Complete Question
ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.
a. What is the value of the sample test statistic? (Round your answer to two decimal places.)
b. Find the P-value of the test statistic. (Round your answer to four decimal places.)
Answer:
a) 
b) 
Step-by-step explanation:
From the question we are told that:
Probability of Wishart and Leach 
Population Size 
Sample size 
Therefore


Generally the Null and Alternative Hypothesis is mathematically given by


Test Statistics



Therefore P Value is given as




Answer:
441/4
Step-by-step explanation:
Find the GCD of numerator and denominator
GCD of 1323 and 12 is 3
Divide both the numerator and denominator by the GCD
1323 ÷ 3
12 ÷ 3
Reduced fraction:
441/4
________
Hope this helps!
-Lexi
Answer:
12 sq. ft.
Step-by-step explanation:
A=1/2bh
triangle 1: 1/2x2x4=4
triangle 2: 1/2x4x4=8
4+8=12
The intercepts for this equation is (1/2,-2) I hope this helps
Hello there!
An equation to model this situation is 3n - 50 = -11
The unknown number has a value of 13.
Okay, so let's start by breaking down the question - we'll use <em>n</em> to model the unknown number.
-50 added to three times an unknown number equals -11?
This means we are adding -50 to something else. (We can use + -50 or - 50 since they are the same thing, I'll use - 50 since it's easier to follow.)
-50 added to three times an unknown number equals -11?
This phrase can be modeled as 3n. This is what we are taking 50 from, so we can add that to the end of the equation so far.
3n - 50
-50 added to three times an unknown number equals -11?
This can means the equation equals -11. We can model it as = -11. Now, let's add it to our equation.
3n - 50 = -11
Now, solve for n.
You want to start by canceling -50 out on the left side, so n is on it's own side, and to do this you add 50 to both sides.
3n - 50 + 50 = -11 + 50
3n = 39
To finish isolating n, divide both sides of the equation by 3.
3÷3n = 39÷3
n = 13.
I hope this helps and have a great day!