A member of the local department of transportation recorded the number of passengers that arrived on flights at the airport based on the month of the year. Some of her data is in the table, where month 1 is January, month 2 is February, and so on.

Month Passengers
1 3,771
2 3,814
5 3,890
7 3,889
10 3,881


If the curve of best fit for the data is y = -5x2 + 60x + 3,715, which is the best prediction of the number of passengers that arrived on flights in April?

A.
3,875
B.
3,895
C.
3,915
D.
5,823

Answers

Answer 1

Answer:

The correct option is A,3875  passengers

Step-by-step explanation:

The curve of best fit for the date y=-5x^2+60x+3715

For April which month 4  which means that x is 4

By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport  is determined thus.

y=-5*4^2+(60*4)+3715

y=-5*16+240+3715

y=-80+240+3715=3875

The number of passengers that arrived by flights in April, month 4 is 3875


Related Questions

Factor completely 5x2 - 20.

Answers

Answer:

[tex]5(x-2)(x+2)[/tex]

Step-by-step explanation:

Factor out 5:

[tex]5(x^2-4)[/tex]

Use difference of squares formula for the inside:

[tex]5(x-2)(x+2)[/tex]

Kendra flips a fair coin two times. What is the probability that she will flip tails both times?

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Answer:

Step-by-step explanation:

If p ÷2 = 4 and 2 - q = 4, what is the value of 2p + q
a 12
b 14
c 18
d 22

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Answer:

the answer is second one 14

PLEASE HELP!!

Use the Triangle Inequality Theorem to determine which set of numbers CANNOT form the side lengths of a triangle.

A. 7, 9, 20
B. 6, 14, 17
C. 8, 24, 30
D. 2, 2, 3
E. 12, 22, 32

Answers

Answer:A

Step-by-step explanation:

Side lengths do not adhere to the triangle inequality theorem.

How do I find the perimeter for a square and a triangle?












Answers

Answer: 24 inches.

Step-by-step explanation:

You can find the perimeter of the polygon by adding the side lengths.

First, find the missing side lengths.

There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.

We can then add the sides to find the perimeter:

4 + 9 + 5 + 1 + 5 = 24 inches long.

Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.

Find the sum of the interior angles
of a polygon with 35 sides.

Answers

Because this is a regular polygon all the interior angles are the same. The measure of each angle is the sum of their measures divided by the number of angles. 5940/35 = 169.71 degrees for each interior angle.

Find the mean for each data set. Number of Flowers . . . . . . <-----I-----I-----I-----I-----I-----I-----I-----I-----I-----> 10 11 12 13 14 15 16 17 18

Answers

Answer:

Well to find the mean of the above

take £ as sigma

therefore,

mean= £fx/£f

This simply means the sum of all the numbers divided by the number of members

therefore,

10 + 11+12+13+14+15+16+17+18= 126

And the number of figure present on the number line are 9, therefore 126 divided by 9

giving you a result of 14

Therefore the mean of the above numbers is 14.

In the basketball game, the Buffalo made a total of 25 shots. Some of the shots are 2- point shots while others are 3- point shots. If the Buffalo scored a total of 57 points, how many were 2-point shots?

Answers

Let's let x be the number of 3-point shots made.

Let's let y be the number of 2-point shots made.

So, then we have:

x+y = 25

And we have

3*x + 2*y = 57

So, we can solve this by substitution. Solving the first equation for x:

x=25-y

Now, plugging into the second equation:

3*(25-y) + 2*y = 57

Simplifying:

75-3y+2y = 26

75-57 = y

y=18

So the player made 18 2-point should and  7 3-point shots for a total of 57 points!

a sector with a central angle measure of 175 degrees has a radius of 12 cm, what is the area of the sector

Answers

Answer:

70pi

Step-by-step explanation:

Answer: 70π cm²

Step-by-step explanation: Khan Academy

Write the word sentence as an equation.

The quotient of 36 and a number g is 9.

Answers

Answer:

[tex]\frac{36}{g}[/tex]=9

If f(x) =(2,9%), what is f(3)?
A. 1/729
B. 729
C. 1/81
D. 81

Answers

Answer:

CCC

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

a p e x (just took the quiz)

Pretty tricky, first correct answer will get brainliest シ︎❤︎✰​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

a) The angles should sum to 90 degrees as it is a right angle

Thus x = 90 - 24 - 24

x = 42

b)

(i) It would be j as corresponding angles are equal

(ii) p + q + r = 225

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Peter's grandma has a trapezoidal garden, as in the picture.
a) What is the length of the fence of that garden?
b) What is the area of the garden?

