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Olin [163]
3 years ago
11

Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)^2 = 225y^2+12x^3y+0.16x^6

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 15y

2ab = 12x³y  

2* 15y*b = 12x³y  

b=\frac{12*x^{3}*y}{2*15*y}\\\\b=\frac{2x^{3}}{5}\\\\b=0.4x^{3}

(15y + 0.4x³)

Kitty [74]3 years ago
5 0

Answer:

<h2>∗ = 0.4x³</h2>

Step-by-step

We have :

2×(0,4)×15=12

(0,4)^2=0,16

(15y + ∗)^2 = 225y² + 12x³y + 0.16x⁶

                 = (15y)² + 2×(15y)×(0.4x³) + (0.4x³)²

then

∗ = 0.4x³

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The formula for the standard deviation of a sample is:
timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0
3 years ago
Eric bought apples and oranges for $7.75. He paid $2.35 for all the apples
Kruka [31]

Answer:

He bought 12 oranges.

Step-by-step explanation:

Key words: "ALL the apples" "EACH orange."

7.75-2.35= 5.4

5.4/0.45= 12

8 0
3 years ago
What does 3 exponent -2 equal
inysia [295]
I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!
4 0
3 years ago
Solve for X: 2(x + 5) + 3(x – 2) = 29<br> please explain too! will mark brainliest
8090 [49]

Answer:

5

Step-by-step explanation:

2x+10+3x-6=29

5x+4=29

5x=25

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3 0
4 years ago
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Naddika [18.5K]

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

7 0
3 years ago
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