All categories

1 year ago

Caden removed the label of a soup can like the one shown. What is the approximate area of the label if the can is 4 inches high

Mathematics

1 answer:

Dominik [7]1 year ago

5 0

EXPLANATION

If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

$\text{Area}_{\text{label}}=2\pi rh$

Replacing terms:

$\text{Area}_{\text{label}}=2\pi\cdot1.5\cdot4=12\pi=37.7in^2$

The approximate area is 37.7 in^2

You might be interested in

In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

A machine packs 2/5 of a box every 1/2 minute. What is the number of boxes per minute packed? Why?

Alla [95]

If it is packed 2/5 in 1/2 minutes

1 minute =2/5*2=4/5 or 0.8 boxes/min

4 0

3 years ago

What is latus rectum?

anyanavicka [17]

Latus rectum is the line segment that passes through the focus, is perpendicular to the axis, and has both endpoints on the curve.
<span />

8 0

3 years ago

Read 2 more answers

If the radius of the circle is 4 cm, find its circumference. [Use 3.14 for π.]

vlabodo [156]

Answer:

B.25.12

Step-by-step explanation:

Solution

C=2πr=2·π·4≈25.13274cm

Hope this helps!

7 0

3 years ago

Read 2 more answers

2.6 I’m a improper fraction

slavikrds [6]

Answer:

26/10 is your answer

Step-by-step explanation:

2 6/10 = 26/10

2 is your whole and 6 is your numerator and 10 is your denominator since 6 is in the TENTHS place.

8 0

3 years ago