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RideAnS [48]
3 years ago
11

9(n+3)=7n-3 and steps please

Mathematics
1 answer:
Grace [21]3 years ago
6 0
9n + 27 = 7n -3
2n + 27 = -3
2n = -30
n = -15
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Delvig [45]

Answer:

10a + 2b

Step-by-step explanation:

Add the lengths of all sides:

3a + b + b + 2a - b + 3a + b + b + 2a - b

Now combine like terms:

10a + 2b

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3 years ago
3x3x3x3x2x2. Complete the expression using exponents
cricket20 [7]

Answer:

3 to the power of 4 and 2 squared

Step-by-step explanation:

count the amount of numbers and put the little number in top right (exponent)

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A jeweller paid $6800 for 165 bracelets bought in China .The customs Department in his country charged him $1360 in duty
vodomira [7]
You’re so smart, I love questions like this. Hopefully you can solve it so I can know too!
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3 years ago
(a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check
kenny6666 [7]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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
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