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frozen [14]
3 years ago
15

Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good

explanation plz)
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.

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Rick cuts a 12-foot-long ribbon into 2 pieces. One piece is 3.5 feet longer than the other. What is the length of each piece?
GREYUIT [131]

Its impossible there is no way to solve it because x+3.5= y no number can make 12 if one number is 3.5 ft longer than the other Ignore this i dont feel like erasing this part.

144 in. 42 in. greater than the other 42 + x = y Nvm if you convert the numbers too in. the numbers are 93 + 51 = 144 and if you convert it back it would be

7.75 + 4.25 = 12

3 0
2 years ago
You earn $7.50 per hour at a fast food restaurant. You earned $123.75 last week. How many hours did you work last week?
ladessa [460]
I believe you would need to divide 123.75 by 7.50.

The equation would look something like this:
7.50x=123.75
Where x = # of hours worked
123.75 / 7.50 = 16.5
so x = 16.5
You worked for 16.5 hours
3 0
3 years ago
As Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. Convert this speed to miles per mi
bekas [8.4K]
Saturn will travel 86,400 miles in 4 minutes.
6 0
3 years ago
Read 2 more answers
Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model
alexira [117]
The formula for exponential decay is 
y=a(1-r)^{x}

where  a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 .  2018-2012 = 6 years)

y=28750(1-0.12)^{6}

<span>y </span>≈ <span>13351.62</span>
8 0
3 years ago
An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations
Hoochie [10]

Answer:

a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

b) E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

5 0
3 years ago
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