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Alex_Xolod [135]
3 years ago
9

Sarah had 1/2 gallon of ice cream and wants to divide it into one cup servings to share with her class. A cup is one-sixteenth o

f a gallon. How many servings dishes will she need?
Mathematics
1 answer:
sergey [27]3 years ago
6 0
She needs 8 serving dishes because you can only make 8 one cup servings out of a half gallon of ice-cream.


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A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ 
E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ 
E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
P(E^{c})= \frac{3}{12} \\  \\ 
P(E^{c})= \frac{1}{4}
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3 years ago
Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than two times the number of coins Nancy has. Write and
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2 years ago
Please help on this one!! I need it in ASAP :(
lisov135 [29]

Answer:

Hey there! here's your answer

Step-by-step explanation:

Speed = distance/Time

Speed = 3/5 ÷ 1/2

Speed = 3/5 * 2

Speed = 6/5 mph or 1.2 mph.

5 0
3 years ago
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5 0
2 years ago
The table shows some
valentinak56 [21]

Answer:

<u>For 1 quart of orange juice:</u>

Calories =  448

Vitamin C =  387.6 mg

Carbohydrates  = 107.56 mg

Step-by-step explanation:

The following information is given about 1 CUP of orange juice:

<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>

Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.

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Carbohydrates = 26.89 * 4 = 107.56 mg

6 0
2 years ago
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