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3 years ago

What is the standard deviation of 6, 2, 3, 1

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2: 3.5

Steps

σ2 = Σ(xi - μ)2

N = (6 - 3)2 + ... + (1 - 3)2

4 = 14

4 = 3.5

σ = √3.5

= 1.870828693387

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Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Please I need help

lesantik [10]

3yds or 5yds is the closest

5 0

3 years ago

Convert 8 miles into feet and then into inches.

Orlov [11]

Answer:

5,280 * 8 = 42,240

42,240 feet

42,240 * 12 = 506,880

506,880 inches

Step-by-step explanation:

5 0

2 years ago

What is the solution to the inequality |2n+5| > 1 ?

Serhud [2]

Answer:

n > -2 or n < -3

Step-by-step explanation:

|2n+5| > 1

We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative

2n+5 > 1 or 2n+5 < -1

Subtract 5 from each side

2n+5-5 > 1-5 2n+5 -5 < -1 -5

2n >-4 2n < -6

Divide by 2

2n/2 > -4/2 2n/2 < -6/2

n > -2 or n < -3

4 0

3 years ago

Mrs. Miller wants to estimate the widths the steps in front of her house . Best bench mark for her to use is ?

Arisa [49]

The best bench mark to use is an inch. She should use an inch because centimeters are too small and the steps might be less than a foot.

7 0

3 years ago