Whats 1.64 as a mixed number in simplest form

What is the relationship between 0.04 and 0.004?

Nimfa-mama [501]

We have to determine the relationship between 0.04 and 0.004. The first number, 0.04 is 4 hundredths and the secind number ( 0.004 ) is 4 thousanths. Therefore 0.04 is larger than 0.004. if we divide 0.04 : 0.004 = 40 : 4 = 10. Answer : 0.04 is 10 times greater<span> than 0.004.</span>

4 0

3 years ago

A circle is inscribed in a square, as shown in the figure below. The length of

mafiozo [28]

Answer:

78.5 cm^2

Step-by-step explanation:

the circle's diameter is 10cm --> its radius is 5cm

the area of the circle is 5^2 x 3.14 = 78.5cm^2

4 0

3 years ago

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$