Answer:
Step-by-step explanation:
Given
Required
Determine the test statistic
Let the dataset of stick be A and Liquid be B.
We start by calculating the mean of each dataset;
n, in both datasets in 6
For A
For B
Next, calculate the sample standard deviation
This is calculated using:
For A
For B
Calculate the pooled variance
Lastly, calculate the test statistic using:
We set
So, we have:
The equation becomes
<em>The test statistic is 31.29</em>
Answer: A
Step-by-step explanation:
A. yes because -52 and -32 are separated by a distance of 20 units
B. no because -3.4 and 2.2 are not separated by more than 5 units
C. no because -4.2 and 1.3 are not separated by more than 5 units
D. no becasue 5 and 1 are not separated by more than 5 units
Answer:
450$
Step-by-step explanation:
100%-20%=80%
If 80% is 360$
20%=360$÷4
=90$
360$+90$=450$
If a polynomial P(x) has a zero equal to
a, then (x-a) is a factor of this polynomial. So if a polynomial has zeros
a,
b and
c then it has we could write:
P(x)=(x-a)(x-b)(x-c).
Here we can clearly see that a, making the left hand side 0 because of the factor (x-a), makes the left hand side 0 as well. This means that P(a)=0. This illustrates the discussion above.
Thus, substituting a, b, c with <span>−3, 3, 2 we can write P(x)=(x+3)(x-3)(x-2).
We can expand the right hand side to have the polynomial in standard form:
</span>
We see that all conditions are satisfied.
<span>
Answer: </span>
<span>
</span>
The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
from 0 to 2. Filling in our upper and lower bounds we have
which simplifies to
and
which is 17/3 or 5.667