Answer: 56.52 Units^2
Step-by-step explanation:
The equation to find the area of a semi circle is (Area= Pi * Radius^2 / 2)
The equation I created was 3.14*6^2/2 and after calculating is how I came up with the answer.
Answer:
a) X[bar]₁= 1839.20 cal
b) X[bar]₂= 1779.07 cal
c) S₁= 386.35 cal
Step-by-step explanation:
Hello!
You have two independent samples,
Sample 1: n₁= 15 children that did not eat fast food.
Sample 2: n₂= 15 children that ate fast food.
The study variables are:
X₁: Calorie consumption of a kid that does not eat fast food in one day.
X₂: Calorie consumprion of a kid that eats fast food in one day.
a)
The point estimate of the population mean is the sample mean
X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal
b)
X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal
c)
To calculate the sample standard deiation, you have to calculate the sample variance first:
S₁²=
[∑X₁² - (( ∑X₁)²/n₁)]=
= 149263.4571 cal²
S₁= 386.35 cal
I hope it helps!
Answer:
See the graph of the given linear equation shown below.
Explanation:
Given the linear equation : x+y = -2
We make a table for values of x and y;
x y = -2-x
0 -2
-2 0
1 -3
Now, plot these three points (0, -2) , (-2, 0) and (1, -3) on the coordinate plane.
You can see the graph as shown below.
Answer:
x ≈ 33.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x =
=
, then
x =
(
) ≈ 33.1° ( to the nearest tenth )
Let us first find the equation for the distance as a function of time in the form:
d=mx+b
m=(d2-d1)/(x2-x1)
m=(2160-2700)/(1-0)
m=-540
d=-540x+b, using point (0,2700) we can solve for b
2700=-540(0)+b
2700=b so
d(x)=-540x+2700
A) The y-intercept is the constant of our distance function (the distance when x, time, equals zero). In this case d=2700 is the y-intercept. This means that the initial distance from the destination was 2700 miles.
B) Since this is just a line and has a constant velocity, its average velocity will just be the constant velocity or slope. But mathematically we could show this to be true. Average velocity is change in distance divided by change in time.
v=(540-2160)/(4-1)
v=-1620/3
v=-540 mph
C)
The domain of a function is the possible x values in the proper context. First time cannot be less than 0. The other extreme for time is when the plane reaches its destination, when d=0, which is when:
-540x+2700=0
540x=2700
x=5.
So the plane reaches its destination after 5 hours. So the domain, the x values, for d=-540x+2700 is
x=[0,5]