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never [62]
3 years ago
14

Simplify (3^3*5^3)^-2

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0
(3³ x 5³)² - 2 

( 27 x 125)
² - 2 

125 x 27 = 3375

3375
² = 11,390,625

11,390,625 - 2 = 11,390,623


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In a day, Robin spends 6 hours at school, sleeps for 9 hours, plays for 3 hours, and spends the rest of the time doing other thi
slavikrds [6]
6hrs = school
9hrs = sleeps              = 18hrs // 24hrs      ----6hrs left
3hrs = plays

6hrs = other things


playing = 12.5% -- 3/24                 3/24*100
other things = 25% -- 6/24             6/24*100
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U divided by 7 is equal to -49
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3 years ago
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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<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 = true proportion = 0.04

           n = sample size = 469

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 less than 0.03 is given by = P( \hat p < 0.03)

       P( \hat p < 0.03) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } } ) = P(Z < -1.27) = 1 - P(Z \leq 1.27)

                                                                      = 1 - 0.89796 = 0.10204

Now, in the z table the P(Z \leq x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0
3 years ago
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mote1985 [20]
3 weeks = 21 days
Let Jerrad's vacation be X then Max's be 2X and Wesley's 4X
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5 0
3 years ago
Is anyone in geometry (10th-grade math)? I need some help
goldenfox [79]

Answer:

angleB = 41.4°

Step-by-step explanation:

✨ Trigonometry✨

cos theta = adj / hyp

theta = inverse-cos adj / hyp

theta = inverse-cos 12 / 16

theta = inverse-cos .75

theta = 41.4°

*theta is the 0 with a line through it

5 0
2 years ago
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