Answer: just graph these two equations
option a: y = 5x + 10
option b: y = 7.5x
and then tell at what number of event would having a card and not having a card is cheaper.
Step-by-step explanation:
the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value
Answer:
Step-by-step explanation:
Given sin²∅ + sin∅ = 1, we are to find the value of sin²∅ + sin⁴∅. ... 2
From sin²∅ + sin∅. = 1; sin²∅ = 1 - sin∅. ... 3
Substitute equation 3 into 1
sin²∅ + sin⁴∅
= sin²∅ + (sin²∅)²
= (1 - sin∅)+( 1 - sin∅)²
open the parenthesis
= 1 - sin∅+ (1-2sin∅+ sin²∅)
= 1 - sin∅+ 1-2sin∅+ sin²∅
= 1+1-sin∅-2sin∅+sin²∅
= 2 - 3sin∅+sin²∅
Since sin²∅ = 1 - sin∅, the resulting equation becomes;
= 2 - 3sin∅+(1 - sin∅)
= 2 - 3sin∅+1-sin∅
= 3-4sin∅
Answer:
see explanation
Step-by-step explanation:
If the triangle is right then by Pythagoras' identity, the longest side ( hypotenuse) will be equal to the sum of the squares on the other 2 sides.
Given sides 3, 5 and 6 ( the longest side ), then
6² = 36
3² + 5² = 9 + 25 = 34 ≠ 36
Thus the given sides do not make a right triangle
Answer:
Ishaan could make 7 possible combinations of meals.
Step-by-step explanation:
Number of subsets in a set of n elements:
The number of subsets in a set of n elements is given by: 
In this question:
3 dishes.

only one, two of them, or all three of the dishes.
Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7
Ishaan could make 7 possible combinations of meals.
Answer
test statistic
P-value 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first sample mean is 
The first standard is 
The second is 
The second sample mean is 
The second standard deviation is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=>
Generally degree of freedom is mathematically represented as

=> 
=> 
From the student t distribution table the probability value to the left that corresponds to
at a degree of freedom of
is
