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Gnom [1K]
3 years ago
11

Aron wrote the function f(x)=25x-15 find the amount of money he would make after washing x cars. Select all of the values below

that are in the domain of Aron’s function
A-2
B-2.3
C-5
D-7.1
E-10
Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

A.. 2

 C.. 5

 E.. 10

Step-by-step explanation:

If x represents the number of cars that wash Aron, then the domain of x must contain only integers and positive numbers (natural numbers)

This, because Aron can not wash -3 cars, it would be absurd then for x to be a negative number.

In the same way Aron can not wash 1.29 cars. Or washed 1 car or washed 2, it is not consistent in this case to say that washed a car and a half, for example.

Therefore the correct answer is the options.

A.. 2

C.. 5

E.. 10

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

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".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
I don't get how to work out the repeating problems, could someone explain please?
barxatty [35]
Detecting...

Your answer would be:

0.025 = 1/40 

0.025/1 * 1000/1000 = 25/1000

25 \div 25 / 1000 \div 25 = 1/40

1/40 is your answer.
3 0
3 years ago
There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each
Sunny_sXe [5.5K]

Step-by-step explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

17 b^3/8 = 118.125

b^3 = 55.58

b = 3.816in

s = 2.544in

6 0
2 years ago
Dominic is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcom
oksian1 [2.3K]

Answer:

If he spins a spinner with 5 equal sections they have equally likely probability of 20%

If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%

If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7

Total number of outcomes = 5 * 6 * 4 = 120

7 0
2 years ago
I. need help plsssssssssssssssss
ValentinkaMS [17]

Answer:

I believe it is 1 4 2

Step-by-step explanation:

3 0
3 years ago
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