The word in the top left corner in the picture is not linked to this task.
 ​

Answers

Length of fence = perimeter of trapezoid

                           = 12 + 6 + 5 + 5

                           = 28 meters

Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]

                         = 4([tex]\frac{12+6}{2}[/tex])

                         = 4 x 9

                         = 36 sq. meters

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
65 yd
13 yd
18 yd

Answers

Answer:

The area is  

[tex]72yd^{2}[/tex]

(square yards)

Step-by-step explanation:

Explanation:

In the given triangle a base  24 y d  and the corresponding height  6 y d

is given, so to calculate the area we can use:

A = 1 2× b × h

If we substitute thegiven numbers we get:

A = 1 2 × 24 × 6 = 12 × 6= 72

The units of base and height are the same (yards), so the calculated area is in  y d 2  (square yards)

Answer: The area of the given triangle is  72 square yards.

Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.

Answers

the answer would be 27% :3

Answer:

27%

Step-by-step explanation:

Solve the equation by doing the inverse operation to work backwards
x+13=25

Answers

Answer:

x = 12

Step-by-step explanation:

x+13=25

Subtract 13 from each side

x+13-13=25-13

x = 12

click here if your good t math it ez
Write three fractions that are equivalent to 1/2
Use a diagram to show how you know you are right.

Answers

Answer:2/4 3/6 4/8

Step-by-step explanation:

A)Greg
B)tony
C)Robert
D)John

Answers

Answer:

C

Step-by-step explanation:

Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.

4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.

Therefore, our answer is C) Robert. Hope this helps!

Angle relationships with parallel lines can someone answer please help

Answers

Answer:

x°= 34°

m<x and angle measuring 34° are corresponding angles since two lines are parallel with a third line intersecting them.

Question is in the picture

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.

Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-7-(-9)}{0-(-1)}[/tex]

[tex]m=\frac{2}{1}[/tex]

[tex]m=2[/tex]

Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.

[tex]y=mx+b[/tex]

[tex]y=2x-7[/tex]

If f(x)=2x+3, find the following value of f(x)=11.

Please help me understand this problem and the answer please. ​

Answers

This is how I would solve. F(x)=11 means that the known y value is 11. So we substitute it into the equation to solve.
F(x)=2x+3
11=2x+3
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In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the BEST estimate of the number of passengers?
A. 9 x 10°
B. 9 x 108
C. 8 x 108
D. 8 x 10°

Answers

Answer choice B or C

Please help! Correct answer only!

I've been on this question for more than an hour...

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 3 and then picking a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/16

Step-by-step explanation:

3 is one of the 4 available choices.

Then, if you pick it again, you get 1/4.

1/4* 1/4= 1/16

Answer:

1/16

Step-by-step explanation:

you have 1/4 chance to get 3 in your case if you pick it two times you gotta multiply the chances 1/4*1/4=1/16

Find a monic quartic polynomial f(x) with rational coefficents whose roots include
x=1-sqrt2, and x=2+sqrt5. Give your answer in expanded form.

Answers

Answer:

The polynomial hose roots are :

x = 1 - √2 and

x = 2 + √5

Is

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

Step-by-step explanation:

The roots of the equation are

x = 1 - √2 and

x = 2 + √5

(x - 1 + √2)(x - 2 - √5) = 0

x²- 2x - x√5 - x + 2 + √5 + x√2 - 2√2 - √10 = 0

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

This is the expanded form

what do u have to do???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Step-by-step explanation:

Step 1:  Answer the question

They are independent because the cards are always going to stay the same.  If each card that was picked and discarded, that would alter the future which would make it dependent.  But... since it doesn't change the cards, it is independent.

Answer: independent

Answer:

Independent

Step-by-step explanation:

Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent

If it was without replacement, they would have been dependent

PLEASE HURRY !!!!!
Step- by- step
Solve the equation for x:
4x - 4 = 6x + 8
Solve the equation for x:
1/3x + 4 = 10

Answers

4x- 4= 6x + 8

First combine like terms
4x - 6x = 8 + 4
-2x = 12
Divide each side by 2
x= -6

Number 2
1/3x + 4=10
Multiply each side by 3
x+ 12=30
x = 30-12
x=18

The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do
you have to pay if you buy 8 shirts?

Answers

Answer:

360

Step-by-step explanation:

50x4=200

200x0.9=180

180x2=360

Which ratio is equivalent to the ratio 18:24?
15:20
20:15
30:36
36:30

Answers

Answer:

Its none of the above but its 36:48 so try 36:30

Step-by-step explanation:

What is the formula for the circumference of a circle in terms of r

Answers

Answer:

C = 2πr

Step-by-step explanation:

The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr

What number is in the hundreds place in 500?

Answers

Answer:

The 5!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because it is the 3rd number from the ones place

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