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MArishka [77]
2 years ago
9

One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​

Mathematics
1 answer:
iogann1982 [59]2 years ago
4 0

Answer:

22 divided 5 I would think

Step-by-step explanation:

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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}
7 0
3 years ago
What is the product (2t+1) (t-4)
____ [38]

Answer:

Step-by-step explanation:

(2t+1)(t-4)

= 2t^2 - 8t + t - 4

= 27^2 - 7t - 4

3 0
3 years ago
Simplify 7 - (-4) + 3(-6).
Ket [755]
The answer would be -7.

7 - (-4) - 18 (Simplify 3 * (-6) to -18)

7 + 4 - 18 ( Simplify brackets )

-7 (Simplify).
8 0
3 years ago
Solve Problems Using Division David and Jake a are making cookies. They each get 2 rolls of cookie dough and they are cutting up
trapecia [35]

Answer:

<u>David will have the most cookies and he will have two cookies more than Jake</u>

Step-by-step explanation:

1. Let's calculate how many cookies will David cut with his cutter, this way:

Number of cookies = Rolls of cookie dough/Size of the segment

Replacing with the values we know:

Number of cookies = 2/(1/8)

Number of cookies = 16

2. Let's calculate how many cookies will Jake cut with his cutter, this way:

Number of cookies = Rolls of cookie dough/Size of the segment

Replacing with the values we know:

Number of cookies = 2/(1/7)

Number of cookies = 14

<u>David will have the most cookies and he will have two cookies more than Jake</u>

5 0
3 years ago
Write the prime factorization of 1323 ​
natima [27]

Answer:

3^3 times 7^2

Step-by-step explanation:

4 0
3 years ago
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