Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
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)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
The circumference of the circle is 762π cm.
<h3>What is length of arc of a circle?</h3>
The length of arc a circle can is determined with the radius and central angle of the arc.
The radius of the circle is calculated as follows;

The circumference of the circle is calculated as follows;

Learn more about circumference of a circle here: brainly.com/question/9782777
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Last one is correct
good luckkkkkkk
Answer:
So I would say any one of the following:
(1-.2)p
p-.2p
.8p
Step-by-step explanation:
If you start with price p and you are getting it marked down 20%, then you are paying (100-20)%p.
So you have:
(1-.2)p
or if you use distributive property:
1(p)-.2(p)
p-.2p
or if you combine the like terms:
.8p