Answer:
$15600
Step-by-step explanation:
Minimum number of samples can be calculated using the formula:
N≥
where
- N is the sample size
- z is the corresponding z-score for 95% confidence level (1.96)
- s is the standard deviation of the calorie consumption (450 cal.)
- ME is the margin of error that the researcher is willing to accept. (50 cal)
N≥
=311.2
Therefore, minimum required sample size for 50 cal standard error in 95% confidence is 312
Since the survey costs $50 for each person then the survey costs minimum
50*312=$15600
The lateral area is the area of everything but the base. A shortcut formula for this area is Ph. (where P is the perimeter of the base and h is the height of the prism).
So the lateral area is (3+9+9.49)x37 = 795.13 m^2 or 795 m^2
The surface area is the lateral area plus the area of the 2 bases. The base is a triangle. (area = 1/2 bh)
Since there are two identical bases, the total area of the base is just 3x9 = 27
So the surface area is 795.13 + 27 = 822.13 m^2 or 822 m^2.
Answer:
x = 1
y = 3
Step-by-step explanation:
2x + 1 = y ------- eqn (1)
2y = 6--------eqn (2)
from eqn(2)
2y = 6
y = 3
when you divide 6 by 2y
substitute y = 3 into eqn (1)
2x + 1 = y
2x + 1 = 3
2x = 3-1
2x = 2
therefore
x = 1
Answer:
f(-x)= -f(x) so, the given function 
is Odd
Step-by-step explanation:
We need to determine if the function is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function is Even, Odd, or Neither.
As f(-x)= -f(x) so, the given function is Odd
<span>Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept
7x = 14y - 8
7x + 8 = 14y {added 8 to each side}
(1/2)x + (8/14) = y
slope is 1/2
A line perpendicular would have a slope of -2 {the negative reciprocal of 1/2}
#1 y = -2x - 7 {it is the only one with a slope of -2}</span>
