The probability that exactly 6 are defective is 0.0792.
Given:
30% of the bulbs in a large box are defective.
If 12 bulbs are selected randomly from the box.
To find:
The probability that exactly 6 are defective.
Solution:
Probability of defective bulbs is:



Probability of non-defective bulbs is:



The probability that exactly 6 are defective is:





Therefore, the probability that exactly 6 are defective is 0.0792.
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Answer: 120
Step-by-step explanation:
3 x 108 = 324
3 x 102 = 204
so 324 - 204 = 120
Hey there!
⇒ Use the vertex as the middle letter, and the point from each side (<ABC or <CBA)
⇒ Use the vertex only (<B)
⇒ Use a number (<1)
- Classify angles according to their measure.
⇒ Acute angle: less than 90°
⇒ Right angle: exactly 90°
⇒ Obtuse angle: between 90° and 180°
⇒ Straight angle: exactly 180°
Thank you,
Eddie
See the attachment for a visual!
She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:
21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.
Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.
She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:
5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.
Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together
40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.
856 + 160.5 = 1016.5.
Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.
Hope this helps, let me know if you need anything else! :)