Answer:
Option B is correct.
Miguel should study for the Science quiz as he will do worse in that quiz by guessing.
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Hope this Helps!!!
Answer:
A vector's magnitude represents its length, so your answer is C, the length of a vector.
Step-by-step explanation:
The length of the altitude is 
Explanation:
Let ABC be an equilateral triangle.
It has sides of length 16 cm
Let AD be the altitude of the triangle.
We need to determine the length of an altitude.
Let AC = 16 cm and CD = 8 cm
Let us consider the right angled triangle ADC
Using the Pythagorean theorem, we have,

Substituting the values, we get,




The length of the altitude is 
Assuming the wire starts at x=0, the first point is (0,-4) since using y = 3x - 4 :
3(0) - 4 = -4
the two points are (0,4) and (-3,4)
since the y values are the same, the distance is the positive difference between the x values:
-3 - 0 = -3
then,
the distance is 3 meters
each meter costs $125, so multiply the cost by the amount of meters to find the total:
125 x 3 = 375
the total cost is $375
Answer:
The answer is A
Step-by-step explanation:
144
12 12
4 3 4 3
2 2 22
2*2*2*2*3*3 (a)