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2 years ago

Error Analysis Your friend says that the volume of this sphere is 44.58

Mathematics

1 answer:

Maurinko [17]2 years ago

6 0

Answer:

the given dimension was used as the radius
5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

V = 4/3πr³ . . . . . where r is the radius

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

The correct volume, using 2.2 m as the diameter, is ...

V = 4/3π(1.1 m)³ ≈ 5.57 m³

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Mr. Heath organizes a six-game tournament where players will

EleoNora [17]

9514 1404 393

Answer:

(W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

4 0

2 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2

mylen [45]

Product is multiplication.

Since the answer needs to be greater than 2 either the fraction needs to be an improper fraction ( meaning the fraction would be greater than 1) or the whole number would need to be greater than 2.

One answer would be 5 x 2/3 = 3 1/3

3 0

3 years ago

Can anyone help me with this?

matrenka [14]

Answer:

$\sqrt{7}$