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Andreas93 [3]
3 years ago
6

Which expression is equivalent to 4^-6 x 4^-2

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

4^-8

Step-by-step explanation:

When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.

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3 years ago
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and
Lady bird [3.3K]

Answer:

95% (two-sided) confidence interval for the proportion of all dies that pass the probe is between 0.470 and 0.574

Step-by-step explanation:

Confidence interval can be calculated as p±ME where

  • p is the sample proportion of dies that pass the probe
  • ME is the margin of error

and margin of error (ME) around the mean can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

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Using the numbers in the formula we get

ME=\frac{1.96*\sqrt{0.522*0.478}}{\sqrt{356} } ≈0.052

then the 95% confidence interval would be 0.522±0.052

6 0
4 years ago
Find mMK................
Gnesinka [82]

Answer:

Approximately mMK is 53 degrees

Step-by-step explanation:

Here, we want to find the length of MK

As we can see, we have a right triangle at LNK

so

let us find the angle at L first

9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L

so the trigonometric identity that connects adjacent to the hypotenuse is the cosine

It is the ratio of the adjacent to the hypotenuse

So;

cos L = 9/15

L = arc cos (9/15)

L = 53.13 degree

Approximately, L = 53 degrees

so now, we want to get the arc length MK

We are to use the angle-arc relationship here

Using this; arc length MK is equal to the measure of L at the center which is 53 degrees

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