Answer:the cost of renting one movie is $1.5
the cost of renting one video game is $5.2
Step-by-step explanation:
Let x represent the cost of renting one movie.
Let y represent the cost of renting one video game. One month melissa rented 12 movies and 2 video games for a total of $29. This means that
12x + 2y = 29 - - - - - - -1
The next month she rented 3 movies and 5 video games for a total of 32$. This means that
3x + 5y = 32 - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 2, it becomes
60x + 10y = 145
6x + 10y = 64
Subtracting,
54x = 81
x = 81/54 = 1.5
Substituting x = 1.5 into equation 2, it becomes
3x + 5y = 32
3×2 + 5y = 32
5y = 32 - 6 = 26
y = 26/5 = 5.2
The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
Answer:
c^2 = 6^2 -8
Step-by-step explanation:
The square of c is c^2; the square of 6 is 6^2. for the former to be 8 less than the latter, we must have ...
c^2 = 6^2 -8
Answer:
Step-by-step explanation:
Given that :
Mean = 7.8
Standard deviation = 0.5
sample size = 30
Sample mean = 7.3 5.4772
The null and the alternative hypothesis is as follows;
The test statistics can be computed as :
The p-value at 0.05 significance level is:
p-value = 1- P( Z < -5.4772)
p value = 0.00001
Decision Rule:
The decision rule is to reject the null hypothesis if p value is less than 0.05
Conclusion:
At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.
Answer:
5
Step-by-step explanation:
let
age of women = w
age of daughter = d
4d = w
w+5 = 3d
4d+5=3d
d=5
