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xxTIMURxx [149]
3 years ago
7

Plz need the answer and how

Mathematics
2 answers:
fenix001 [56]3 years ago
6 0
(2^4 / 2^2) ^3
-------------------
2^4= (2•2)•(2•2)= 4•4= 16
2^2= 2•2= 4

replace 2^4 with 16 and 2^2 with 4

(16/4)^3
(4)^3
4^3= (4•4)•4= 16•4= 64

i believe your answer is 64
please give brainliest if this helps <3
GarryVolchara [31]3 years ago
5 0

hi!

1) rewrite as a fraction

(2^4/2^2)^3

2) reduce the expression by cancelling out the common factors

so factor out 2^2 out of 2^4

3) multiply by 1 so,

(2^2 * 2^2/ 2^2 * 1)^3

4) continue to cancel out common factors the rewrite the expression to be

(2^2/1)^3

5) then divide 2^2 by 1 so, it will be (2^2)^3

6) lastly simplify the expression so apply the power rule and multiply so it will be 2^2*3

then it will be 2^6

and raise 2 to the power of 6 and you answer is 64

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jek_recluse [69]

Answer:

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Step-by-step explanation:

As with many multiple-choice questions, the appropriate choices can often be determined with a simple test. Here, you only need to look at the values of the constants. (Those are ringed in blue.)

4 0
3 years ago
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
Radioactive Decay Beginning with 16 grams of a radioactive element whose half -life is 30 years ,the mass y(in grams) remaining
Flura [38]

Answer:

the equation should be corrected to fit the data of the problem.  With the corrected equation a mass of 0.5 grams remains after 150 years

Step-by-step explanation:

for the mass y( in grams)

y=23* (1/2)^(t/45), t ≥ 0.

the initial mass is at t=0 , then

y= 23 grams  → should be 16 grams

half-life from the equation = 45 years → should be 30 years

the correct equation should be

y=16*(1/2)^(t/30), t ≥ 0

then after 150 years  → t= 150

y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams

then a mass of 0.5 grams remains after 150 years

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Charra [1.4K]

Answer:

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Step-by-step explanation:


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