Answer:
true
Step-by-step explanation:
-7=4*-3+5
-7=-12+5
Answer:
0.4%
Step-by-step explanation:
We have two independent events
- The athlete who is being tested for drugs actually is using steroids.
- The test went wrong indicating a false result.
The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".
The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"
Then the probability of 1) and 2) to happen is given by
=0.4%
Answer:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
. And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Answer:
shorter piece = 6. longer piece = 12
Step-by-step explanation:
short piece = s
long piece = l
l+s= 18
l= 6+s , substitute
6+s+s = 18
6+2s= 18
2s= 18-6
2s= 12
s=12/2
s= 6= shorter piece
l= 6+s
l= 6+6= 12 = longer piece