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mixas84 [53]
3 years ago
12

For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f

riend will join her with probability 0.70 . Find the probability that when Cindi takes her trip, either Cindi's friend does not come to New England, or she does come but it is mostly cloudy. Assume that the timing of her coming to New England is independent of the weather conditions
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

=(A^{|} )=1-P(A)=1-0.7=0.3

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

P(A \cap B)= P(A)P(B)=0.1*0.7=0.07

The probability of A doesn´t happen or A and B happen is:

P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

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Ratio Question;
SashulF [63]

*Given

Money of Phoebe            - 3 times as much as Andy

Money of Andy                - 2 times as much as Polly

Total money of Phoebe,  - £270

   Andy and Polly

*Solution

Let

B - Phoebe's money

A - Andy's money

L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

                 B + A + L  = £270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

 

                 B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                 A = 2L                           (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

                B = 3A

                B = 3 x (2L)

                B = 6L                            (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

                 6L + 2L + L = £270

                               9L = £270

                                 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

                 A = 2L                          

                 A = 2(£30)

                 A = £60

Andy has £60

                 B = 6L                        

                 B = 6(£30)

                 B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

3 0
3 years ago
If the endpoints of the diameter of a circle are (-8,0) and (-12,2). what is the standard form equation of the circle?​
Sati [7]

i honestly dont know, but good luck

6 0
3 years ago
Solve for x. <br> A) 11<br> B) 9<br> C) 6<br> D) 7
DIA [1.3K]

Answer:

Step-by-step explanation:

Angle  BCA is inscribed in that circle.  The rule is that the inscribed angle is half the measure of the arc it intercepts.  The arc it intercepts is arc AB which measures 96 degrees.  That means that

4x+4=\frac{1}{2}(96) and

4x + 4 = 48 and

4x = 44 so

x = 11

Choice A is the one you want.

8 0
3 years ago
At a certain college, there were 700 science majors, 300 engineering majors, and 500 business majors. If one student was selecte
Sliva [168]
The probability that the major of one student that is selected at random is engineering can be calculated by the total number of engineering major divided by the total number of students

p = engineering / total students
p = 300 / ( 300 + 700 + 500)
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4 divided by -3 as a simplified fraction
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Answer:

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