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GaryK [48]
3 years ago
5

Lanessa pours a can of mixed fruit into a bowl. There are 17 grapes, 8 cherries, and 23 slices of pineapple. Without looking, sh

e reaches in with her spoon and pulls out one piece of fruit. What is the best answer for the probability that she will spoon out a cherry? A 1/7 B 9/48 C 1/6 D 8/40
Mathematics
2 answers:
lubasha [3.4K]3 years ago
8 0

Answer:

C 1/6

Step-by-step explanation:

To calculate this probability, we need to add up all the fruits in the bowl (17 + 8 +23 = 48)  and then isolate the number of fruits we are trying to spoon out (8). Putting this into the probability fraction, this becomes 8/48 or 1/6. So, Lanessa has a 1/6th chance of spooning out a cherry.

Liula [17]3 years ago
3 0

Answer:

C

Step-by-step explanation:

There are a total of 17+8+23=48 possible outcomes for her to pick a fruit. Out of those, 8 are cherries, meaning that the probability of her randomly picking one is 8/48=1/6. Hope this helps!

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When the target number is rounded to the nearest million, the millions digit is 1.
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185445

Step-by-step explanation:

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2 years ago
A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
Vlad1618 [11]

Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

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Answer:

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Step-by-step explanation:

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1 foot = 12 inches

Therefore:

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Ratio:

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