Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224
Answer: 2/3
Step-by-step explanation:
The formula in y-intercept form is y=2/3x-2 when converted from standard
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house
Since two sides are already of the same length, he can create an isosceles triangle.
An isosceles triangle has two equal sides and two equal angles.
Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.
An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
Answer:
11/50
Step-by-step explanation:
The frequency numbers for landing on 1, 2, and 3 are:
25, 53, 62.
We add them up to get: 25 + 53 + 62 = 140
Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then
250 - 140 = 110,
so 110 landed on 4 or 5.
We are told the numbers of spins landing on 4 and 5 are equal, so
110/2 = 55,
so the spinner landed 55 times on 4 and 55 times on 5.
relative frequency = 55/250 = 11/50
<span>Total pocket money: N600
Spent as follows:
Books N50
Pen N80
Maths set N270
Bag N150
Food N50
To find: Angles that pen and food represent on pie chart.
Solution: Pie is made on circle, and sum of angles of a circle is 360°.
Angle that pen represent = (80/600)*360° = 48°
Angle that food represent = (50/600)*360° = 30°</span>