A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4-topping sandwich?
1 answer:
There are 7,315 different combinations, thus, the correct option is c
<h3>How many combinations are there?</h3>
If we have a set of N elements, the number of different combinations of K elements (such that K ≤ N) of these N elements that we can make is:
In this case we have K = 4 and N = 22, replacing that, we get:
So there are 7,315 different combinations, thus, the correct option is c.
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Answer:
T = 4.541
Step-by-step explanation:
We don't have the standard deviation for the population, so we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of . So we have T = 4.541
Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
