Answer:
5/6 chance
Step-by-step explanation:
If we were to look as 1 hour as a 2 halves, and we have 3 hours, from 9 to 12, we can do 2 halves x 3 hours to equal 6, thus have a probablity out of 6. If you were to be there without leaving, there would be 6/6 times, meaning you wouldn't miss him, but since there is a half hour you are gone, the fraction then becomes 5/6 instead of 6/6. In this case, there is a 5/6 chance that you will be home the same time the repair person comes.
Answer:
0
Step-by-step explanation:
log 1/256 - log 125/4
= log ( 1/256 * 4/125)
= log (1/8000)
log (1/8000) - 3 log 1/20)
Now 3 log 1/20 = log (1/20)^3 = log (1 / 8000) so we get
log (1 / 8000) - log (1 / 8000)
= 0
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample proportion is 
The sample size is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

=> 
=> 
The p-value is mathematically represented as

Form the z-table

=> 
=> 
Given that
we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim