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3 years ago

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A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the sphere

s?
The volume of the larger sphere is ___π cubic meters greater than the volume of the smaller sphere.

1 answer:

sweet [91]3 years ago

4 0

Answer:

252pi cubic meters larger

Step-by-step explanation:

4/3 pi r^3

288

36

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An SRS of 27 students at UH gave an average height of 5.6 feet and a standard deviation of .1 feet.Construct a 90% confidence in

Juliette [100K]

Answer:

Option a) [5.567, 5.633]

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 5.6 feet

Sample size, n = 27

Alpha, α = 0.10

Sample standard deviation, s = 0 .1 feet

90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 26 and}~\alpha_{0.10} = \pm 1.7056$

$5.6 \pm 1.7056(\displaystyle\frac{0.1}{\sqrt{27}} ) = 5.6 \pm 0.0328 = (5.5672 ,5.6328) \approx (5.567,5.633)$

Option a) [5.567, 5.633]

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3 years ago

Find the percent error for the length of the soccer field. Round your answer to the nearest tenth.

maxonik [38]

Answer:

The percent error of the length of the soccer field is 1.4%

Step-by-step explanation:

Actual length of soccer field = 500 feet

Length shown in measuring instrument = 493 feet

We need to find the percent error of the length of the soccer field.

The formula used to find percent error of the length of the soccer field is: $Percent\:error=\frac{approximate\;value-exact\:value}{exact\:value}\times 100\%$

The exact length = 500

Approximate length = 493

Putting values and finding percent error

$Percent\:error=|\frac{approximate\;value-exact\:value}{exact\:value}|\times 100\%\\Percent\:error=|\frac{493-500}{500}|\times 100\%\\Percent\:error=|-0.014|\times 100\%\\Percent\:error=0.014\times 100\%\\Percent\:error=1.4\%$

So, the percent error of the length of the soccer field is 1.4%

8 0

2 years ago

Wally chin, the owner of an exxon mobil station, bought a used ford pickup truck, paying $1,900 as a down payment. He still owes

My name is Ann [436]

Down payment of the ford pickup truck = $1,900.

It is said that down payment amount $1,900 owes 75% of the selling price.

Therefore, 100-75 = 25% is the downpayment of total Selling price.

Let is assume selling price is $x.

According to problem,

25% of the selling price equals down payment amount $1,900.

Let us convert above statement into an equation.

25% of x is 1,900.

That is 25% x = 1,900.

25% could be written as 25/100 or 0.25.

So, the above equation would become

0.25x = 1,900.

Dividing both sides by 0.25, we get

0.75x/0.25 = 1,900/0.25

x=7600

So, the selling price would be $7600.

3 0

3 years ago

Read 2 more answers

Marina's New Year's resolution is to ride her bike 5000 miles.

o-na [289]

Answer:

m5000=d

Step-by-step explanation:

or d5000=m

8 0

3 years ago

The Sweet Treat sells 40 lbs of gummy bears and 30 caramel apples every day. At this rate, how many lbs of gummy bears will be s

Sliva [168]

Answer:

8 pounds of gummy bears.

Step-by-step explanation:

To find this answer I did:

40/30 = 4/3

Then,

4/3 x 6 = 24/3

This simplified is 8.

To check:

8/6 x 5 = 40/30

3 0

3 years ago