Step-by-step explanation:
a) f(1) = -1 → x = -1
b) g(1) = Undefined
c) f(x) = 1 → x= Undefined
d) g(x) = 1 → x= 5
Answer:
<u>The answer is :</u>
<u>x₁ = 4</u>
<u>x₂ = -4</u>
Step-by-step explanation:
Let's solve the equation using square roots.
X^2+16=0
x² + 16 = 0
x² = -16 (Adding 16 at both sides of the equation)
√x² = i√16 (Square root to both sides of the equation)
x = +/- 4i (Roots of the solution)
<u>x₁ = 4i</u>
<u>x₂ = -4i</u>
<span> Compatible numbers are numbers that look nice or friendly with each other when we do mental calculation to estimate a product, but especially a division</span>
Answer:
the probability having no customers are in the system is 0.375
Step-by-step explanation:
The computation of the probability having no customers are in the system is as follows;
Given that the arrival rate is 1.25 customers per minute
The Service rate is 2 customers per minute
Based on the above information, the probability is
Hence, the probability having no customers are in the system is 0.375
Answer:
Option A
The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
Step-by-step explanation:
Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.
If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0
though this doesn't mean we accept H0 automatically.
Now, applying this to our question;
The p-value is 0.023 while the significance level is 0.05.
Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
The only option that is correct is option A.
