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!
yes obtuse angles measure over 90 degrees and less 180 degrees
150 and the unknown angle next to it equal 180.
180 - 150= unknown angle
30 degrees= unknown angle
Then the triangle also equals 180 so we add the angles and solve for x
3x + 2x + 30= 180
5x + 30= 180
5x= 150
x= 30
3x= 3(30)= 90 degrees
2x= 2(30)= 60 degrees
Because the two angles on the right add to 180 degrees, we can create this system:

We can also prove that

, which, when solved, shows that

.
When plugged in to the original equation, we find that y = 105 degrees.
X/2=8/9 | *2
x=16/9≈ 1,78
2. 1 $.........1,09 Euro
x$...........157 Euro
x=157*1/1,09≈144,04 $