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Liula [17]
3 years ago
14

A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales tota

l s dollars, he makes a total of 2000 + 0.1s dollars. What does 2000 represent?
Mathematics
1 answer:
icang [17]3 years ago
7 0
2000 represents his salary and 0.1s is the commission.
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The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall
lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

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 normally distributed samples are 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.

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.

In this problem, we have that:

\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

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

By the Central Limit Theorem

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

Z = \frac{1100 - 1300}{110.68}

Z = -1.81

Z = -1.81 has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0
3 years ago
A bank charges a service fee of 70.50 per month for a checking acount
timurjin [86]

The months till the account stability is terrible is 1.3 months.

<h3>What is account stability?</h3>
  • In banking, the account stability is the amount of coins you have were given available on your checking or economic financial savings account.
  • Your account stability is the net amount available to you anyways deposits and credit score had been balanced with any costs or debits.
  • Your economic organization account balance suggests you methods a brilliant deal coins you have were given on your account.
  • That coins is there for you withdraw or depart in place, likely with a view to collect interest payments on it.
  • The answer isn't always truely yes, though, because of the truth your balance might not be exactly what it seems.
  • The available balance can be taken out of the account in cash at an ATM or with a economic organization teller.
  • The debit card transfers coins from the coins inside facet the checking account.

To learn more about account stability from the given link:

brainly.com/question/13387881

#SPJ13

4 0
1 year ago
What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
astraxan [27]

Answer:

Step-by-step explanation:

(x-3)^2+(y-8)^2 = 25

6 0
3 years ago
Through: (1, -3), slope = -4<br> A) y=-x+4 B) y = x +4<br> C) y = 4x + 1 D) y=-4x + 1
Rudik [331]

Answer:

D) y = -4x + 1

8 0
2 years ago
5. A researcher creates a scatter plot that displays the relationship between the number of years in business, , and the percent
Black_prince [1.1K]

Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.

<h3>How to find the residual.</h3>

From the complete information, the predicted value for the point (3, 0.42) will be:

= (0.091 × 3) + 0.060

= 0.0273 + 0.060

= 0.333

Therefore, the residual will be:

= 0.42 - 0.333 = 0.087

The predicted value for the point (3, 0.3) will be:

y = 0.091x + 0.060.

= (0.091 × 3) + 0.060.

= 0.333

Therefore, the residual will be:

= 0.3 - 0.333 = -0.033

Therefore, the residual for the two points will be 0.087 and -0.333 respectively.

Learn more about residuals on:

brainly.com/question/26255019

8 0
2 years ago
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