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1 year ago

What is the value of the t score for a 99% confidence interval if we take a sample of size 20?

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

4 0

Answer:

2.861

Step-by-step explanation:

What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.

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3 years ago

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denpristay [2]

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3 years ago

Estimate the square root of 46 to the nearest integer

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6,782 is the nearest root.

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3 years ago

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

daser333 [38]

Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$

Step-by-step explanation:

The volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

The rate of change of volume means,

$\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}$

We have, $\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm$

So,

$\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s$

So, the volume is increasing at the rate of $502.65\ mm^3/s$ .

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3 years ago