Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.
Therefore, since angles on a straight line is 180°, thus:
x + 49 + 28 = 180
Answer:
<em>Ct = 4075 + 368d</em>
Step-by-step explanation:
<u>Function Models</u>
A company rents out food booths and game booths at the county fair.
For a food booth, the company charges a fixed fee of $175 and a variable fee of $10 per day. If d is the number of days, then the charges for a food booth are:
Cf = 175 + 10d
Similarly, the company charges $50 plus $9 per day for a game booth, thus the total charges are:
Cg = 50 + 9d
If all the booths are rented for the entire time, the total amount the company is paid for 17 food booths and 22 game booths is:
Ct = 17Cf + 22Cg
Substituting:
Ct = 17(175 + 10d) + 22(50 + 9d)
Operating:
Ct = 2975 + 170d + 1100 + 198d
Simplifying:
Ct = 4075 + 368d
Answer:
<h3>-x+3</h3>
Step-by-step explanation:
Given the expression
-x^2 + x + 3 x - 3
Factorize
(-x^2 + x) + (3 x - 3)
-x(x-1)+3(x-1)
= (x-1)(-x+3)
Hence one of the quotient is -x+3
Answer:
-35 - 5
Step-by-step explanation:
2 + 12 = 14, which is positive
(-3) * (-8) = 24, which is positive
10 - (-18) = 10 + 18 = 28, which is positive
-35 - 5 = -40, which is negative