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VARVARA [1.3K]
3 years ago
12

Write ( 8 a^− 3 )^− 2/3 in simplest form.

Mathematics
1 answer:
Blababa [14]3 years ago
3 0

Answer:

(8a-3)-2/3

Step-by-step explanation:

I Really Hopes this helps!

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Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random
Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em>\bar X<em> = sample mean</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 = $50,000

            \sigma = population standard deviation = $25,000

            n = sample of people = 1,000

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 will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

  P(\bar X > $52,000) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } } ) = P(Z > 2.53) = 1 - P(Z \leq 2.53)

                                                                    = 1 - 0.9943 = 0.0057

<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 = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

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3 years ago
For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 mi
yKpoI14uk [10]
Walking for 10 minutes
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3 years ago
What percent of 54 is 28?<br> F) 192%<br><br> G) 19%<br><br> H) 0.52%
Vanyuwa [196]

Answer:

Step-by-step explanation:

H

4 0
2 years ago
Guys help me out on this one plizzz
evablogger [386]

<span>The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures.  This term's value is</span>

<span>(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>


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3 years ago
Which statements are true regarding the prism? Check all that apply
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