ones like this.
Since the two figures are similar . . .
-- The ratio of of their volumes is R³ .
-- The ratio of their surface areas is R² .
-- The ratio of their dimensions is R .
So R³ is 729 / 2744 .
Take the cube root of that and you'll have R .
Then square R and you'll have the ratio of their surface areas.
Answer:
a. 20
Step-by-step explanation:
just multiply 5 and $4 by 4
Answer:
perpendicular
Step-by-step explanation:
start but putting each line into the standard line format
2x-y=-5
-y=-2x-5
y=2x+5
x+2y=-6
2y=-x-6
y=-(1/2)x-3
if lines are parallel the slopes would be the same. 2 is not equal to -1/2
if lines are perpendicular the slope of one would be the opposite inverse of the other.
negative inverse of 2 = - (1/2)
so the lines are perpendicular
<u>To find the area of a complex shape</u>:
⇒ must split into simpler shapes
- a rectangle of <u>8m by 7m</u>
- a rectangle of <u>2m by 8 m</u>
<u>Now let's find</u>:
- Area of a rectangle of <u>8m by 7m</u>
- Area of a rectangle of <u>2m by 8m</u>
<u>Total Area</u> = 56 + 16 = <u>72 m²</u>
<u>Answer: 72 m²</u>
Hope that helps!
