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Zarrin [17]
3 years ago
7

HELP ASAP!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
weeeeeb [17]3 years ago
8 0
1. The median is 25
2. The upper quartile is 40, I believe
Likurg_2 [28]3 years ago
6 0

Answer:

1. Median of the data set is 25. Therefore the correct option is C.

2. The upper quartile of the data set is 37.5. Therefore the correct option is B.

Step-by-step explanation:

The given data set is

25,8,10,35,5,45,40,30,20

Arrange the data in ascending order.

5,8,10,20,25,30,35,40,45

Median of the data set divides the data into two equal parts. Median is the middle term of the data set.

Divide the data in two equal parts.

(5,8,10,20),25,(30,35,40,45)

Median of the data set is 25. Therefore the correct option is C.

Divide each parenthesis in two equal parts.

(5,8),(10,20),25,(30,35),(40,45)

Upper quartile of the data set divides the data in 3:1.

Q_3=\frac{35+40}{2}=37.5

The upper quartile of the data set is 37.5. Therefore the correct option is B.

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Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan
Sophie [7]

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

4 0
3 years ago
The Cartesian coordinates of a point are given. (a) (−5, 5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0
Alex73 [517]

Answer:

a)

(i) The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) The coordinates of the point in polar form is (-5√2 , 3π/4)

b)

(i) The coordinates of the point in polar form is (6 , π/3)

(ii) The coordinates of the point in polar form is (-6 , 4π/3)

Step-by-step explanation:

* Lets study the meaning of polar form

- To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √( x2 + y2 )

2. θ = tan^-1 (y/x)

- In Cartesian coordinates there is exactly one set of coordinates for any

 given point

- In polar coordinates there is literally an infinite number of coordinates

 for a given point

- Example:

- The following four points are all coordinates for the same point.

# (5 , π/3) ⇒ 1st quadrant

# (5 , −5π/3) ⇒ 4th quadrant

# (−5 , 4π/3) ⇒ 3rd quadrant

# (−5 , −2π/3) ⇒ 2nd quadrant

- So we can find the points in polar form by using these rules:

 [r , θ + 2πn] , [−r , θ + (2n + 1) π] , where n is any integer

 (more than 1 turn)

* Lets solve the problem

(a)

∵ The point in the Cartesian plane is (-5 , 5)

∵ r = √x² + y²

∴ r = √[(5)² + (-5)²] = √[25 + 25] = √50 = ±5√2

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (5/-5) = tan^-1 (-1)

- Tan is negative in the second and fourth quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = 2π - tan^-1(1) ⇒ in fourth quadrant r > 0

∴ Ф = 2π - π/4 = 7π/4

OR

∴ Ф = π - tan^-1(1) ⇒ in second quadrant r < 0

∴ Ф = π - π/4 = 3π/4

(i) ∵ r > 0

∴ r = 5√2

∴ Ф = 7π/4 ⇒ 4th quadrant

∴ The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) r < 0

∴ r = -5√2

∵ Ф = 3π/4 ⇒ 2nd quadrant

∴ The coordinates of the point in polar form is (-5√2 , 3π/4)

(b)

∵ The point in the Cartesian plane is (3 , 3√3)

∵ r = √x² + y²

∴ r = √[(3)² + (3√3)²] = √[9 + 27] = √36 = ±6

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (3√3/3) = tan^-1 (√3)

- Tan is positive in the first and third quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = tan^-1 (√3) ⇒ in first quadrant r > 0

∴ Ф = π/3

OR

∴ Ф = π + tan^-1 (√3) ⇒ in third quadrant r < 0

∴ Ф = π + π/3 = 4π/3

(i) ∵ r > 0

∴ r = 6

∴ Ф = π/3 ⇒ 1st quadrant

∴ The coordinates of the point in polar form is (6 , π/3)

(ii) r < 0

∴ r = -6

∵ Ф = 4π/3 ⇒ 3rd quadrant

∴ The coordinates of the point in polar form is (-6 , 4π/3)

6 0
3 years ago
Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?
Step2247 [10]

Answer:

48 Plants

Step-by-step explanation:

3 per packet

42 / 14 = 3

3 x 16 = 48

48 Plants

Hope this helped!

5 0
2 years ago
Read 2 more answers
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Nina [5.8K]

Answer:

\huge \purple{ \boxed{ y =  \frac{2}{3} }}

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

\therefore \: y  \:  \: \alpha \:  \:  \frac{1}{x}  \\  \implies \: y =  \frac{k}{x} \\ (k = constant)  \\  \implies \: xy = k ...(1)\\ plug \: y = 2, \:  \: x = 3   \: in  \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6   \: in  \: equation \: (1)  \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \:  \: y =?  \\  \\ 9y = 6 \\  y =  \frac{6}{9}  \\ \huge \red{ \boxed{ y =  \frac{2}{3} }}

4 0
2 years ago
Given the line below.
Alchen [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
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