<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 .
5x4= 20
50x40=200
500x400=200000
Do you see the pattern? 5x4=20, which means that all you need to do is add the zeros. 50x40 has two zeros, which means it should equal 200.
Answer:
$27.34
Step-by-step explanation:
250 miles divided by 32 miles per gallon equals 7.8125 which is the number of gallons needed. Then multiple 7.8125 by the cost per gallon $3.50 to determine the cost of the fuel needed.
Answer:
<h2>F=ma</h2><h3>mass:4kg </h3><h3>acceleration:8m/s²</h3><h3>F=4 x 8</h3><h3>F= 32N</h3>
Answer:
y = 24
Step-by-step explanation:
5/4y-18=y/2
Multiply by 4 on all sides to get rid of the fractions
4(5/4y-18)=4*y/2
5y - 72 =2y
Subtract 5y from each side
5y-5y - 72 =2y-5y
-72 = -3y
Divide by -3
-72/-3 = -3y/-3
24 =y