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Alja [10]
3 years ago
8

Can y’all help me plz

Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0

Answer:

A. 54 pie cm³

Step-by-step explanation:

height of the cylinder = 6 × radius of one sphere.

= 6 × 3

= 18 cm

as we can see 3 spheres make up the height of one cylinder,

height of one sphere = 6 cm (3 + 3)

with three spheres it becomes = 6 × 3

= 18 cm

  • volume of a cylinder = \pi r² h

= \pi × (9)² × 18

= 27 × 6 \pi

  • volume of a sphere = 4/ 3 × \pi 3³

= 36 \pi

  • for 3 spheres

volume = 3 × (36 \pi )

= 27 × 4 \pi

volume of the empty space

= volume of cylinder- volume of 3 spheres

= 27 × 6 \pi - 27 × 4 \pi

= 27 \pi ( 6 - 4)

= 27 × 2 \pi

<h3>= 54 \pi cm³</h3>
WITCHER [35]3 years ago
7 0

Answer:

Step-by-step explanation:

I think it is A

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Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.
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Raising a whole number to a power means: 

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Help please I realy nead help
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Answer:

B) 77.5 square feet

Step-by-step explanation:

cut shape into rectangle and triangle

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3 0
2 years ago
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While researching the cost of school lunches per week across the state, you use a sample size of 45 weekly lunch prices. The sta
Drupady [299]

We assume the lunch prices we observe are drawn from a normal distribution with true mean \mu and standard deviation 0.68 in dollars.


We average n=45 samples to get \bar{x}.


The standard deviation of the average (an experiment where we collect 45 samples and average them) is the square root of n times smaller than than the standard deviation of the individual samples. We'll write


\sigma = 0.68 / \sqrt{45} = 0.101


Our goal is to come up with a confidence interval (a,b) that we can be 90% sure contains \mu.


Our interval takes the form of ( \bar{x} - z \sigma, \bar{x} + z \sigma ) as \bar{x} is our best guess at the middle of the interval. We have to find the z that gives us 90% of the area of the bell in the "middle".


Since we're given the standard deviation of the true distribution we don't need a t distribution or anything like that. n=45 is big enough (more than 30 or so) that we can substitute the normal distribution for the t distribution anyway.


Usually the questioner is nice enough to ask for a 95% confidence interval, which by the 68-95-99.7 rule is plus or minus two sigma. Here it's a bit less; we have to look it up.


With the right table or computer we find z that corresponds to a probability p=.90 the integral of the unit normal from -z to z. Unfortunately these tables come in various flavors and we have to convert the probability to suit. Sometimes that's a one sided probability from zero to z. That would be an area aka probability of 0.45 from 0 to z (the "body") or a probability of 0.05 from z to infinity (the "tail"). Often the table is the integral of the bell from -infinity to positive z, so we'd have to find p=0.95 in that table. We know that the answer would be z=2 if our original p had been 95% so we expect a number a bit less than 2, a smaller number of standard deviations to include a bit less of the probability.


We find z=1.65 in the typical table has p=.95 from -infinity to z. So our 90% confidence interval is


( \bar{x} - 1.65 (.101),  \bar{x} + 1.65 (.101) )


in other words a margin of error of


\pm 1.65(.101) = \pm 0.167 dollars


That's around plus or minus 17 cents.




3 0
3 years ago
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What’s the square root of 12?
Snezhnost [94]

Answer:

2√3

Step-by-step explanation:

√2^2x3

√2^2 √3

2√3 (answer)

7 0
3 years ago
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