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Keith_Richards [23]
3 years ago
7

Find the eleventh term of the arithmetic sequence whose sixth term is 41, and whose fourteenth term is 97?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

76

Step-by-step explanation:

pattern in numbers

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Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines
lapo4ka [179]

Answer:

Continous distributions:

- A probability distribution showing the average number of days mothers spent in the hospital.

- A probability distribution showing the weights of newborns.

Step-by-step explanation:

A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).

A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.

A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.

A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.

3 0
4 years ago
Ellen camped and hiked for three consecutive days along a section of the Appalachian Trail. The distances she hiked on the three
Mrac [35]

Answer: 16 71/96 miles.

Step-by-step explanation: find the mean. add all the distances together and divide by 3 (the number of days) to get the answer.

3 0
4 years ago
I need help with the below question, thanks! :)
vampirchik [111]

<em>Abe should not accept the $500 and play the game.The mathematical expectation of the game is $666.67. </em>

<em />

<em>I may be wrong but that's my answer.</em>

7 0
3 years ago
What is the rectangular equivalence to the parametric equations?
denpristay [2]

Answer:

For x(θ) = 3cosθ + 2

y² = [9x²/(x - 2)²] - x²

For x(θ) = 3cosθ + 2

x² = [4y²/(y - 1)²] - y²

Step-by-step explanation:

Given the following equivalence:

x² + y² = r²

r = √(x² + y²)

x = rcosθ

cosθ = x/r

y = rsinθ

sinθ = y/r

Applying these to the given equations,

x(θ) = 3cosθ + 2

x = 3(x/r) + 2

xr = 3x + 2r

(x - 2)r = 3x

r = 3x/(x - 2)

Square both sides

r² = 9x²/(x - 2)²

(x - 2)²r² = 9x²

(x - 2)²(x² + y²) = 9x²

(x² + y²) = 9x²/(x - 2)²

y² = [9x²/(x - 2)²] - x²

y(θ) = 2sinθ - 1

y = 2y/r - 1

yr = 2y - r

(y - 1)r = 2y

r = 2y/(y - 1)

Square both sides

r² = 4y²/(y - 1)²

x² + y² = 4y²/(y - 1)²

x² = [4y²/(y - 1)²] - y²

8 0
3 years ago
Samantha buys a car for $19,000. Looking on Kelley Blue Book, she realized that
Yuri [45]

Answer:

$16,150

Step-by-step explanation:

hope this helps with the work

4 0
3 years ago
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