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harina [27]
3 years ago
12

Order the numbers from least to greatest 0.36, 0.3, 0.25, 0.31

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

0.25, 0.3, 0.31, 0.36

Step-by-step explanation:

0.3 is actually 0.30

After this comparison is simple.

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Explain how to write a quadratic equation given the following three points on the graph (5,31) (3,11) (0,11)
masha68 [24]

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

y=ax^2+bx+c            ...(i)

It is passes through the point (0,11). So, substitute x=0,y=11 in (i).

11=a(0)^2+b(0)+c

11=c

Putting c=11 in (i), we get

y=ax^2+bx+11               ...(ii)

The quadratic function passes through the point (5,31). So, substitute x=5,y=31 in (ii).

31=a(5)^2+b(5)+11

31-11=a(25)+5b

20=25a+5b

Divide both sides by 5.

4=5a+b                  ...(iii)

The quadratic function passes through the point (3,11). So, substitute x=3,y=11 in (ii).

11=a(3)^2+b(3)+11

11-11=a(9)+3b

0=9a+3b

Divide both sides by 3.

0=3a+b                 ...(iv)

Subtracting (iv) from (iii), we get

4-0=5a+b-3a-b

4=2a

\dfrac{4}{2}=a

2=a

Putting a=2 in (iv), we get

0=3(2)+b

0=6+b

-6=b

Putting a=2,b=-6 in (ii), we get

y=(2)x^2+(-6)x+11

y=2x^2-6x+11

Therefore, the required quadratic equation is y=2x^2-6x+11.

7 0
2 years ago
If the level of significance (alpha) is 0.05, it means that the probability of rejecting the null hypothesis, when it is false,
Kaylis [27]

Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

We know that the level of significance ( denoted as \alpha ) is generally the probability of rejecting the null hypothesis when it is true.

Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

In percent : 0.05=5\%

Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

4 0
3 years ago
Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?
user100 [1]

Answer:

36 i think

Step-by-step explanation:

4 0
3 years ago
Please help fast!!!!!!
laiz [17]

Answer:

D

Step-by-step explanation:

I am so sorry if this is not right but I believe its D

3 0
2 years ago
Read 2 more answers
Determine the standard form of the equation for the circle with center (h,k)= (0,-2) and radius r=9
gladu [14]
Use the std eqn of a circle with center at (h,k) and radius r:

(x-0)^2 + (y+2)^2 = 9^2, or just x^2 + (y+2)^2 = 9^2.
5 0
3 years ago
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