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Naya [18.7K]
2 years ago
14

When 3x^2-12x-7 is written in the form of a (x-h)^2+k, what is the value of a,h, and k?

Mathematics
1 answer:
slavikrds [6]2 years ago
3 0
A=2,h=5,k=0 and the vertex,which is (h,k) is vertex (-5,0)
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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
Z is less than 2 and equal to or less than 8 intersection​
insens350 [35]

Less than 2 = z < 2

Less than or equal to 8 = z ≤ 8

z ≤ 8

z < 2

8 0
3 years ago
Which of the point-slope equations below is correct for the line that passes through points (5,6) and (1,1)?
kherson [118]
It's y-6=5/4(x-5) which is C
6 0
3 years ago
Simplify the expressions by combining like terms<br><br> 1.5r - 3r + 8r + 2.5r
Tomtit [17]

Answer:

9r

Step-by-step explanation:

1.5r - 3r + 10.5r

10.5r + 1.5r = 12r

12r - 3r = 9r

Final Answer = 9r

5 0
3 years ago
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Kobotan [32]

80 \div 2 = 40 \\ 40 \times 5 = 200
there are 200 houses
4 0
3 years ago
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