Answer:
x=5
Step-by-step explanation:
I'm pretty sure it's x=5 because if you multiply that and the quadratic function it is -12 1/2 not 12 1/2 (hope this helps :)
P(B | A) = probability of B given A
P(B | A) = P(B and A) / P(A)
thus
P(new oil filter | oil change) = P(both) / P(oil change)
= 0.14 / 0.25
(b) = 0.14 / 0.4
Answer:
0.1419 ( (if upper and lower cases are interchangeable)
0.348 ( if upper and lower cases are distinct letters)
Step-by-step explanation:
Each digit has 36 possible choices as 26+10
computer generates six characters
there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)
For number of letters-only arrangements =
= 308915776
For number of alphanumeric arrangements =
= 2176782336
In order to find the probability of letters-only arrangements : 
=><u>0.1419</u>
Now, in different scenario if upper and lower cases are not interchangeable.
We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices
Therefore, probability of letters-only arrangements will be 
=<u>>0.348</u>
Answer:

So on this case the best option for the answer would be:
between .01 and .025
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k =4 represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
We can find the 
And 
And the we can find the F statistic 
And with that we can find the p value. On this case the correct answer would be 3 for the numerator and 16 for the denominator.

So on this case the best option for the answer would be:
between .01 and .025
Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260

z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :


A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).