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3 years ago

Is 144 a natural number yes or no

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

5 0

Answer:

is 144 a natural number yes or no

Yes

I'm not sure

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A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your an

Assoli18 [71]

9514 1404 393

Answer:

a) 3.491 in/s

b) 3.333 RPM

c) 0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

s = rθ

so the linear speed along the arc is ...

s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

The rotation rate of 20°/s is an angular velocity of ...

(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

π/9 rad/s ≈ 0.349 rad/s

3 0

3 years ago

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â Suppose a small group of 11 Allen's humming

alexira [117]

Answer:

$3.15-1.28\frac{0.38}{\sqrt{11}}=3.003$

$3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297$

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

$ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=3.15$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=0.38$ represent the population standard deviation

n=11 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that $z_{\alpha/2}=1.28$

Now we have everything in order to replace into formula (1):

$3.15-1.28\frac{0.38}{\sqrt{11}}=3.003$

$3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297$

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

$ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147$

8 0

3 years ago

-7.4r - 6.31 = 3.23 - 5.6r

nikdorinn [45]

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

r=−5.3

4 0

3 years ago

What is 464.1587734 in fraction form

loris [4]

Answer:

464.1587734 = 464 793867/5000000

3 0

3 years ago

What is the following quotient? ^3 square root 60 over ^3 square root of 20

ohaa [14]

The answer is the first one

4 0

3 years ago

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Is 144 a natural number yes or no​

Is 144 a natural number yes or no