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goblinko [34]
2 years ago
12

Factor: x² – 12x + 36 A. (2x – 12)(2x + 12) B. (2x – 12)^2 C. (x-6)(x + 6) D. (x-6)

Mathematics
2 answers:
Natalka [10]2 years ago
7 0
The answer is D. (X-6)
Grace [21]2 years ago
3 0

Answer:

I'm assuming choice 'D' is suppose to be (x-6)^2, which is the correct answer

Step-by-step explanation:

x^2 - 12x + 36

= (x-6) (x-6)

=(x-6)^2

If you need a further explanation on how to factor it I'll be happy to help

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An individual repeatedly attempts to pass a driving test. Suppose that the probability of passing the test with each attempt is
vladimir1956 [14]

Answer:

a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...

b) P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

And adding the values we got:

P(X \leq 3) =0.25+0.1875+0.1406=0.578

c) P(X \geq 5) = 1-P(X

And we can find the individual probabilities:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055

P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

Part a

Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...

Part b

We want this probability:

P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)

We find the individual probabilities like this:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

And adding the values we got:

P(X \leq 3) =0.25+0.1875+0.1406=0.578

Part c

For this case we want this probability:

P(X \geq 5)

And we can use the complement rule like this:

P(X \geq 5) = 1-P(X

And we can find the individual probabilities:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055

P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316

3 0
3 years ago
If ΔPQR ≅ ΔJKL and ∠P = 35º, then which other angle also equals 35º. a ∠J b ∠K c ∠L d None of these choices are correct.
aivan3 [116]

Answer:

A: Angle J

Step-by-step explanation

If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D

3 0
3 years ago
Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred
Tasya [4]

y=-4-x

y=2x-1


-4-x=2x-1

3x=-3

x=-1

y=-3


The type of equation is consistent because they intersect at ( -1,-3 )



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3 years ago
Read 2 more answers
T=3n-1 what is the 6th term
3241004551 [841]
Plug in 1 for n and solve, then plug in 2, and so on until you get to 3(6)-1=17
6 0
3 years ago
Read 2 more answers
Re-Write<br><br> 51/40<br> as a decimal.
kati45 [8]

Answer:

1.275

Step-by-step explanation:

4 0
2 years ago
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