Answer:
The probability of the student incorrectly solves the next problem is 44%.
Step-by-step explanation:
Let E be the event of solving a problem correctly.
Then E' is the event that the problem is solved incorrectly.
Now, recall the definition of probability.
probability of an event =
So,
p(E) =
Also,
p(E) + p(E') = 1 and
p(E') = 1 - p(E)
= 1 -
=
=
=
=
= 44% rounded.
Hence, the probability of the student incorrectly solves the next problem is 44%.
Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:
We solve for y:
Since the answer choice has angles in radians, we recall 30 degrees is radians.
Thus, the correct answer is , or option A
Answer:
a) 4
b) 2
Step-by-step explanation:
a) multiply the coefficients and add the exponents
(4)(1) · = 4
b) divide the coefficients and subtract the exponents
(14 ÷ 7) · = 2