Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p = 
= 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = 
= 
= <u>0.0625</u>
The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4). Then the correct option is B.
<h3>What is a transformation of a point?</h3>
A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.
The polygon is given below.
The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4).
Then the correct option is B.
More about the transformation of a point link is given below.
brainly.com/question/27224339
#SPJ1
A because when you plug the points in every point works
Answer:
669
Step-by-step explanation:
12+73*9=669
The answer is 19,448 different
groups, using the formula from permutation and combinations C (n, r) = (n!) /
(r! (n-r)!) which calculates the number of times where r objects can be chosen
from n object.
So,
C (17,7) = (17!) / (7! *(17-7)!)
C (17,7) = (17!) / (7! *10!)
C (17,7) =
(17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!
C (17,7) = (17*16*15*14*13*12*11)
/ (7*6*5*4*3*2*1) = (98017920)(5040)
C (17,7) = 19,448 different
groups
