Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
Thus, the probability of selecting both yellow is 5/22.
Answer:
a) 0.023
b) 0.286
c) 10 students will be unable to complete the exam inthe allotted time.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 80 minutes
Standard Deviation, σ = 10 minutes
We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.
Formula:
a) P(completing the exam in one hour or less)
P(x < 60)
Calculation the value from standard normal z table, we have,
b) P(complete the exam in more than 60 minutes but less than 75 minutes)
c) P(completing the exam in more than 90 minutes)
P(x > 90)
Calculation the value from standard normal z table, we have,
15.87% of children of class will require more than 90 minutes to complete the test.
Number of children =
Approximately, 10 students of class will require more than 90 minutes to complete the test.
The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
<h3>What is the simplified form of an equation?</h3>The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
Let the simplified form of the above expression is <em>n. </em>Thus,
Rewrite the equation to solve it further as,
The square of the term cancel out the square root of it. Thus,
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
Learn more about the simplified form here;