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Aleksandr-060686 [28]
3 years ago
11

What is the cirumference of a circle with a diameter of 4.1 cm

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

<em>Answer:</em>

<em>C = 12.88</em>

<em>Step-by-step explanation:</em>

<em>If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by </em><em>π</em><em> to get the diameter.</em>

<em>C = π d = π · 4.1 = </em><em>12.88</em><em>053cm </em>

Glad to help ya!!

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Step-by-step explanation:

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A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
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Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
3 years ago
the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
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Answer:

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Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

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or, 1.16326 = (1+\dfrac{R}{36500})^{2555}

or, (1.16326)^{\frac{1}{2555}} = 1 + \frac{R}{36500}

1.00005919 - 1 =  \frac{R}{36500}

or, 0.00005919 =  \frac{R}{36500}

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If
Vitek1552 [10]

Answer:

Given :

→x-y=12

→xy= 3²

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Equation formed:

{(x - y)}^{2}  =  {x}^{2}  +  {y}^{2}  - 2xy

Step by step explanation:

{(12)}^{2}  =  {x}^{2}  +  {y}^{2}  - 2 \times 9 \\  144   + 18 =  {x}^{2}  +  {y}^{2}  \\  = 162

hope it helped you:)

8 0
3 years ago
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