Let’s take x as the price of a taco and y as the price of a serving of nachos.
22x + 17y = 71.05. First order
10x + 5y = 27.25. Second order
Multiply the first order by 5 and the second order by 11
110x + 85y = 355.25
110x + 55y = 299.75
Subtract
30y = 55.5
y = 1.85
So 10x + 5x1.85 = 27.25
10x = 27.25 - 9.25 = 18
x = 1.8
So each taco cost $1.80 and an order of nachos cost $1.85
Answer:
0.88m²
Step-by-step explanation:
Area of a trapezium = 1/2(a+b)h
a and b are the parallel sides
h is the height
Given
a = 1m
b = 1.2m
h = 0.8m
Substitute
Area of the trapezium = 1/2(1+1.2)(0.8)
Area of the trapezium = 1/2(2.2)(0.8)
Area of the trapezium = 1.1 * 0.8
Area of the trapezium = 0.88m²
Answer:
2x² - 5x - 3
Step-by-step explanation:
Given
(x - 3)(2x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 1) - 3(2x + 1) ← distribute parenthesis
= 2x² + x - 6x - 3 ← collect like terms
= 2x² - 5x - 3
Answer:
The statistical conclusion is:
a) Your results are significant; one's willingness to wear masks is not independent of one's age.
Step-by-step explanation:
From this experiment,
The null hypothesis is established as:
H 0 = one's willingness to wear masks is independent of one's age.
The alternate hypothesis is established as:
H 1 = one's willingness to wear masks is not independent of one's age.
In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.
Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance. Thus, the null hypothesis is rejected.
Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.
