Answer:33.6
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:



<h2>
Answer with explanation:</h2>
Given : Sample size 
Sample mean : 
Sample standard deviation : 
Let
be the population mean of "like" ratings of male dates made by the female dates.
As per question ,
Null hypothesis : 
Alternative hypothesis :
, It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)
Test statistic:

For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]
Since .001582< 0.05
Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.
Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.
Answer:
6752 cm³ of wood
Step-by-step explanation:
V = 40cm×34cm×30cm = 40800 cm³
v = 38cm×32cm×28cm = 34048 cm³
V - v = 40800cm³ - 34048cm³ = 6752 cm³ of wood
Answer:
Negative Correlation
Step-by-step explanation: