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2 years ago

Select all of the potential solution(s) of the equation 2log5x = log54?

Mathematics

2 answers:

rewona [7]2 years ago

6 0

Answer:

First part: A and B

x = -2 and x = 2

Second Part: x = 2

Step-by-step explanation:

I got this right on EDGE 2020

I hope this helps! :)

Romashka-Z-Leto [24]2 years ago

4 0

Answer:

jit is good work i am sorry i am doing this but that is how business work

Step-by-step explanation:

also here sorry

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Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a)

rjkz [21]

Answer:

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.

3 0

2 years ago

A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil

MArishka [77]

Answer:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

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".

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

$X \sim N(12,0.3)$

Where $\mu=12$ and $\sigma=0.3$

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}$

If we solve for the total T we got:

$T= n \bar X$

For this case then the expected value and variance are given by:

$E(T) = n E(\bar X) =n \mu$

$Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2$

And the deviation is just:

$Sd(T) = \sqrt{n} \sigma$

So then the distribution for the total would be also normal and given by:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

And we want this probability:

$P(T\leq 72)$

And we can use the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

6 0

2 years ago

Amar rakes leaves for his neighbors to earn money. He earned 64 dollars after

ipn [44]

Answer : amar makes $8 per hour

6 0

2 years ago

Read 2 more answers

Jackie took out a $9,000 personal loan with a 4.5% interest rate that she will pay back in 3 years. She will make monthly paymen

gayaneshka [121]

Answer:

Total cost of repayment is $10,852.92

Step-by-step explanation:

Firstly, we need to calculate the interest attached to this loan repayment

To calculate this, we use the formula for simple interest

Mathematically,

I = $\frac{PRT}{100}$

where P is the amount borrowed which is $9,000

R is the rate which is 4.5%

T is the time which is 3 years

Plugging these values, we have

I = (9000×4.5×3)/100 = $1,215

Now we were also told in the question that she will make a monthly repayment of $267.72

Now the number of months in 3 years is 36 months. Total monthly repayment = 267.72 × 36 = $9637.92

Adding the interest amount, we have 9637.92 + 1215 = $10,852.92

7 0

2 years ago

The scale factor of the dimensions of two similar wood floors is 4:3. It costs $216 to refinish the smaller wood floor. At this

Ipatiy [6.2K]

In order to know the answer, we are going to solve this using proportion.
Given that 4 is the larger wood and 3 is the smaller wood, the cost of the smaller wood is 216 now we are going to find how much is for the larger wood.
Let us represent it this way:
4:3 = x : 216 Let x be the cost of the larger wood.
Just cross multiply and divide
4 x 216 divided by 3 and we get 288. Therefore, the cost is $288. Hope this answer helps.

5 0

2 years ago