2x^3+4x^2+8x Factor the polynomial. solve with steps
1 answer:
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<u>Answer:</u>
He must sell 190 posters make a profit of $300.
<u>Explanation: </u>
Given:
Base fee= $270
Fee for supplies= $2
Cost of poster=$5
To find:
The number of posters to be sold to get a profit of $300=?
Solution:
Let the number of posters sold be n.
Now, we know that,
profit = selling price – cost price
$ 300 = $ 5 for each poster – ( $ 270 base fee + $ 2 for each poster)
300 = 5 x n – (270 + 2 x n)
300 = 5n – 270 – 2n
5n – 2n = 300 + 270
3n = 570
n = 190
Answer:
The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
And the standard deviation of the distribution of the sum of values of X is given by,
The information provided is:
<em>μ</em> = $970
<em>σ</em> = $129
<em>n</em> = 102
Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.
Then,
Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.
Answer:
see attached
Step-by-step explanation:
It's almost easier for you to do this than it is to post a question on Brainly.
All you need to do is type the relevant expressions. Once you have Desmos show you the vertex, writing the x= equation for that is all that is required to draw it.
