In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35
Part (a): When 15 people are tested
(i) Number of people expected to pass
This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.
(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%
Part (b): Teenager determined to pass the test no matter how many times
(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%
(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
Answer:
1)
8 leaves
2)
6 leaves
3)
2 leaves
Step-by-step explanation:
A universal set is the collection of all objects in a particular context or theory so there are 8 leaves all together. Its asking for the shaded ones only on the second question all together which is 6 leaves. and then not shaded ones all together which is 2 leaves.
Answer:
The given Expression is sometimes true.
Step-by-step explanation:
from the question,
The given expression by Cary is 
.
So, solving the expression we get
⇒ 
Let 
is an integer.
Whenever,
(a) 
{ 
}
The given Expression always gives negative value.
(b) 
{
}
The given Expression always gives positive value.
Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.
Hence,
According to Cary's claimantion the given Expression is sometimes true.
Answer:
96 in²
Step-by-step explanation:
The surface area of the square pyramid is the area of the square base plus the area of the four triangular faces. The slant length is the height of each triangle.
A = s² + 4 (½ sL)
A = s² + 2sL
Given s = 6 and L = 5:
A = (6)² + 2(6)(5)
A = 36 + 60
A = 96
The area that needs to be painted is 96 in².
Answer:
Yes
Step-by-step explanation:
It would be r+49 since Kevin has 49 more.
