A. the answer is 5. it is less than 12 3*5=15-6=9
Answer:
<u>Option 4: (3,5)</u>
Step-by-step explanation:
(x - 3)(x - 5) < 0
Therefore, the intervals that must be tested are x < 3 , 3<x<5 and x>5
Test of the interval x<3⇒ Let x = 0 ⇒ (-3)(-5) = 15 > 0
Test of the interval 3<x<5 ⇒ Let x = 4 ⇒ (4-3)(4-5) = (1)(-1) = -1 < 0
Test of the interval x>5⇒ Let x = 6 ⇒ (6-3)(6-5) = (3)(1) = 3 > 0
So, the solution set for the quadratic inequality is the interval 3<x<5
Or x ∈ (3,5)
See the attached figure.
The answer is <u>option 4</u>
9514 1404 393
Answer:
(A) -2018
(B) 5/36
Step-by-step explanation:
(A) The rate of change between any pair of terms in an arithmetic sequence is the same:
(a668 -a38)/(668 -38) = (a38 -a13)/(38 -13)
a668/630 = a38/630 +(a38 -a13)/25 . . . . add a38/630 to both sides
a668 = a38 +630/25(a38 -a13) = -128 +25.2(-128 -(-53)) = -128 -1890
a668 = -2018
__
(B) The sum of an infinite geometric series is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
We are given S = 6, a1 = 5, so we can find r to be ...
6 = 5/(1 -r)
1 -r = 5/6
1 -5/6 = r = 1/6
Then the 3rd term is ...
a3 = 5×(1/6)^(3 -1) = 5/36
Answer:
Mean is 3.05
Standard deviation is 1.69.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The probability of x sucesses on n repeated trials, with p probability.
In this problem, we have a sample of 50 students, so . The proportion of all UNC students that are foreign students is 0.061, so .
The mean is given by the following formula:
The standard deviation is given by the following formula: