The vertex is ( 1, -16 ).
<h2>
Answer with explanation:</h2>
Let
be the population mean.
By analyzing the given information, we have the following hypothesis:-

Since the alternative hypotheses is left tailed so the test is a right-tailed test.
Also, the accuracy ratings of people in the general population are normally distributed.
Given : Sample size : n=51 , since n>30 so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


Critical value (one-tailed) corresponds to the given significance level :-

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to accept that people are less able to identify emotions correctly when they are extremely tired .
Answer:
C. 3⁶
Step-by-step explanation:
Exponents with the same base follow this exponential rule for division:
When the bases are the same, we can subtract the exponents.
The bases are the same in this problem: 3. Therefore, we can subtract the exponents from each other:
The final and correct answer is C. 3⁶.
Answer:
C. If she's expecting a tax refund, e-filing can expedite the refund from the IRS.
Step-by-step explanation:
Filing the tax return electronically provides some benefits like doing it in an easy way as the website has a step by step process that guides people through it and it allows to be more accurate as the program checks what you do. Also, it helps to save time and it allows to receive the tax refund faster because e-filing give you the possibility to ask for a deposit on your account instead of waiting for a check to arrive. According to this, the answer is that Kiara will benefit from e-filing because if she's expecting a tax refund, e-filing can expedite the refund from the IRS.