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faltersainse [42]
3 years ago
11

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at th

e same rate of the descent. The planes height and minutes above the ground are related to each other. Identify the vari
ables in this situation: x=_____ y=____
What is the given information in this problem ( find all that apply)?
Y- intercept____ slope___one point (___,___)
second point: (___,___)
in this situation:
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
If we call y the height of the plane, we know when the time (x) is 0, the height is 30000. So let's write that in:

y = 30000 + (0)

Then, for every increase of a minute (x increases by 1), the height reduces by 2000. This can be written as:

y = 30000 - 2000x

Using what we know about y = mx+c equations, the slope of the line is -2000, and the y-intercept is (0, 30000).

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The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.
nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of  average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x).  Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.  

With reference to table we get

\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85

and

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97


∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31


4 0
3 years ago
What is the solution to this question?<br><br> Plz help thx.
Brilliant_brown [7]

\huge \sf \frac{9x^{2} }{4y }

<em>Refer to the attachment!!~</em>

3 0
2 years ago
Read 2 more answers
When you have 25 numbers, and Jake picks 3 random numbers and puts them back, what is the chance Bob has of picking those 3 numb
tensa zangetsu [6.8K]

Answer:

4 out of 25 percent chance

Step-by-step explanation:

if you divide the number and range them out. That's all i can tell you for now. Kinda busy. sorry

7 0
3 years ago
Please Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!! 20% of your family likes marshmallows melted on top of the sweet potato casserole. If
Allisa [31]

Answer:

C

Step-by-step explanation:

let's say the 18 was the 100 and x was the 20% of that 100, if they equal the same just take 20% of 18 (you will get 3.6)

Therefore is C : x/18 = 20/100.

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Identify the subsets of real numbers to which the number 25√ belongs.
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Answer:

Choose all that apply.

Step-by-step explanation:

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2 years ago
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