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3 years ago

Write an equation for the

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

12 + 3x = 27

Step-by-step explanation:

statement: 12 larger than 3 times a number is 27

it translates to

12 larger than 3 times a number = 27

the equal sign replaces the "is"

let the unknown number be x

so...

12 larger than 3*x = 27

the "larger than" means plus

so 12 + 3x = 27

Thepotemich [5.8K]3 years ago

5 0

Answer:

12+3x=27

Step-by-step explanation:

Follow the words and write it as you read it, if it's (times) you multiply and if it's (larger), it's addition.

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4. Amazon executives believe that at least 70% of customers would return a product 2 days after it arrives at their home. A samp

inysia [295]

Using the normal distribution and the central limit theorem, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

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

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

It 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, which is the percentile of X.
By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

Sample of 500 customers, hence $n = 500$ .

Amazon believes that the proportion is of 70%, hence $p = 0.7$

The mean and the standard error are given by:

$\mu = p = 0.7$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205$

The probability is the p-value of Z when X = 0.68, hence:

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

By the Central Limit Theorem

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

$Z = \frac{0.68 - 0.7}{0.0205}$

$Z = -0.98$

$Z = -0.98$ has a p-value of 0.1635.

0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

A similar problem is given at brainly.com/question/25735688

7 0

2 years ago

Plz help plzplzplzplz

cupoosta [38]

Answer:

It is C.

First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.

7 0

3 years ago

Given the revenue function R(x)= 100x −2x^2 (space) 1 ≤ x ≤ 30 and the cost function C(x)= 500 + 9x for a company, find the prof

ziro4ka [17]

well, once you take in all the Revenue from sales, and subtract all the costs that went in for the product, what's leftover is the Profit.

so then, profit P(x), is simply the revenue minus costs, namely P(x) = R(x) - C(x)

$R(x)=100x-2x^2\hspace{5em}C(x)=500+9x \\\\\\ P(x)=(100x-2x^2)~~ - ~~(500+9x)\implies P(x)=91x-2x^2-500 \\\\\\ \stackrel{\textit{at a production of 25 units, x =25}}{P(25) = 91(25)-2(25)^2-500}\implies P(25)=\stackrel{2275-1250-500}{525}$