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:
5
Step-by-step explanation:
x = -6
-4x + y = 29
substitute x = -6 in -4x + y =29
-4(-6) + y = 29
24 + y = 29
subtract 24 from both sides
24 - 24 + y = 29 - 24
y = 5
Joel = j, Mark = m, Sandra = s
j + m + s = 120
m = 3j
j = 1/2 s --> s = 2j
plug in (substitute) each letter to make it in terms of only j: j + m + s = 120
j + 3j + 2j = 120
6j = 120
6j/6 = 120/6
j = 20
now plug in for the j & s equation:
s = 2j = 2(20) = 40
Therefore Sandra has 40 coins!
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer: 38.9
Step-by-step explanation:
Add all the numbers together and divide the sum by how many numbers there are.
