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salantis [7]
3 years ago
14

What is the value of the expression? 92÷(−3)0 −27 3 ​27​ 81

Mathematics
2 answers:
yulyashka [42]3 years ago
7 0
For this case we have the following expression:
 \frac{9^2}{(-3)^0} 

 The first thing you should know for this case, is that by power properties we have:
 Every number raised to zero is equal to unity.
 We then have to rewrite the expression:
 \frac{81}{1}
 81
 Answer:
 
The given expression is equal to:
 
81
 option 4.

Leni [432]3 years ago
3 0
Answer: Since the expression is not clear, the choices might be - 27 or 81 depending on the expression (see below for detailed explanation)


Justification:


1) If expression to evaluate is 9² ÷ (- 3)


2) In that case, the dividend is: 9² = 81

3) So, the division is 81 ÷ (-3) = - 27.

Remember the law of the signs: the division of opposite signs gives a negative result, while the division of equal signs gives a positive result.



4) If the expression to evaluate is 9² ÷ (- 3)⁰


5) 9² = 81, and (-3)⁰ = 1

6) In this case the division becomes 81 ÷ 1 = 81
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Answer:

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the energy consumption of a population, and for this case we know the distribution for X is given by:

X \sim N(1050,218)  

Where \mu=1050 and \sigma=218

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.55   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.126. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.126

And if we solve for a we got

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

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