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geniusboy [140]
3 years ago
9

Please help! need to know how to solve this Urgent!

Mathematics
2 answers:
Artemon [7]3 years ago
6 0

= log_{ 3}({x}^{2}  - 4)  -  log_{3}(x - 2)  +  log_{3}(x)

= log_{ 3}(\dfrac{{x}^{2}  - 4}{x - 2})    +  2 × 1

= log_{ 3}(\dfrac{(x-2)(x+2)}{x - 2})    +  2 × 1

= log_{ 3}(x+2)  +  2 × 1

PilotLPTM [1.2K]3 years ago
5 0

Step-by-step explanation:

I dont know if this helps but that what I came up with

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The repair cost of a Subaru engine is normally distributed with a mean of $5,850 and a standard deviation of $1,125. Random samp
Yuri [45]

Answer:

C. $5180

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be 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.

Z-scores lower than -2 or higher than 2 are considered unusual.

Central limit theorem:

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

In this problem, we have that:

\mu = 5850, \sigma = 1125, n = 20, s = \frac{1125}{\sqrt{20}} = 251.56

Which of the following mean costs would be considered unusual?

We have to find the z-score for each of them

A. $6350

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

By the Central Limit Theorem

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

Z = \frac{6350 - 5850}{251.56}

Z = 1.99

Not unusual

B. $6180

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

Z = \frac{6180 - 5850}{251.56}

Z = 1.31

Not unusual

C. $5180

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

Z = \frac{5180 - 5850}{251.56}

Z = -2.66

Unusual, and this is the answer.

3 0
3 years ago
Please help! I will mark brainliest!
Maurinko [17]

\left(3.5\times 10^{-2}\dfrac{kg}{L}\right)\times\left(2.64\times 10^{20}\,L\right)=(3.5\times 2.64)\times 10^{(-2+20)}\,kg\\\\=\bf{9.24\times 10^{18}\,kg}

_____

Multiply the numbers and add the exponents.

4 0
3 years ago
1 point
nydimaria [60]

Answer:

Step-by-step explanation:

8 0
3 years ago
A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.
fgiga [73]

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

6 0
3 years ago
Read 2 more answers
Ricky said that two acute angles can be supplementary; but Bobby disagrees. Who is correct? Give an example to prove your argume
saw5 [17]

Answer:

Bobby is correct

Step-by-step explanation:

Acute angles are classified as angles with a measurement of greater than 0° but less than 90°. If you add two acute angles, each as large as possible, the total will be less than 180 degrees.

6 0
3 years ago
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