Amy and her father are playing with a squeaky toy. Amy's father is squeezing the toy in front of Amy. Amy is very excited and re
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Let D be the Intersection of Height of the Triangle and Base of the Triangle BC
From the Figure, We can notice that Triangle ADB is a Right angled Triangle.
We know that, In a Right angled Triangle :
(Hypotenuse)² = (First Leg)² + (Second leg)²
In Triangle, ADB : AB is the Hypotenuse, AD is the First leg and BD is the Second leg
Given : AB = 15 and BD = 9
Substituting the values, We get :
(15)² = (AD)² + (9)²
225 = (AD)² + 81
(AD)² = 225 - 81
(AD)² = 144
(AD)² = (12)²
AD = 12
We know that, In a Right angled Triangle :
Now, Consider Triangle ADC : With respect to 45° Angle, AD is the Opposite Side and DC is the Adjacent Side
DC = 12
Total Length of the Base (BC) = BD + DC
Total Length of the Base (BC) = 9 + 12
Total Length of the Base (BC) = 21
We know that, Area of the Triangle is given by :
In Triangle, ABC : AD is the Height and BC is the Base
Answer:
a) P(6) = 0.0097
b) P(More than 3) = 0.1611
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A student takes a multiple-choice test that has 11 questions.
This means that
Each question has five choices.
This means that
(a) Find P (6)
This is P(X = 6).
P(6) = 0.0097
(b) Find P (More than 3).
Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So
We want P(X > 3). So
In which
Then
P(More than 3) = 0.1611