Since (5/31)/(15/23)=(5/31)*(23/15) (by finding the reciprocal and multiplying), we get 115/465. Since they are both divisible by 5, we learn that 5 goes into 115 23 times and into 465 93 times (since 465/5=93), resulting in 23/93. Since 23 is a prime number (their only factors are 23 and 1), we end there
Answer:
C- There is a 3.8% chance that natural sampling variation could produce poll results at least as far below 54% as these if there is really no change in public opinion.
Step-by-step explanation:
The p-value indicates the probability that the test statistic occurs, given that the parameters of the null hypothesis are true.
The smallest the p-value, the less likely is the sample statistic obtained. If this p-value is below a threshold, called "level of significance", it can be claimed that the null hypothesis is wrong.
In this case, we can not say anything about the probability of success of the ad campaign or the quality of the poll, because we have no information about it.
Answer:
The probability is that he hits 5.6 out of 7 attempts.
Step-by-step explanation:
Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:
7 x 80/100 = X
560/100 = X
5.6 = X
Therefore, the probability is that he hits 5.6 out of 7 attempts.
Answer:
Y Intercept= -3
Equation= y=3x-3
Step-by-step explanation:
Given:

To find:
The values of x.
Solution:
We have,

(Distributive property)
(Combining like terms)
Add 28 on both sides.

Subtract 10x from both sides.


Divide both sides by 14.


Therefore, the values of x are all real numbers less than 2, i.e., x<2 .