Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let 
and 
be the sample means of two sets of data of size 
and 
respectively. We assume that the distribution's of x and y are:
Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:
The random variable t is distributed 
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:
So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
That's just the distance between 2 points
the distance between (x1,y1) and (x2,y2) is
we can find the distance between S and Q or P and R
S and Q is (0,0) and (a,b)
distance between P and R is between(0,b) and (a,0)
so the lengths of diagonals are congruent
An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the first number be x.
Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,
Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.
Learn more about Equation:
brainly.com/question/2263981
Answer:
Step-by-step explanation:
f(x) = 1.8x is a linear function and does not model the growth of bacteria. Perhaps you meant f(x) = 1.8^x, which is an exponential function whose initial value is 1. Please ensure that you have copied down this problem exactly as it was presented.
Answer:
Infinite solutions.
Step-by-step explanation:
Let's solve your system by substitution.
3y=9x+15;3x−y=−5
Rewrite equations:
3x−y=−5;3y=9x+15
Step: Solve 3x−y=−5 for y:
3x−y=−5
3x−y+−3x=−5+−3x(Add -3x to both sides)
−y=−3x−5
−y −1 −1=−3x−5
(Divide both sides by -1)
y=3x+5
Step: Substitute 3x+5 for y in 3y=9x+15:
3y=9x+15
3(3x+5)=9x+15
9x+15=9x+15(Simplify both sides of the equation)
9x+15+−9x=9x+15+−9x(Add -9x to both sides)
15=15
15+−15=15+−15(Add -15 to both sides)
0=0
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