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Julli [10]
2 years ago
9

10. What makes an equation a quadratic?

Mathematics
2 answers:
CaHeK987 [17]2 years ago
6 0

Answer:

D. The equation has a variable multiplied by itself. A squared variable.

Step-by-step explanation:

A quadratic equation will always start with a term being squared. For example, 8x^{2} + 5x + 7 = 44. Another example would be 4x^{2} + 2x - 10 = 12. These are just random numbers, but the equation will always look the same! Hope this helps!

snow_tiger [21]2 years ago
3 0

Answer:

D. The equation has a variable multiplied by itself. A squared variable.

Step-by-step explanation:

Yes, they are different. Imagine your random variable takes only the values 0 and 1, with equal probability.

Squaring your value gives 0 and 1 with equal probability;

multiplying by itself gives 0*0,0*1,1*0, and 1*1 with equal probability.

The first has an expected value of .5 the second 0.25

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Q1. Find y, if √12 - √147 + y√3 = 0
o-na [289]

Answer:

Q1. y = 5 Q2.  (√2 - √3)/2

Step-by-step explanation:

Q1

√12 - √147 + y√3 = 0

Taking -√147 and √12 to the right hand side, we have

y√3 = √147 - √12

y√3 = √(3 × 49) - √(3 × 4)

y√3 = √3 × √49 - √3 × √4

y√3 = √3 × 7 - √3 × 2

y√3 = 7√3 - 2√3

y√3 = 5√3

Dividing both sides by √3, we have

y√3/√3 = 5√3/√3

y = 5

Q2

Sin45° - Cos30°

Since Sin45° = √2/2 and Cos 30° = √3/2

Substituting these values into the equation, we have

Sin45° - Cos30° = √2/2 - √3/2

Taking L.C.M of both factors, we have

Sin45° - Cos30° = (√2 - √3)/2

6 0
3 years ago
5/8 - 3/10 <br> A. 13/40 <br> B. 1/20 <br> C. 1/4<br> D. 1/5
densk [106]

5/8 - 3/10

Find the common denominator:

Multiples of 8:  8, 16, 24, 32, 40 (8 x 5 = 40)

Multiples of 10: 10, 20, 30, 40  (10 x 4 = 40)


5/8 = 5*5 / 8*5 = 25/40

3/10 = 3*4 / 10 *4 = 12/40


Now you have 25/40 - 12/40

25 -12 = 13

Answer = 13/40


The answer is A.

7 0
2 years ago
Read 2 more answers
-6×4-64÷(-3.3+1.7)<br>Please help​
shepuryov [24]

Answer: 16

Step-by-step explanation:

-24-64 / (-1.6)

-24-64 / (-8/5)

-24 + 64 x 5/8

-24 + 8 x 5

-24 + 40

= 16

6 0
2 years ago
Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests tha
dezoksy [38]

Answer:

a. <u>Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

b. <u>The probability is 0.2029 or 20.29%</u>

c. <u>The probability is 0.2029 or 20.29%</u>

d. <u>The probability is 0.1671 or 16.71%</u>

e. <u>The probability is 0.9975 or 99.75%</u>

Step-by-step explanation:

<u>a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

b. Let's use the binomial distribution table, this way:

Binomial distribution (n=10, p=0.697)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

4 0.0384 0.0496

5 0.1059 0.1555

6 <u>0.2029</u> 0.3584

7 0.2668 0.6252

8 0.2301 0.8553

9 0.1176 0.9729

10 0.0271 1.0000

<u>The probability is 0.2029 or 20.29%</u>

c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 <u>0.2029</u> 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

<u>The probability is 0.2029 or 20.29%</u>

d. Let's use the binomial distribution table, this way:

Binomial distribution (n=5, p=0.697)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0026 0.0026

1 0.0294 0.0319

2 0.1351 <u>0.1671 </u>

3 0.3109 0.4779

4 0.3576 0.8355

5 0.1645 1.0000

P(0) + P(1) + P (2) = 0.0026 + 0.0294 + 0.1351

<u>The probability is 0.1671 or 16.71%</u>

e. Using the same binomial distribution table we used in d. we have:

P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

<u>The probability is 0.9975 or 99.75%</u>

7 0
3 years ago
A tessellation is the regular _____ of a plane shape.
KIM [24]
A tessellation is the regular t<span>iling of a plane shape</span>
4 0
3 years ago
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