The volume of the car is 1800cm^3 which is equivalent to 0.0018m^3
<h3>Scale modelling</h3>
Given the scale factor that model of a car is amde to a scale of 1:40, Giving that the model as 45cm^3, this means that;
1 = 45cm^2
Determine the volume of the car
40 = x
Find the ratio
1/40 = 45/x
x = 40*45
x = 1800cm^3
x = 0.0018m^3
Hence the volume of the car is 1800cm^3 which is equivalent to 0.0018m^3
Learn more on scale factor here; brainly.com/question/25722260
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Answer:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
Step-by-step explanation:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)
Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
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 lenghts of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
153.86 is the answer because the formula is Pi times radius squared. So, the equation would be 3.14X7^2=3.14X49=153.86
Answer:
8008
Step-by-step explanation:
nCr=16!/6!*(16-6)!=8008