hope this helps
andddd yeaaaaaaa hope !!!!!!!
The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1
Answer:
both the first one
Step-by-step explanation:
use unit rate
The sum of prime factors of 2014 is 74
<h3><u>Solution:</u></h3>
Given that to find sum of prime factors of 2014
Let us first find the prime factors of 2014
A prime number is a whole number greater than 1 whose only factors are 1 and itself
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
<em><u>Prime factors of 2014:</u></em>
The Prime Factorization is:

Thus the prime factors of 2014 are 2, 19, 53
<em><u>Let us now find the sum of prime factors of 2014</u></em>
sum of prime factors of 2014 = 2 + 19 + 53 = 74
Thus the sum of prime factors of 2014 is 74
Answer:


Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And replacing we got:
Now we can calculate the critical value but first we need to find the degreed of freedom:

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old