Answer:

Step-by-step explanation:
Given that the bag contains black and red marbles.
Number of black marbles in the bag = 2
Number of red marbles in the bag = 3
Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5
Let us have a look at the formula for probability of an event E, which can be observed as:


Now, the marble chosen at first is replaced.
Therefore, the count remains the same.

Now, the <em>required probability</em> can be found as:

Answer:
Step-by-step explanation:
From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (
) and are parallel to 
The parallel vector to the line i + zj+k = ai + bj + ck
Hence, the equation for the line is :

x = 4 + t
y = -5 + 2t
z = 2 + t
Thus, x, y, z = ( 4+t, -5+2t, 2+t )
The symmetric equation can now be as follows:



∴

Answer:
100 is inital value of that decrease
The probability of inductees who are female will be 0.155.
<h3>How to illustrate the probability?</h3>
Question: What proportion of inductees have been female or have included female members?
From the information, 303 groups or individuals and forty-seven of the inductees have been female or have included female members.
Therefore, the proportion will be:
= 47/303
= 0.155
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Answer:
The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))
Step-by-step explanation:
The first step is to think that you have to multiply the number of atoms for the weight of each atom.
When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.
Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24) ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1
⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.