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Sveta_85 [38]
3 years ago
11

Find the median of these numbers 5,9,13,7,5,7

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

The mean is 7

Step-by-step explanation:

5,5,7,7,9,13

9-7 is going to get 7

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enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2
Marat540 [252]
The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
6 0
3 years ago
Read 2 more answers
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is
marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

8 0
3 years ago
F(x) = x^2 + x - 11
Stella [2.4K]

Answer: y = − \frac{39}{4}

Step-by-step explanation:

8 0
2 years ago
Hello so as you can see i got a ton of hw :) Helpp :')
olasank [31]

Answer:

Step-by-step explanation:

A. 1.13 and B is 1.37

8 0
3 years ago
Read 2 more answers
5•1000000 is how many times as large as 5•10000
gizmo_the_mogwai [7]

Answer:

100 times

Step-by-step explanation:

<em>5•1000000</em> has 2 more zeros than <em>5•10000 </em>so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest

3 0
2 years ago
Read 2 more answers
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