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Andrei [34K]
3 years ago
12

PLS HELP DUE IN 1 HOUR write the expression using positive exponents 1/3^-5

Mathematics
1 answer:
drek231 [11]3 years ago
4 0
<h3>Answer:   3^5</h3>

Explanation:

The rule used is \left(\frac{a}{b}\right)^{-c}  = \left(\frac{b}{a}\right)^{c}

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5

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A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?
Sergio [31]
Hey there!

Here is your answer:

<u><em>The proper answer to this question is "44 times".</em></u>

Reason:

You have to solve it this way:

<u><em>12 heartbeats=16 seconds</em></u>

<u><em>16+16=32</em></u>
<u><em>36+16=48</em></u>
<u><em>48+16=64</em></u>
<u><em>16-12=4</em></u>
<u><em>12+12=36+8=44</em></u>

<em>Therefore lions heart beats 44 times every 60 seconds.</em>

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
6 0
3 years ago
Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
If 3/8" equals 3 ft, what does 5/8" equal
Free_Kalibri [48]
If 3/8 equals 3 ft, then i would assume that 5/8 equals 5 ft.
7 0
3 years ago
NEED ASAP
netineya [11]

Answer:

Supplementary

Step-by-step explanation:

135+45 =180

So Option C

3 0
3 years ago
Plz help I don't know how to salve the question
kvv77 [185]

Answer:

24

Step-by-step explanation:

4 0
3 years ago
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