MATHEMATICS HIGH SCHOOL

Write the expanded form for this expression

-1/2(y - x)

Answers

Answer 1
Answer:

Answer:  =-1/2x+-1/2y

Step-by-step explanation:

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1234552°447°m/1 =m/2 =m/3=m/4=m/5=
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4% of the lightbulbs produced at Shady Stan's lightbulb factory are defective. An inspector visits the factory and randomly grabs 200 lightbulbs. Find the mean and standard deviation.

Answers

Answer: Mean = 8 and standard deviation is 2.77

Step-by-step explanation:

The mean and standard deviation for a binomial distribution is given by :-

\text{Mean}=np\n\n\text{Standard deviation}=√(np(1-p)), where n is the sample size and p is the probability of getting success.

Given : The proportion of the lightbulbs produced at Shady Stan's lightbulb factory are defective: p=0.04

Sample size : n=200

Then , the mean and standard deviation for a binomial distribution is given by :-

\text{Mean}=200*0.04=8\n\n\text{Standard deviation}=√(200(0.04)(0.96))=2.7712812921approx2.77

A literal equation has only one variable.
True
False

Answers

<b>The answer is False.</b>

<b>The reason is that, the letters or variables in a literal equation are like parameters that can be any real number.</b>

A literal equation has two or more variables or letters, that are used to represent real values.

An example is the perimeter of a square, which is given by the formula,

P=4l
Here, the P represents perimeter of the square and l represents the length of the square.

Since the length of a square can assume any positive value,the above literal equation has <b>infinitely many solutions</b>.

For instance, if

l=1, P=4*1=4

l=2, P=4*2=8

and so on and so forth.

Other examples of literal equations include:

The perimeter of a rectangle, which is given by the formula:

P=2w + 2l

The formula for finding the perimeter of a circle:

C = 2 \pi \: r

The set of values that satisfy the above formulas are infinitely many.

This statement is actually false.

I have provided proof and wish you all the best (grade).

The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x?

Answers

Value of x is 9 As when we multiply a + 3 by -2a2 + 15a + 6 We get (a + 3) (-2a2 + 15a + 6) -2a3 + 15a2 + 6a - 6a2 + 45a + 18 -2a3 + 9a2 + 51a + 18 If we compare the coefficients of a2, we get x = 9

Answer:

9

Step-by-step explanation:

Sandy has 16 roses,8 daisies, ando 32 tulips. She wants to arrange al the flowers in boutiquets. Each buquet has the dame númber ofrece flowers and the same type ofrece flower. What is the greatest number of flowers that could be in a bouquet

Answers

Answer:

8 flowers is the greatest number that can be in each buquet.

Step-by-step explanation:

Sandy has

  • 16 roses.
  • 8 daisies.
  • 32 tulips.

She wants to arrange these type of flowers in buquets, but she wants to have equal number of flowers in each buquet.

To answer this question, we have to calculate the Greatest Common Factor (GCF), which is the largest number that can divide 16, 8 and 32.

To calculate the GCF we write down the divisors of all numbers

8: 1, 2, 4, 8.\n16: 1, 2, 4, 8, 16.\n32: 1, 2, 4, 8, 16, 32

You can observe that the largest common number that divides equally all three numbers is 8.

Therefore, the greatest number of flowers that could be in a bouquet is 8.

7 because

6+8+32 =56 total of flowers and if you divided into bouquets you would have 8 bouquets each 2 roses 1 daisy and 4 tulips


The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

Answers

We know that the formula for the area of a rectangle is: 

A=lw 

We know that the area is 165. Now we need to solve for the dimensions. 

Let the width of the rectangle be "x"

Then the length of the rectangle is 3x+2 

Substitute. 

(3x+2)(x)=156 

Multiply the terms. 

3x^2+2x=156 

Bring the 156 over. 

3x^2+2x-156=0 

We have to use the quadratic formula to solve this now. Let us restate it: 

x= (-b± √(b^2-4ac) )/(2a)

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is: 

( √(469)-1 )/(3)

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include. 

Hope this helped! :) 

~Cam943, Junior Moderator
l×b=area
l=2+3b
2+3b ×b=165
3b²=163
b²=54.3
b=√54.3
b=7.37 or 7.4=7
b=7ft
l=2+3(7.4)
l=2+ 22.2
l=24.2=24
l=24ft

What is the factored form of 27d^6+8g^12?

Answers

Answer

(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)


Explanation

We can factor out the following equation as follows:

27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²

               = (3d²)³ + (2g⁴)³

                = (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)

               =  (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
I hope this helps you
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