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2 years ago

Formula for completing the square

Mathematics

1 answer:

zaharov [31]2 years ago

7 0

Answer:

(b/2)^2 (ADD THIS TO BOTH SIDES IF YOU ARE USING IT)

B is the second term in a quadratic equation.

Step-by-step explanation:

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Make sure it's fully reduced.<br><br> 2 - x = 5/8

postnew [5]

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, subtract 2 from both sides

2 (-2) - x = (5/8) - 2

-x = 5/8 - 2

Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:

-x = 5/8 - 16/8

-x = - 11/8

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-11/8)/-1

x = 11/8

11/8 is your answer for x

<em>~Rise Above the Ordinary</em>

7 0

3 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is 0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that ;

$S \sim N ( 1200,60)$

the probability that the sample mean will be larger than 1224 will now be:

$P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })$

$P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })$

$P(\overline X > 1224) = P(Z > 2.4 })$

$P(\overline X > 1224) =1 - P(Z \leq 2.4 })$

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 - 0.9918

P(\overline X > 1224) = 0.0082

Hence; the probability that the sample mean will be larger than 1224 is 0.0082

4 0

3 years ago

Find the length of rhombus whose diogonals are length 12 cm and 16 cm

grin007 [14]

In ΔAOD (AD) =(AO)

2+(OD)

2 =36+64 AD

2 =100

AD= 100

=10cm

Rhombus has all sides equal

AB = AD = BC = CD = 10 cm

7 0

3 years ago

The quotient of a number and 5 is less than 4

cupoosta [38]

Answer:

n ÷ 5 < 4

Step-by-step explanation:

Quotient is to divide.

Let n be the unknown number.

Now you have the equation needed.

8 0

2 years ago

4(0.2x-5)=12 what is x

Genrish500 [490]

Answer: skksskk

Step-by-step explanation:

kssmns

7 0

3 years ago

Formula for completing the square ​

Formula for completing the square