Remark
What this is trying to tell you is that you have two factors. Each in turn can be zero, but they cannot be zero at the same time. You will get that kind of question, just not now.
So either - n = 0 or 5n - 4 =0
Solution
- n = 0 Multiply both sides by - 1
(-1)*(-n) = 0*-1
n = 0
5n - 4 = 0 Add 4 to both sides.
5n = 4 Divide by 5
n = 4/5
Comment
B and D are both wrong 4/5 is positive. and those list n as -4/5 which is wrong.
A is wrong because the function will not go to 0 if n = -1
Answer
C <<<<Answer
Answer:
The degrees of freedom are
And the p value for this case is:
The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value
System of hypothesis
We want to verify if the average amount of coffee per cup is different from 7 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The degrees of freedom are
And the p value for this case is:
The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Answer:
A geometric sequence is an ordered list of numbers in which each term after the ... By utilizing the common ratio and the first term of a geometric sequence, we can sum ... His method was to dissect the area into an infinite number of triangles.
Step-by-step explanation:
easy
Answer:
y = (x - 5)(4x + 1)
Step-by-step explanation:
The given function y = 4x^2 -19x - 5
Here we have to find the AC method.
Identify the value of A, B and C
A = 4 , B = -19 and C = -5
AC = 4*-5 = -20
Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19
Factors are -20 and 1
1 * -20 = -20
1 + (-20) = -19
y = 4x^2 -19x - 5
This can be written using the factors
y = 4x^2 - 20x + 1x - 5
Now let's factor by group the first two terms, then second two terms.
y = 4x (x - 5) + 1(x - 5)
y = (x - 5)(4x + 1)
That's the answer.
Hope this will helpful.
Thank you.