All categories

3 years ago

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

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

You might be interested in

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

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

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

4 0

3 years ago

Read 2 more answers

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:

$H (b) = 0.722^b(6)$

3 0

3 years ago

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

timofeeve [1]

Answer:

-4

Step-by-step explanation:

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

my bad it shows explanation

5 0

3 years ago

Read 2 more answers

What is the slope of the line containing the points (-2, 1) and (4, -3)?

Kay [80]

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

8 0

2 years ago