Answer:
12 bags of popcorn and 4 sodas
Step-by-step explanation:
Quantity: Popcorn =3x Sodas=x
Value: Sodas - $4.50, Popcorn - $1.50
Total Value: $36
3x(1.5)+4.5x=36
4.5x+4.5x=36
9x=36
x=4
Therefore, 12 bags of popcorn and 4 sodas
Answer:
Step-by-step explanation:
Hello!
The parameter of interest is "the population proportion of people that like soccer A news channel"= p
The hypothesis are:
H₀: p = 0.45
H₁: p ≠ 0.45
To study the population proportion you have to use the approximation of the standard normal distribution:
≈ N(0;1)
A sample of n=30 was taken and surveyed, 18 of those answered positively, then the sample proportion is:
p'= 18/30= 0.6
The statistic under the null hypothesis is:

I hope it helps!
Answer:
a(n) = -3 - 2(n-1)
Step-by-step explanation:
The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is
a(n) = a(1) + c(n-1), where c is the common difference.
Here a(1) = -3 and c = -2.
Thus,
a(n) = -3 - 2(n-1).