The probability of picking red button is 
<u>Solution:</u>
Given, A jar contains 30 red, 30 blue, and 60 white buttons.
You pick one button at a random choice,
We have to find the probability that it is red button.
Now, total number of buttons = 30 + 30 + 60 = 120 buttons.
Number of favourable cases for red button = 30 red buttons.
The probability of an event is given as:


Thus the probability that it is red is 
Answer:
m > 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
11 + m > 15
<u>Step 2: Solve for </u><em><u>m</u></em>
- Subtract 11 on both sides: m > 4
Here we see that any value <em>m</em> greater than 4 would work as a solution to the inequality.
1.The sample is biased because it does not represent the population.
2.The question is biased toward a Yes response.
Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:

(a) the probability that a repair time exceeds 3 hours?

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.


Answer:
Place the compass point on vertex Y and draw an arc that intersects YX and YZ
Step-by-step explanation:
Given the construction of dividing an angle inteo two equal parts.
we have to find the first step of construction.
As seen in figure the angle ∠XYZ is dividing into two equal parts.
The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.
Hence, the correct option is option C.
Place the compass point on vertex Y and draw an arc that intersects YX and YZ