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nasty-shy [4]
3 years ago
6

Rewrite 81 as 3 to some power.

Mathematics
1 answer:
NikAS [45]3 years ago
5 0
First, let's find all the factors of 81:

81/3=27
27/3=9
9/3=3
3/1=1

So the factors of 81 are 3,3,3,3, (the numbers by which we divided here).

This means we can write down 81 as 3*3*3*3 or 3^{4} - which is the answer to the question! (three to the power of 4)
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Natali5045456 [20]
X + 3y -4 =0 or x=4 I think that’s the answer
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3 years ago
If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
Zielflug [23.3K]
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7 0
3 years ago
How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)
Greeley [361]

Answer:

<em>The temperature in Miami is 9/5 times the temperature in San Diego.</em>

Step-by-step explanation:

<u>Ratios</u>

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

\displaystyle \frac{45}{25}

Simplify the fraction dividing by 5:

\displaystyle \frac{9}{5}

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

3 0
3 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
------------------------------------------------------------------------------------------
6 0
3 years ago
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

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

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

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

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
3 years ago
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