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ryzh [129]
3 years ago
13

How to solve this equation (2a - 2) (a + 1) =0

Mathematics
2 answers:
Reptile [31]3 years ago
6 0
Since the left side is a product of the two parenthetical terms, if either of them is equal to zero the equation is true, because anything time zero equal zero.  So the two solutions to that equation are when

2a-2=0

2a=2

a=1

and

a+1=0

a=-1

So the two solutions occur when a=-1 and 1
Darya [45]3 years ago
3 0
Since anything multiplied by zero produces zero, we can say 0(a + 1) = 0 and (2a - 2)(0) = 0.

Thus, 2a - 2 = 0 or a + 1 = 0
2a = 2
a = 1

a = -1

We can conclude that a = 1 or - 1 will produce the end result as 0.
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In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

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Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

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

By the Central Limit Theorem

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

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

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7 0
3 years ago
Please help:) i would appreciate it lol
Svetllana [295]

Answer:

subtotal: $65.00

8% sales tax: $5.20

total: $70.20

Step-by-step explanation:

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