The probability of getting two red lenses when two are selected will be 2/13.
<h3>What is probability?</h3>
The probability of favorable events to the total number of occurrences.
A box contains four red, three blue, and six green lenses.
Two lenses are randomly selected from the box.
Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be
The total number of the event will be
Total event = ¹³C₂
Total event = 78
Then the favorable event will be
Favorable event = ⁴C₁ x ³C₁
Favorable event = 4 x 3 = 12
Then we have
P = 12 / 78
P = 2/13
More about the probability link is given below.
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Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
Answer:
Herman needs to buy 3 sticker packs to have a total of 100 stickers.
Explanation:
33 x 3 = 99
99 + 1 = 100
5/160 in simplest form is 1/32
The only one that gives 1024 is A.
