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VMariaS [17]
3 years ago
6

An airplane's change in altitude before landing is shown in the table. what equation represents this change in altitude?

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

a=-4000m+39000

Step-by-step explanation:

From the given table, we can see that the difference between any consecutive altitude is 4000 ft.

31000 - 35000 = -4000

27000- 31000 = -4000

23000-27000 = -4000

Hence, it represents an arithmetic sequence with a = 3500 and d = -4000

The general term of an arithmetic sequence is given by

a_n=a+(n-1)d\\\\a=35000+(m-1)(-4000)\\\\a=35000-4000m+4000\\\\a=-4000m+39000

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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
Is 8 x 6 =(4×6)+(4×6)true or false
creativ13 [48]
Yes 8*6=48 and 4*6+4*6=48
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3 years ago
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The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the in
n200080 [17]

Answer:

H (b) = 0.722^b(6)

Step-by-step explanation:

The first time the basketball bounces it reaches a height of (1-0.278)(6) = (0.722) (6).

The second time the basketball bounces it reaches a height of (0.722) (0.722) (6) = [(0.722) ^ 2] (6). Therefore, after b rebounds the height that the basketball will reach is given by:

H (b) = 0.722^b(6)

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Step by step explanation on how to solve -22-(6)(-9)/3
timofeeve [1]

Answer:

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Step-by-step explanation:

-22-(6)(-9)/3

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What is the slope of the line containing the points (-2, 1) and (4, -3)?
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Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

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