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QveST [7]
2 years ago
15

The keyless entry system in some cars uses a 4-digit keypad. There are 10 possible digits, and the digits can be repeated. How m

any different combinations are there?
Mathematics
1 answer:
Len [333]2 years ago
8 0
This item can be answered through the concept of fundamental principles of counting. In the first of the four digits, there are 10 possible digits. The same with all the other 3 places or digits of the code. That is,
                             n = 10 x 10 x 10 x 10 
Giving us the answer of 10,000. Thus, there are 10,000 possible keys for the keyless entry. 
Guest
1 year ago
thanks
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Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?
mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

(x - 4)^{2} - \frac{2}{3} = 6y - 12

We can rearrange the function as

(x - 4)^{2} - \frac{2}{3} = 6y - 12

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ (x - 4)^{2} = 6y - \frac{34}{3}

⇒ x - 4 = \pm \sqrt{6y - \frac{34}{3}}

⇒ x = 4 \pm \sqrt{6y - \frac{34}{3}}

Therefore, the inverse function will be, y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the correct option is option B. (Answer)

7 0
2 years ago
Read 2 more answers
Explain and discuss why engineers usually want the minimum variance unbiased estimator achieved by using the MVUE in making engi
Triss [41]

Answer:

Since the name indicates Minimum Variance Unbiased Estimator-first of all it is a parameter estimator. Secondly, it is an unbiased estimator so that the sample is carried out randomly. I.e. whenever a sample is chosen, there is no personal bias.

Then we can consider more than one sample-based unbiased estimator but sometimes they can vary in variation. But we have always intended to select an estimator that has minimal variance.

Therefore if the unbiased estimator has minimal variation between all unbiased class estimators then it is known as a good estimator.

The advantage of MVUE is that it is impartial and has a minimal variance of all unbiased estimators amongst the groups.

At times we get an estimator such as MLE which is not unbiased because the sample can be personally biased. Now let us assume an instructor needs to find the lowest marks in a physics class. Presume an instructor picks a sample and interprets the lowest possible marks.

Again the mistake could be that the instructor may choose his favorite sample learners because the sample might not be selected randomly. Therefore it is important to select an unbiased estimate with a minimum variance.

8 0
2 years ago
If 24= 2f+3f+f, find f​
VashaNatasha [74]

Answer:

6f = 24

f = 4

Step-by-step explanation:

3 0
2 years ago
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What is the mean of the following data values ? 22,37,49,15,92
monitta
We have that

[<span>22,37,49,15,92]

step 1
</span>First add all the variables up.
        [22+37+49+15+92] = 215
step 2
   Then divide the answer by how many variables there are.
        215 divide by 5 = 43


the answer is 
the mean is 43
5 0
2 years ago
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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x
VikaD [51]

It looks like you're given

g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du

Then by the additivity of definite integrals this is the same as

g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}

8 0
2 years ago
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