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3 years ago

Evaluate the expression. Write your answer as a fraction in simplest form. Thank you so much!

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ with n > m

= $\frac{1}{a^{(n-m)} }$ , thus

$\frac{3^{5} }{3^{8} }$ = $\frac{1}{3^{(8-5)} }$ = $\frac{1}{3^{3} }$ = $\frac{1}{27}$

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3 years ago

Find the value of X <br> PLS HELP PLS

IceJOKER [234]

Answer:

x=59

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3 years ago

A soccer league has 25 sixth graders, 20 seventh graders, and 15 eighth graders. What is the ratio of 7th and 8th graders to 6th

neonofarm [45]

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35:25

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3 years ago

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia

PSYCHO15rus [73]

Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 0, \sigma = 1$ .

The z-score that cuts off the bottom and top 2.5% of the distribution is $z = \pm 1.96$ , hence:

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 0}{1}$

X = -1.96

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{X - 0}{1}$

X = 1.96

The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

More can be learned about the normal distribution at brainly.com/question/27879230

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2 years ago

A toy shop has stuffed Ana I’m als originally priced at $25 each. There is now a 20% discount on the stuffed animals. What is th

ICE Princess25 [194]

Answer:

$20 for each stuffed animal

Step-by-step explanation:

[] The original price is $25, but it is 20% off.

100% - 20% = 80%

[] Now we can find 80% of $25.

-> First, 80% divided by 100 becomes 0.8, a decimal we can work with

25 * 0.8 = 20

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

8 0

2 years ago

Read 2 more answers