Answer: G and F are mutually exclusive because they cannot occur together
Step-by-step explanation:
According to the definition of mutually exclusive events,
The events which can not occur together and probability of them occurring together is 0 are known as mutually exclusive events.
The first statement gives an implication that if one happens then other happens meaning they could both still happen so it is not true.
The second statement contradict the question about being mutually exclusive events.
The third statement also is a implication that if one event occurs then other does or does not occur.
The last statement is correct one that conforms with the question and obeys the definition of mutually exclusive events.
Answer:

Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.
First, you divide by 5 from both sides.

Solve.


Next, subtract 5 from both sides.

Solve.

As a result, the correct answer is x<12.
<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
Answer:
<u>Has the form y = kx</u>
( y = 0.11x)
(y = 0.04x)
<u>Can be put into form y = kx</u>
(z/x = 9)
<u>Other</u>
(5 = xy)
( x = y/2)
Step-by-step explanation:
<u>y = kx</u>
( y = 0.11x)
(y = 0.04x)
<u>kx = y</u>
(z/x = 9)
-----------
( x = y/2 )
( x - 5 = y)
(5 = xy)
Answer:

Step-by-step explanation:
Given : There are six balls in bag
Basketballs=2
Playground balls =3
Soccer ball =1
To Find : the probability that if you pick one of the balls without looking, it will be a soccer ball
Solution :
Total no. of balls = 6
No. of soccer balls = 1
Probability = favorable outcomes / total outcomes
Since total outcomes = total no. of balls =6
And favorable outcome = no. of soccer balls = 1
Thus , Probability of getting soccer ball = 
Hence the probability that if you pick one of the balls without looking, it will be a soccer ball:

Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.


Take positive square root of both sides

Split:


Recall that the side length (l) is rational.
However,
is irrational.
So, the product of l and
will be irrational
Hence:
The diagonal is irrational