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g100num [7]
3 years ago
15

Simplify. show your work on a plz

Mathematics
1 answer:
Reptile [31]3 years ago
6 0

[(3x^2y^3)^2]3

work from the inside out

(3x^2y^3)^2

3^2 (x^2)^2 (y^3)^2

x^2^2 multiply the exponents  =x^4

y^2^3 = y^6

9 x^4 y^6

[9x^4 y^6]^3

9^3 x^4^3 y^6^3

729 x^12 y^18

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5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ
mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em>\hat p<em> = sample proportion</em>

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

               Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

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 sample proportion will be greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } } ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0
3 years ago
What decimal is 1/10 of 0.08
Luden [163]
The answer is .008

Ok so lets explain this with an easier number like 1.

1 times 1/10 is 1/10 or in decimals its .1

So the decimal just got moved further back. Same thing happens with any number.

Brainliest if this helps you out?
5 0
3 years ago
Can someone help me
stepladder [879]

Answer:

z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss

3 0
2 years ago
Please help! (Answer and explanation, NO LINKS!)
blsea [12.9K]

Answer: primeter is 20

Area :

Step-by-step explanation:

Height : 4

Base : 6

Prim - 6+6+4+4=20

Area - 6x4=24

8 0
3 years ago
What two numbers can you add to get 24 and multiply to get 45
brilliants [131]
Is it 22.5 b/c 22.5 *2 = 45 and 22.5 +22.5= 45. or do u mean both numbers have to be the same
6 0
3 years ago
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