<span>Simplifying
graph + -1x + -9y = 8
Solving
aghpr + -1x + -9y = 8
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add 'x' to each side of the equation.</span>
Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.

Totao outcomes:
10 engineers selected from a set of 20.

Probability:

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
If it’s 3 3/8 you multiply the denominator by the coefficient and add the numerator and then keep the same denominator so it would be 27/8
Hello!
Let's solve !
⇒ (x - 3)² = 5
⇒ x² - 6x + 9 = 5
⇒ x² - 6x + 4 = 0
⇒ x = -(-6) ± √36 - 4(1)(4) / 2
⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2
⇒ x = 3 ± √5
∴ The solutions are x = 3 + √5 and x = 3 - √5.
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
which is 3² = 9 written in logarithmic form.
This can also be switched around to read
.
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.