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abruzzese [7]
3 years ago
5

Please help and show work if you can

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

According to Euclidian theorem (x+9)^2 = 18*8

(x+9)^2 = 144 find the root for both sides

x + 9 = 12 subtract 9 from both sides

x = 3

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Annual entertainment expenses in a population of 100 families have a mean of $2040 and a standard deviation of $360.
kirill [66]

Answer:

The correct answer is:

(a) Mean = 170,

    Standard deviation = 30

(b) 1700

Step-by-step explanation:

Given:

  • n = 100
  • μ = 2040
  • σ = 360

(a)

Mean of monthly expenses will be:

= \frac{\mu}{2}

= \frac{2040}{2}

= 170

Standard deviation will be:

= \frac{\sigma}{12}

= \frac{360}{12}

= 30

(b)

The total amount of monthly expenses will be:

= n\times \frac{\mu}{12}

= 100\times 170

= 1700

3 0
3 years ago
You estimate that there are 76 marbles in a jar. The actual amount is 81 marbles. Find the percent error. Round to the nearest t
oksian1 [2.3K]
You were 6.71% off. Hope that helps
7 0
3 years ago
How does this polynomial identity work on numerical relationships?<br> (y + x) (ax + b)
allsm [11]

Answer:

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

Step 1:

(a + x) (ax + b)

Step 2: Proof

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

Step 3: Proof

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

(18)(7) =(50)+(20)+(56)

126 =126

7 0
4 years ago
Which of the following expressions has more than one term? (1 point)
IceJOKER [234]

'dz' because d and z are different values.

6 0
3 years ago
Read 2 more answers
A youth basketball coach has 12 kids on his team and he selects 5 kids to start each game. To be fair he wants to start a differ
alisha [4.7K]

_{12}C_5=\dfrac{12!}{5!7!}=\dfrac{8\cdot9\cdot10\cdot11\cdot12}{120}=792

792>20, so yeah, he will be able.

8 0
3 years ago
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