The correct value of this equation is <u>m = </u><u>24</u>
<h3>Resolution method</h3>
This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
<u>m = 24</u>
Therefore, the correct value of this equation will be <u>m = 24</u>
By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
If you want to learn more about probability:
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5 because it’s a double negative which offsets the answer to be positive 5
Answer:

Step-by-step explanation:
Given:


We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get

Plug in the known values and solve for
. This gives,

Therefore, the probability of events A and B occurring is
.
Answer:
c. 5x + 25
Step-by-step explanation:
5( x + 5)
5×x + 5×5
5x + 25