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Alexeev081 [22]
3 years ago
10

How do you do 6y^2-8y?

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0
You factor out 2y from the situation
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Select All equivalent expressions to 4( x + 2)
sergey [27]

Answer:

3x 3-x and 3+x

6 0
3 years ago
Read 2 more answers
Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show
Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is P(x \ge 60)=0.0901

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

        in every 1000 children a particular genetic defect occurs to 1

        The number of sample selected is n= 50,000

The probability of observing the defect is mathematically evaluated as

              p = \frac{1}{1000}

                 = 0.001

The probability of not observing the defect is mathematically evaluated as

            q = 1-p

               = 1-0.001

               = 0.999

The mean of this probability is mathematically represented as

                 \mu = np

Substituting values

                \mu = 50000*0.001

                    = 50

The standard deviation of this probability is mathematically represented as

   \sigma = \sqrt{npq}

Substituting values

      = \sqrt{50000 * 0.001 * 0.999}

     = \sqrt{49.95}

     = 7.07

 the probability of detecting  x  \ge60 defects can be represented in as  normal distribution like

       P(x \ge 60)

in standardizing the normal distribution the normal area used to approximate P(x \ge 60) is the right of 59.5 instead of 60 because  x= 60 is part of the observation

The z -score is obtained mathematically as

                z = \frac{x-\mu }{\sigma }

                   = \frac{59.5 - 50 }{7.07}

                  =1.34

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

  The total area under the curve is 1

So

    P(x \ge 60) \approx P(z > 1.34)

                     = 1-P(z \le 1.34)

                    =1-0.9099

                  =0.0901

             

   

3 0
3 years ago
Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formul
saveliy_v [14]

Answer:

20

Step-by-step explanation:

AB = √(-4)² + (-3)²

AB = √ 16 + 9

AB = √ 25

AB = 5

AD = 4 ; DC = 4 ; BC = 7

Perimeter = 5 + 4 + 4 + 7 = 20 units

3 0
2 years ago
4x-5=7+4y<br> How do you solve?
solong [7]
 solve for x.

4x−5=7+4y

Add 5 to both sides.

4x−5+5=4y+7+5

4x=4y+12

Divide both sides by 4.

4x/4=4y+12/4

x=y+3

-----------------------------------------------------
Have a nice day! :)

5 0
3 years ago
Use the number line to show<br> 2/3 divide 1/12 <br> What is the quotient
JulsSmile [24]

Answer:

8

Step-by-step explanation:

There is no number line given, so I will use the "keep change flip" method.

\frac{2}{3}\div\frac{1}{2}\\\rule{150}{0.5}\\  \frac{2}{3}\cdot\frac{12}{1}\\\\\frac{2\cdot12}{3\cdot1}\\\\\frac{24}{3}\\\\\boxed{8}

Hope this helps.

4 0
3 years ago
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