Answer:
The probability of selecting a black card or a 6 = 7/13
Step-by-step explanation:
In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.
According to the question we need to find out the probability of black card or 6. So we can write it as:
P(black card or 6):
The probability of selecting a black card = 26/52
The probability of selecting a 6 = 4/52
And the probability of selecting both = 2/52.
So we will apply the formula of compound probability:
P(black card or 6)=P(black card)+P(6)-P(black card and 6)
Now substitute the values:
P(black card or 6)= 26/52+4/52-2/52
P(black card or 6)=26+4-2/52
P(black card or 6)=30-2/52
P(black card or 6)=28/52
P(black card or 6)=7/13.
Hence the probability of selecting a black card or a 6 = 7/13 ....
Answer:
y-intercept is y= -4.5+28 slope is 4.5
Step-by-step explanation:
18x+4y=112
-18x -18x
4y=112-18x
-----------------
4
y= -4.5x+28
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:
The rental fee is 25
Step-by-step explanation:
Total cost = rental fee plus cost per hours * number hours
t = f + 8*h where t = total cost, f = rental fee, h = hours
73 = f + 8*6
73 = f+ 48
Subtract 48 from each side
73 - 48 = f+48-48
25 = f
The rental fee is 25