Step-by-step explanation:
Lets consider the unknown number as x
according to the question,
6-x= 5(x+2)
6-x= 5x+10
-x-5x=10-6
-6x=4
x=4/-6= 2/-3
x= -2/3
<em>hope this helps </em>
<em>please mark me as brainliest.</em>
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
Answer:
11.9
Step-by-step explanation:
-11.9/-1
so the both cancel out each other
so it will just be 11.9 ,since it is -1
Solution: Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.
Answer: The given random experiment can be considered as binomial experiment with probability of success = 0.2 and number of trials = 5
Therefore, we have:

Let x be the number calls that reach to live person.
We have to find 
Using the binomial probability distribution, we have:



Therefore, the probability that none of them reaches a live person is 0.3277