Answer:
Independent events
Step-by-step explanation:
Given that:
Ramiro draws a marble from a jar without replacement and then flips a coin
Let
be the event that Ramiro draws a marble without replacement and;
Let
be the event of flipping a coin.
Let's have an analogy so that we can better understand the concept of independent and dependent events.
Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.
The event
does not in any way affect the event
of a head or a tail showing up in a flip of a coin.
Therefore, we say that
and
are independent events.
Suppose the event
affects or influence the event
, then we can say they are dependent events.
Answer:
A)10.25 cm ; B)5 square cm
Step-by-step explanation:
A)
Formula:
p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]
∴The perimeter of the triangle =(4+2.75+3.5) cm
=10.25 cm
B)
Formula:
A = 1/2 . b .h [A=area ; b= base ; h= height]
∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]
=5 square cm
Given:
The two way table.
To find:
The conditional probability of P(Drive to school | Senior).
Solution:
The conditional probability is defined as:

Using this formula, we get
...(i)
From the given two way table, we get
Drive to school and senior = 25
Senior = 25+5+5
= 35
Total = 2+25+3+13+20+2+25+5+5
= 100
Now,


Substituting these values in (i), we get




Therefore, the required conditional probability is 0.71.
Answer:
Brother is 70.5 and sister is 64.5
Step-by-step explanation:
you will need to set up a simple equation and give out variables.
Girls age = 6-x
Brother's age= x
the you will take those 2 and add them and place them equal to 135:
6-x+x=135
6-2x+6=135+6
The 6 cancels out
2x=141
2x/2=141/2
x=70.5
The brother's age would be 70.5 then and the girl's would be 64.5
Lyndon should spend $38.05 or more to get a free T-shirt.
We have to find the statement best represents all of the amounts he can spend to get a free T-shirt
Suppose that the amount Lyndon get free T shirt is x.
Given that a clothing store offers a free T-shirt when a customer spends $75 or more.
Lyndon has already spent $36.95.

To find the value of x,
Solve above inequality


Therefore,
Lyndon should spend $38.05 or more to get a free T-shirt
To learn more about the amounts he can spend to get a free visit:
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