- Three vertices of a rectangle have coordinates<span> (–</span>3, 1), (7,1), and (7, –4<span>). ... What are the </span>coordinates<span> of the </span>fourth vertex<span> of the </span>rectangle? A. (–3, –4) B. (–3, –1) C. (7, –3) ... go straight down basically -3<span> there </span>has<span> to be two -</span>3 for<span> x coordinate and two </span>7 for y coordinate<span> ... Mathematics; </span>5<span> points; 37 seconds ago.</span>
Answer:
7/6
Step-by-step explanation:
(7x/12)/(x/2)
=7/6
Answer:
∠ACB= 57°
AB= 8.80 units (3 s.f.)
AC= 10.1 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that
In this case, the student passes if X is at least four correct questions, then

c)The expected value of a binomial random variable with parameters n and p is
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 