Complete Questions:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.
a. 40
b. 48
c. 56
d. 64
Answer:
a. 0.35
b. 0.43
c. 0.49
d. 0.54
Step-by-step explanation:
(a)
The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.
Let s be the sample space of all integer not exceeding 40.
The total number of ways to select 6 numbers from 40 is
.
Let E be the event of selecting none of the correct six integers.
The total number of ways to select the 6 incorrect numbers from 34 numbers is:

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is


Therefore, the probability is 0.35
Check the attached files for additionals
54% of the time. 21 and 45 is 66. Two hours is 120. The you subtract
Answer:
-42
Step-by-step explanation:
1. 4(-2)
2. 3(-8)
3. -8 + -10 + -24
4. cobine like terms
5. -42
Answer:
z=-1.591
Step-by-step explanation:
Null Hypotheses,

So we use z-test for one population proportion (right-tailed test)
According to this informaton, we defined that

(critical value)
So our Rejection region is 

Not rejection.
Answer:
C. 31 kilometers north of its starting location
Step-by-step explanation:
<em>Please see attached a rough sketch of the situation for your reference</em>.
Step one:
Displacement North= 57km
Displacement South= 26km
Required
The final displacement
The current position is attained by subtracting 26km from 57km
=57-26= 31km
Therefore the current position is
C. 31 kilometers north of its starting location