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Eddi Din [679]
3 years ago
7

Which expression is equivalent to 4√32⋅√2 ?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0
4\sqrt{32}\times\sqrt{2}\rightarrow4\sqrt{32\times2} <em>because two square rooted numbers multiplied together equals the square root of the radicands </em>(the number under a square root symbol is the "radicand"

<u>so now you have</u>: 4\sqrt{64}=4\times(\pm8)
Depending on the choices, you can have either 4\times8=32 or 4\times(-8)=-32
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A,C,D

Step-by-step explanation:

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A shipping company needs to determine the number of Styrofoam packing peanuts that fit per square foot in a box that measures 20
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1) We have 1300 packing peanuts, and 20 ft^2. Therefore, to find out how many packing peanuts there are per square foot, we divide the number of peanuts (1300) by the number of square feet (20 ft^2). This gives us 1300 / 20 = 65 packing peanuts per square foot.
2) We do not know the current volume of the box which fits the 1300 packing peanuts (all we know is its area). But it is reasonable to expect that if we increase the volume by 25%, the number of packing peanuts will also increase by 25%. This means we can fit 1300*(1.25) = 1625 peanuts in the larger box.
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3 0
4 years ago
Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or
vagabundo [1.1K]

Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

n(1-p) \geq 5

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The minimum sample size needed for use of the normal approximation is 50.

6 0
3 years ago
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