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GaryK [48]
3 years ago
7

3. There are 124 acorns laying on the ground in your yard, it is predicted that the number of acorns will

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

507,409

Step-by-step explanation:

if every 5 days the number quadruples (x4), and we want to know how many acorns fall after 30 days, we can divide 30 by 5 so we only have to calculate for the amount of time the take to quadruple.

30 ÷ 5 = 6

so we only have to quadruple the acorns 6 times.

if we start off with 124 acorns, this is what it will look like:

Day 0: 124 acorns

Day 5: 124 x 4 = 496 acorns

Day 10: 496 x 4 = 1984 acorns

Day 15: 1984 x 4 = 7936 acorns

etc... until day 30.

Day 30: 507904 acorns

I hope this was helpful :-)

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pychu [463]
Mean: np=100\times0.20=20

Standard deviation: \sqrt{np(1-p)}=\sqrt{100\times0.20\times0.80}=4
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2 years ago
Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a
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Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

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Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

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Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

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From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

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From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

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Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

4 0
2 years ago
how do you solve this: the sale price is $146.54 and the discount is 15% off. how do you solve for the original price?
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3 years ago
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Your answer will be


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y = 4x + 1

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